Exemple #1
0
def ParametricEnneper(**kwargs):
    """Generate Enneper's surface.

    ParametricEnneper generates Enneper's surface.
    Enneper's surface is a a self-intersecting minimal surface
    possessing constant negative Gaussian curvature

    Returns
    -------
    surf : pyvista.PolyData
        ParametricEnneper surface

    Examples
    --------
    Create a ParametricEnneper mesh

    >>> import pyvista
    >>> mesh = pyvista.ParametricEnneper()
    >>> mesh.plot(color='w', smooth_shading=True)  # doctest:+SKIP

    """
    parametric_function = vtk.vtkParametricEnneper()

    center = kwargs.pop('center', [0., 0., 0.])
    direction = kwargs.pop('direction', [1., 0., 0.])
    surf = surface_from_para(parametric_function, **kwargs)

    translate(surf, center, direction)

    return surf
def MakeEnneper():
    '''
    Make a parametric surface as the source.
    :return: vtkPolyData with normal and scalar data.
    '''
    fn = vtk.vtkParametricEnneper()

    source = vtk.vtkParametricFunctionSource()
    source.SetParametricFunction(fn)
    source.SetUResolution(50)
    source.SetVResolution(50)
    source.SetScalarModeToZ()
    source.Update()
    # Name the arrays (not needed in VTK 6.2+ for vtkParametricFunctionSource)
    source.GetOutput().GetPointData().GetNormals().SetName('Normals')
    # We have calculated the elevation, just rename the scalars.
    source.GetOutput().GetPointData().GetScalars().SetName('Elevation')
    return CalculateCurvatures(source.GetOutput())
Exemple #3
0
def MakeEnneper():
    """
    Make a parametric surface as the source.
    :return: vtkPolyData with normal and scalar data.
    """
    fn = vtk.vtkParametricEnneper()

    source = vtk.vtkParametricFunctionSource()
    source.SetParametricFunction(fn)
    source.SetUResolution(50)
    source.SetVResolution(50)
    source.SetScalarModeToZ()
    source.Update()
    # Name the arrays (not needed in VTK 6.2+ for vtkParametricFunctionSource)
    source.GetOutput().GetPointData().GetNormals().SetName('Normals')
    # We have calculated the elevation, just rename the scalars.
    source.GetOutput().GetPointData().GetScalars().SetName('Elevation')
    return CalculateCurvatures(source.GetOutput())
Exemple #4
0
    def testParametricFunctions(self):
        # ------------------------------------------------------------
        # Get a texture
        # ------------------------------------------------------------
        textureReader = vtk.vtkJPEGReader()
        textureReader.SetFileName(VTK_DATA_ROOT + "/Data/beach.jpg")
        texture = vtk.vtkTexture()
        texture.SetInputConnection(textureReader.GetOutputPort())

        # ------------------------------------------------------------
        # For each parametric surface:
        # 1) Create it
        # 2) Assign mappers and actors
        # 3) Position the object
        # 5) Add a label
        # ------------------------------------------------------------

        # ------------------------------------------------------------
        # Create a torus
        # ------------------------------------------------------------
        torus = vtk.vtkParametricTorus()
        torusSource = vtk.vtkParametricFunctionSource()
        torusSource.SetParametricFunction(torus)
        torusSource.SetScalarModeToPhase()

        torusMapper = vtk.vtkPolyDataMapper()
        torusMapper.SetInputConnection(torusSource.GetOutputPort())
        torusMapper.SetScalarRange(0, 360)

        torusActor = vtk.vtkActor()
        torusActor.SetMapper(torusMapper)
        torusActor.SetPosition(0, 12, 0)

        torusTextMapper = vtk.vtkTextMapper()
        torusTextMapper.SetInput("Torus")
        torusTextMapper.GetTextProperty().SetJustificationToCentered()
        torusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        torusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        torusTextMapper.GetTextProperty().SetFontSize(14)
        torusTextActor = vtk.vtkActor2D()
        torusTextActor.SetMapper(torusTextMapper)
        torusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        torusTextActor.GetPositionCoordinate().SetValue(0, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Klein bottle
        # ------------------------------------------------------------
        klein = vtk.vtkParametricKlein()
        kleinSource = vtk.vtkParametricFunctionSource()
        kleinSource.SetParametricFunction(klein)
        kleinSource.SetScalarModeToU0V0()

        kleinMapper = vtk.vtkPolyDataMapper()
        kleinMapper.SetInputConnection(kleinSource.GetOutputPort())
        kleinMapper.SetScalarRange(0, 3)

        kleinActor = vtk.vtkActor()
        kleinActor.SetMapper(kleinMapper)
        kleinActor.SetPosition(8, 10.5, 0)

        kleinTextMapper = vtk.vtkTextMapper()
        kleinTextMapper.SetInput("Klein")
        kleinTextMapper.GetTextProperty().SetJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        kleinTextMapper.GetTextProperty().SetFontSize(14)
        kleinTextActor = vtk.vtkActor2D()
        kleinTextActor.SetMapper(kleinTextMapper)
        kleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        kleinTextActor.GetPositionCoordinate().SetValue(8, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Figure-8 Klein
        # ------------------------------------------------------------
        klein2 = vtk.vtkParametricFigure8Klein()
        klein2Source = vtk.vtkParametricFunctionSource()
        klein2Source.SetParametricFunction(klein2)
        klein2Source.GenerateTextureCoordinatesOn()

        klein2Mapper = vtk.vtkPolyDataMapper()
        klein2Mapper.SetInputConnection(klein2Source.GetOutputPort())
        klein2Mapper.SetScalarRange(0, 3)

        klein2Actor = vtk.vtkActor()
        klein2Actor.SetMapper(klein2Mapper)
        klein2Actor.SetPosition(16, 12, 0)
        klein2Actor.SetTexture(texture)


        fig8KleinTextMapper = vtk.vtkTextMapper()
        fig8KleinTextMapper.SetInput("Fig-8.Klein")
        fig8KleinTextMapper.GetTextProperty().SetJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        fig8KleinTextMapper.GetTextProperty().SetFontSize(14)
        fig8KleinTextActor = vtk.vtkActor2D()
        fig8KleinTextActor.SetMapper(fig8KleinTextMapper)
        fig8KleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        fig8KleinTextActor.GetPositionCoordinate().SetValue(16, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Mobius strip
        # ------------------------------------------------------------
        mobius = vtk.vtkParametricMobius()
        mobiusSource = vtk.vtkParametricFunctionSource()
        mobiusSource.SetParametricFunction(mobius)
        mobiusSource.GenerateTextureCoordinatesOn()

        mobiusMapper = vtk.vtkPolyDataMapper()
        mobiusMapper.SetInputConnection(mobiusSource.GetOutputPort())

        mobiusActor = vtk.vtkActor()
        mobiusActor.SetMapper(mobiusMapper)
        mobiusActor.RotateX(45)
        mobiusActor.SetPosition(24, 12, 0)
        mobiusActor.SetTexture(texture)

        mobiusTextMapper = vtk.vtkTextMapper()
        mobiusTextMapper.SetInput("Mobius")
        mobiusTextMapper.GetTextProperty().SetJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        mobiusTextMapper.GetTextProperty().SetFontSize(14)
        mobiusTextActor = vtk.vtkActor2D()
        mobiusTextActor.SetMapper(mobiusTextMapper)
        mobiusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        mobiusTextActor.GetPositionCoordinate().SetValue(24, 9.5, 0)

        # ------------------------------------------------------------
        # Create a super toroid
        # ------------------------------------------------------------
        toroid = vtk.vtkParametricSuperToroid()
        toroid.SetN1(2)
        toroid.SetN2(3)
        toroidSource = vtk.vtkParametricFunctionSource()
        toroidSource.SetParametricFunction(toroid)
        toroidSource.SetScalarModeToU()

        toroidMapper = vtk.vtkPolyDataMapper()
        toroidMapper.SetInputConnection(toroidSource.GetOutputPort())
        toroidMapper.SetScalarRange(0, 6.28)

        toroidActor = vtk.vtkActor()
        toroidActor.SetMapper(toroidMapper)
        toroidActor.SetPosition(0, 4, 0)

        superToroidTextMapper = vtk.vtkTextMapper()
        superToroidTextMapper.SetInput("Super.Toroid")
        superToroidTextMapper.GetTextProperty().SetJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superToroidTextMapper.GetTextProperty().SetFontSize(14)
        superToroidTextActor = vtk.vtkActor2D()
        superToroidTextActor.SetMapper(superToroidTextMapper)
        superToroidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superToroidTextActor.GetPositionCoordinate().SetValue(0, 1.5, 0)

        # ------------------------------------------------------------
        # Create a super ellipsoid
        # ------------------------------------------------------------
        superEllipsoid = vtk.vtkParametricSuperEllipsoid()
        superEllipsoid.SetXRadius(1.25)
        superEllipsoid.SetYRadius(1.5)
        superEllipsoid.SetZRadius(1.0)
        superEllipsoid.SetN1(1.1)
        superEllipsoid.SetN2(1.75)
        superEllipsoidSource = vtk.vtkParametricFunctionSource()
        superEllipsoidSource.SetParametricFunction(superEllipsoid)
        superEllipsoidSource.SetScalarModeToV()

        superEllipsoidMapper = vtk.vtkPolyDataMapper()
        superEllipsoidMapper.SetInputConnection(superEllipsoidSource.GetOutputPort())
        superEllipsoidMapper.SetScalarRange(0, 3.14)

        superEllipsoidActor = vtk.vtkActor()
        superEllipsoidActor.SetMapper(superEllipsoidMapper)
        superEllipsoidActor.SetPosition(8, 4, 0)

        superEllipsoidTextMapper = vtk.vtkTextMapper()
        superEllipsoidTextMapper.SetInput("Super.Ellipsoid")
        superEllipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superEllipsoidTextMapper.GetTextProperty().SetFontSize(14)
        superEllipsoidTextActor = vtk.vtkActor2D()
        superEllipsoidTextActor.SetMapper(superEllipsoidTextMapper)
        superEllipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superEllipsoidTextActor.GetPositionCoordinate().SetValue(8, 1.5, 0)

        # ------------------------------------------------------------
        # Create an open 1D spline
        # ------------------------------------------------------------
        splinePoints = [
          [0.50380158308139134, -0.60679315105396936, -0.37248976406291578],
          [-0.4354646054261665, -0.85362339758017258, -0.84844312996065385],
          [0.2163147512899315, -0.39797507012168643, -0.76700353518454523],
          [0.97158415334838644, -0.58513467367046257, -0.35846037946569753],
          [-0.64359767997804918, -0.94620739107309249, -0.90762176546623086],
          [-0.39901219094126117, -0.1978931497772658, 0.0098316934936828471],
          [-0.75872745167404765, 0.067719714281950116, 0.165237936733867],
          [-0.84599731389712418, -0.67685466896596114, 0.10357868909071133],
          [0.84702754758625654, -0.0080077177882230677, -0.58571286666473044],
          [-0.076150034124101484, 0.14637647622561856, 0.1494359239700418] ]
        inputPoints = vtk.vtkPoints()
        for i in range(0, 10):
            inputPoints.InsertPoint(i, splinePoints[i])

        spline = vtk.vtkParametricSpline()
        spline.SetPoints(inputPoints)
        spline.ClosedOff()
        splineSource = vtk.vtkParametricFunctionSource()
        splineSource.SetParametricFunction(spline)

        splineMapper = vtk.vtkPolyDataMapper()
        splineMapper.SetInputConnection(splineSource.GetOutputPort())

        splineActor = vtk.vtkActor()
        splineActor.SetMapper(splineMapper)
        splineActor.SetPosition(16, 4, 0)
        splineActor.GetProperty().SetColor(0, 0, 0)

        splineTextMapper = vtk.vtkTextMapper()
        splineTextMapper.SetInput("Open.Spline")
        splineTextMapper.GetTextProperty().SetJustificationToCentered()
        splineTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        splineTextMapper.GetTextProperty().SetColor(1, 0, 0)
        splineTextMapper.GetTextProperty().SetFontSize(14)
        splineTextActor = vtk.vtkActor2D()
        splineTextActor.SetMapper(splineTextMapper)
        splineTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        splineTextActor.GetPositionCoordinate().SetValue(16, 1.5, 0)

        # ------------------------------------------------------------
        # Create a closed 1D spline
        # ------------------------------------------------------------
        spline2 = vtk.vtkParametricSpline()
        spline2.SetPoints(inputPoints)
        spline2.ClosedOn()
        spline2Source = vtk.vtkParametricFunctionSource()
        spline2Source.SetParametricFunction(spline2)

        spline2Mapper = vtk.vtkPolyDataMapper()
        spline2Mapper.SetInputConnection(spline2Source.GetOutputPort())

        spline2Actor = vtk.vtkActor()
        spline2Actor.SetMapper(spline2Mapper)
        spline2Actor.SetPosition(24, 4, 0)
        spline2Actor.GetProperty().SetColor(0, 0, 0)

        spline2TextMapper = vtk.vtkTextMapper()
        spline2TextMapper.SetInput("Closed.Spline")
        spline2TextMapper.GetTextProperty().SetJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetColor(1, 0, 0)
        spline2TextMapper.GetTextProperty().SetFontSize(14)
        spline2TextActor = vtk.vtkActor2D()
        spline2TextActor.SetMapper(spline2TextMapper)
        spline2TextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        spline2TextActor.GetPositionCoordinate().SetValue(24, 1.5, 0)

        # ------------------------------------------------------------
        # Create a spiral conic
        # ------------------------------------------------------------
        sconic = vtk.vtkParametricConicSpiral()
        sconic.SetA(0.8)
        sconic.SetB(2.5)
        sconic.SetC(0.4)
        sconicSource = vtk.vtkParametricFunctionSource()
        sconicSource.SetParametricFunction(sconic)
        sconicSource.SetScalarModeToDistance()

        sconicMapper = vtk.vtkPolyDataMapper()
        sconicMapper.SetInputConnection(sconicSource.GetOutputPort())
        sconicActor = vtk.vtkActor()
        sconicActor.SetMapper(sconicMapper)
        sconicMapper.SetScalarRange(0, 9)
        sconicActor.SetPosition(0, -4, 0)
        sconicActor.SetScale(1.2, 1.2, 1.2)

        sconicTextMapper = vtk.vtkTextMapper()
        sconicTextMapper.SetInput("Spiral.Conic")
        sconicTextMapper.GetTextProperty().SetJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetColor(1, 0, 0)
        sconicTextMapper.GetTextProperty().SetFontSize(14)
        sconicTextActor = vtk.vtkActor2D()
        sconicTextActor.SetMapper(sconicTextMapper)
        sconicTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        sconicTextActor.GetPositionCoordinate().SetValue(0, -6.5, 0)

        # ------------------------------------------------------------
        # Create Boy's surface
        # ------------------------------------------------------------
        boy = vtk.vtkParametricBoy()
        boySource = vtk.vtkParametricFunctionSource()
        boySource.SetParametricFunction(boy)
        boySource.SetScalarModeToModulus()

        boyMapper = vtk.vtkPolyDataMapper()
        boyMapper.SetInputConnection(boySource.GetOutputPort())
        boyMapper.SetScalarRange(0, 2)
        boyActor = vtk.vtkActor()
        boyActor.SetMapper(boyMapper)
        boyActor.SetPosition(8, -4, 0)
        boyActor.SetScale(1.5, 1.5, 1.5)

        boyTextMapper = vtk.vtkTextMapper()
        boyTextMapper.SetInput("Boy")
        boyTextMapper.GetTextProperty().SetJustificationToCentered()
        boyTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        boyTextMapper.GetTextProperty().SetColor(1, 0, 0)
        boyTextMapper.GetTextProperty().SetFontSize(14)
        boyTextActor = vtk.vtkActor2D()
        boyTextActor.SetMapper(boyTextMapper)
        boyTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        boyTextActor.GetPositionCoordinate().SetValue(8, -6.5, 0)

        # ------------------------------------------------------------
        # Create a cross cap
        # ------------------------------------------------------------
        crossCap = vtk.vtkParametricCrossCap()
        crossCapSource = vtk.vtkParametricFunctionSource()
        crossCapSource.SetParametricFunction(crossCap)
        crossCapSource.SetScalarModeToY()

        crossCapMapper = vtk.vtkPolyDataMapper()
        crossCapMapper.SetInputConnection(crossCapSource.GetOutputPort())
        crossCapActor = vtk.vtkActor()
        crossCapActor.SetMapper(crossCapMapper)
        crossCapActor.RotateX(65)
        crossCapActor.SetPosition(16, -4, 0)
        crossCapActor.SetScale(1.5, 1.5, 1.5)

        crossCapTextMapper = vtk.vtkTextMapper()
        crossCapTextMapper.SetInput("Cross.Cap")
        crossCapTextMapper.GetTextProperty().SetJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetColor(1, 0, 0)
        crossCapTextMapper.GetTextProperty().SetFontSize(14)
        crossCapTextActor = vtk.vtkActor2D()
        crossCapTextActor.SetMapper(crossCapTextMapper)
        crossCapTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        crossCapTextActor.GetPositionCoordinate().SetValue(16, -6.5, 0)

        # ------------------------------------------------------------
        # Create Dini's surface
        # ------------------------------------------------------------
        dini = vtk.vtkParametricDini()
        diniSource = vtk.vtkParametricFunctionSource()
        diniSource.SetScalarModeToDistance()
        diniSource.SetParametricFunction(dini)

        diniMapper = vtk.vtkPolyDataMapper()
        diniMapper.SetInputConnection(diniSource.GetOutputPort())

        diniActor = vtk.vtkActor()
        diniActor.SetMapper(diniMapper)
        diniActor.RotateX(-90)
        diniActor.SetPosition(24, -3, 0)
        diniActor.SetScale(1.5, 1.5, 0.5)

        diniTextMapper = vtk.vtkTextMapper()
        diniTextMapper.SetInput("Dini")
        diniTextMapper.GetTextProperty().SetJustificationToCentered()
        diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        diniTextMapper.GetTextProperty().SetColor(1, 0, 0)
        diniTextMapper.GetTextProperty().SetFontSize(14)
        diniTextActor = vtk.vtkActor2D()
        diniTextActor.SetMapper(diniTextMapper)
        diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        diniTextActor.GetPositionCoordinate().SetValue(24, -6.5, 0)

        # ------------------------------------------------------------
        # Create Enneper's surface
        # ------------------------------------------------------------
        enneper = vtk.vtkParametricEnneper()
        enneperSource = vtk.vtkParametricFunctionSource()
        enneperSource.SetParametricFunction(enneper)
        enneperSource.SetScalarModeToQuadrant()

        enneperMapper = vtk.vtkPolyDataMapper()
        enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
        enneperMapper.SetScalarRange(1, 4)

        enneperActor = vtk.vtkActor()
        enneperActor.SetMapper(enneperMapper)
        enneperActor.SetPosition(0, -12, 0)
        enneperActor.SetScale(0.25, 0.25, 0.25)

        enneperTextMapper = vtk.vtkTextMapper()
        enneperTextMapper.SetInput("Enneper")
        enneperTextMapper.GetTextProperty().SetJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetColor(1, 0, 0)
        enneperTextMapper.GetTextProperty().SetFontSize(14)
        enneperTextActor = vtk.vtkActor2D()
        enneperTextActor.SetMapper(enneperTextMapper)
        enneperTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        enneperTextActor.GetPositionCoordinate().SetValue(0, -14.5, 0)

        # ------------------------------------------------------------
        # Create an ellipsoidal surface
        # ------------------------------------------------------------
        ellipsoid = vtk.vtkParametricEllipsoid()
        ellipsoid.SetXRadius(1)
        ellipsoid.SetYRadius(0.75)
        ellipsoid.SetZRadius(0.5)
        ellipsoidSource = vtk.vtkParametricFunctionSource()
        ellipsoidSource.SetParametricFunction(ellipsoid)
        ellipsoidSource.SetScalarModeToZ()

        ellipsoidMapper = vtk.vtkPolyDataMapper()
        ellipsoidMapper.SetInputConnection(ellipsoidSource.GetOutputPort())
        ellipsoidMapper.SetScalarRange(-0.5, 0.5)

        ellipsoidActor = vtk.vtkActor()
        ellipsoidActor.SetMapper(ellipsoidMapper)
        ellipsoidActor.SetPosition(8, -12, 0)
        ellipsoidActor.SetScale(1.5, 1.5, 1.5)

        ellipsoidTextMapper = vtk.vtkTextMapper()
        ellipsoidTextMapper.SetInput("Ellipsoid")
        ellipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        ellipsoidTextMapper.GetTextProperty().SetFontSize(14)
        ellipsoidTextActor = vtk.vtkActor2D()
        ellipsoidTextActor.SetMapper(ellipsoidTextMapper)
        ellipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        ellipsoidTextActor.GetPositionCoordinate().SetValue(8, -14.5, 0)

        # ------------------------------------------------------------
        # Create a surface with random hills on it.
        # ------------------------------------------------------------
        randomHills = vtk.vtkParametricRandomHills()
        randomHills.AllowRandomGenerationOn()
        randomHillsSource = vtk.vtkParametricFunctionSource()
        randomHillsSource.SetParametricFunction(randomHills)
        randomHillsSource.GenerateTextureCoordinatesOn()

        randomHillsMapper = vtk.vtkPolyDataMapper()
        randomHillsMapper.SetInputConnection(randomHillsSource.GetOutputPort())

        randomHillsActor = vtk.vtkActor()
        randomHillsActor.SetMapper(randomHillsMapper)
        randomHillsActor.SetPosition(16, -14, 0)
        randomHillsActor.SetScale(0.2, 0.2, 0.2)
        randomHillsActor.SetTexture(texture)

        randomHillsTextMapper = vtk.vtkTextMapper()
        randomHillsTextMapper.SetInput("Random.Hills")
        randomHillsTextMapper.GetTextProperty().SetJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetColor(1, 0, 0)
        randomHillsTextMapper.GetTextProperty().SetFontSize(14)
        randomHillsTextActor = vtk.vtkActor2D()
        randomHillsTextActor.SetMapper(randomHillsTextMapper)
        randomHillsTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        randomHillsTextActor.GetPositionCoordinate().SetValue(16, -14.5, 0)

        # ------------------------------------------------------------
        # Create Steiner's Roman Surface.
        # ------------------------------------------------------------
        roman = vtk.vtkParametricRoman()
        roman.SetRadius(1.5)
        romanSource = vtk.vtkParametricFunctionSource()
        romanSource.SetParametricFunction(roman)
        romanSource.SetScalarModeToX()

        romanMapper = vtk.vtkPolyDataMapper()
        romanMapper.SetInputConnection(romanSource.GetOutputPort())

        romanActor = vtk.vtkActor()
        romanActor.SetMapper(romanMapper)
        romanActor.SetPosition(24, -12, 0)

        romanTextMapper = vtk.vtkTextMapper()
        romanTextMapper.SetInput("Roman")
        romanTextMapper.GetTextProperty().SetJustificationToCentered()
        romanTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        romanTextMapper.GetTextProperty().SetColor(1, 0, 0)
        romanTextMapper.GetTextProperty().SetFontSize(14)
        romanTextActor = vtk.vtkActor2D()
        romanTextActor.SetMapper(romanTextMapper)
        romanTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        romanTextActor.GetPositionCoordinate().SetValue(24, -14.5, 0)

        # ------------------------------------------------------------
        # Create the RenderWindow, Renderer and both Actors
        # ------------------------------------------------------------
        ren = vtk.vtkRenderer()
        renWin = vtk.vtkRenderWindow()
        renWin.AddRenderer(ren)
        iren = vtk.vtkRenderWindowInteractor()
        iren.SetRenderWindow(renWin)

        # add actors
        ren.AddViewProp(torusActor)
        ren.AddViewProp(kleinActor)
        ren.AddViewProp(klein2Actor)
        ren.AddViewProp(toroidActor)
        ren.AddViewProp(superEllipsoidActor)
        ren.AddViewProp(mobiusActor)
        ren.AddViewProp(splineActor)
        ren.AddViewProp(spline2Actor)
        ren.AddViewProp(sconicActor)
        ren.AddViewProp(boyActor)
        ren.AddViewProp(crossCapActor)
        ren.AddViewProp(diniActor)
        ren.AddViewProp(enneperActor)
        ren.AddViewProp(ellipsoidActor)
        ren.AddViewProp(randomHillsActor)
        ren.AddViewProp(romanActor)
        #add text actors
        ren.AddViewProp(torusTextActor)
        ren.AddViewProp(kleinTextActor)
        ren.AddViewProp(fig8KleinTextActor)
        ren.AddViewProp(mobiusTextActor)
        ren.AddViewProp(superToroidTextActor)
        ren.AddViewProp(superEllipsoidTextActor)
        ren.AddViewProp(splineTextActor)
        ren.AddViewProp(spline2TextActor)
        ren.AddViewProp(sconicTextActor)
        ren.AddViewProp(boyTextActor)
        ren.AddViewProp(crossCapTextActor)
        ren.AddViewProp(diniTextActor)
        ren.AddViewProp(enneperTextActor)
        ren.AddViewProp(ellipsoidTextActor)
        ren.AddViewProp(randomHillsTextActor)
        ren.AddViewProp(romanTextActor)

        ren.SetBackground(0.7, 0.8, 1)
        renWin.SetSize(500, 500)
        ren.ResetCamera()
        ren.GetActiveCamera().Zoom(1.3)

        iren.Initialize()
        renWin.Render()

        img_file = "TestParametricFunctions.png"
        # NOTE: this test has a companion .tcl test. The threshold set
        #  here should be the same as the threshold in the .tcl
        #  test. Both tests should produce exactly the same results.
        vtk.test.Testing.compareImage(iren.GetRenderWindow(), vtk.test.Testing.getAbsImagePath(img_file), threshold=10)
        vtk.test.Testing.interact()
Exemple #5
0
    return A


lst = [
    #vtk.vtkParametricBoy(),
    #vtk.vtkParametricConicSpiral(),
    #vtk.vtkParametricCrossCap(),
    #vtk.vtkParametricDini(),
    #vtk.vtkParametricFigure8Klein(),
    #vtk.vtkParametricKlein(),
    #vtk.vtkParametricKuen(),
    #vtk.vtkParametricMobius(),
    #vtk.vtkParametricPseudosphere(),
    #vtk.vtkParametricRoman(),
    vtk.vtkParametricCatalanMinimal(),
    vtk.vtkParametricEnneper(),
    vtk.vtkParametricHenneberg(),
    vtk.vtkParametricPluckerConoid(),
    vtk.vtkParametricRandomHills(),
    #vtk.vtkParametricSpline(),
    #vtk.vtkParametricEllipsoid(),
    #vtk.vtkParametricSuperEllipsoid(),
    #vtk.vtkParametricSuperToroid(),
    #vtk.vtkParametricTorus(),
]

lst2 = [
    vtk.vtkParametricCatalanMinimal(),  # 4 lobi - brutto
    vtk.vtkParametricEllipsoid(),  # e' una palla -- vedere params
    vtk.vtkParametricEnneper(),  # grosso -- farfalla
    vtk.vtkParametricHenneberg(),  # grosso -- farfalla
Exemple #6
0
diniActor.SetPosition(24, -3, 0)
diniActor.SetScale(1.5, 1.5, 0.5)
diniTextMapper = vtk.vtkTextMapper()
diniTextMapper.SetInput("Dini")
diniTextMapper.GetTextProperty().SetJustificationToCentered()
diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
diniTextMapper.GetTextProperty().SetColor(1, 0, 0)
diniTextMapper.GetTextProperty().SetFontSize(14)
diniTextActor = vtk.vtkActor2D()
diniTextActor.SetMapper(diniTextMapper)
diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
diniTextActor.GetPositionCoordinate().SetValue(24, -6.5, 0)
# ------------------------------------------------------------
# Create Enneper's surface
# ------------------------------------------------------------
enneper = vtk.vtkParametricEnneper()
enneperSource = vtk.vtkParametricFunctionSource()
enneperSource.SetParametricFunction(enneper)
enneperSource.SetScalarModeToQuadrant()
enneperMapper = vtk.vtkPolyDataMapper()
enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
enneperMapper.SetScalarRange(1, 4)
enneperActor = vtk.vtkActor()
enneperActor.SetMapper(enneperMapper)
enneperActor.SetPosition(0, -12, 0)
enneperActor.SetScale(0.25, 0.25, 0.25)
enneperTextMapper = vtk.vtkTextMapper()
enneperTextMapper.SetInput("Enneper")
enneperTextMapper.GetTextProperty().SetJustificationToCentered()
enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
enneperTextMapper.GetTextProperty().SetColor(1, 0, 0)
def main():
    colors = vtk.vtkNamedColors()

    colors.SetColor("BkgColor", [26, 51, 102, 255])

    parametricObjects = list()
    parametricObjects.append(vtk.vtkParametricBoy())
    parametricObjects.append(vtk.vtkParametricConicSpiral())
    parametricObjects.append(vtk.vtkParametricCrossCap())
    parametricObjects.append(vtk.vtkParametricDini())

    parametricObjects.append(vtk.vtkParametricEllipsoid())
    parametricObjects[-1].SetXRadius(0.5)
    parametricObjects[-1].SetYRadius(2.0)
    parametricObjects.append(vtk.vtkParametricEnneper())
    parametricObjects.append(vtk.vtkParametricFigure8Klein())
    parametricObjects.append(vtk.vtkParametricKlein())

    parametricObjects.append(vtk.vtkParametricMobius())
    parametricObjects[-1].SetRadius(2)
    parametricObjects[-1].SetMinimumV(-0.5)
    parametricObjects[-1].SetMaximumV(0.5)
    parametricObjects.append(vtk.vtkParametricRandomHills())
    parametricObjects[-1].AllowRandomGenerationOff()
    parametricObjects.append(vtk.vtkParametricRoman())
    parametricObjects.append(vtk.vtkParametricSuperEllipsoid())
    parametricObjects[-1].SetN1(0.5)
    parametricObjects[-1].SetN2(0.1)

    parametricObjects.append(vtk.vtkParametricSuperToroid())
    parametricObjects[-1].SetN1(0.2)
    parametricObjects[-1].SetN2(3.0)
    parametricObjects.append(vtk.vtkParametricTorus())
    parametricObjects.append(vtk.vtkParametricSpline())
    # Add some points to the parametric spline.
    inputPoints = vtk.vtkPoints()
    rng = vtk.vtkMinimalStandardRandomSequence()
    rng.SetSeed(8775070)
    for i in range(0, 10):
        rng.Next()
        x = rng.GetRangeValue(0.0, 1.0)
        rng.Next()
        y = rng.GetRangeValue(0.0, 1.0)
        rng.Next()
        z = rng.GetRangeValue(0.0, 1.0)
        inputPoints.InsertNextPoint(x, y, z)
    parametricObjects[-1].SetPoints(inputPoints)

    parametricFunctionSources = list()
    renderers = list()
    mappers = list()
    actors = list()
    textmappers = list()
    textactors = list()

    # Create one text property for all
    textProperty = vtk.vtkTextProperty()
    textProperty.SetFontSize(12)
    textProperty.SetJustificationToCentered()

    backProperty = vtk.vtkProperty()
    backProperty.SetColor(colors.GetColor3d("Tomato"))

    # Create a parametric function source, renderer, mapper, and actor
    # for each object
    for i in range(0, len(parametricObjects)):
        parametricFunctionSources.append(vtk.vtkParametricFunctionSource())
        parametricFunctionSources[i].SetParametricFunction(parametricObjects[i])
        parametricFunctionSources[i].SetUResolution(51)
        parametricFunctionSources[i].SetVResolution(51)
        parametricFunctionSources[i].SetWResolution(51)
        parametricFunctionSources[i].Update()

        mappers.append(vtk.vtkPolyDataMapper())
        mappers[i].SetInputConnection(parametricFunctionSources[i].GetOutputPort())

        actors.append(vtk.vtkActor())
        actors[i].SetMapper(mappers[i])
        actors[i].GetProperty().SetColor(colors.GetColor3d("Banana"))
        actors[i].GetProperty().SetSpecular(.5)
        actors[i].GetProperty().SetSpecularPower(20)
        actors[i].SetBackfaceProperty(backProperty)

        textmappers.append(vtk.vtkTextMapper())
        textmappers[i].SetInput(parametricObjects[i].GetClassName())
        textmappers[i].SetTextProperty(textProperty)

        textactors.append(vtk.vtkActor2D())
        textactors[i].SetMapper(textmappers[i])
        textactors[i].SetPosition(100, 16)

        renderers.append(vtk.vtkRenderer())
        renderers[i].AddActor(actors[i])
        renderers[i].AddActor(textactors[i])
        renderers[i].SetBackground(colors.GetColor3d("BkgColor"))

    # Setup the viewports
    xGridDimensions = 4
    yGridDimensions = 4
    rendererSize = 200
    renderWindow = vtk.vtkRenderWindow()
    renderWindow.SetWindowName("Parametric Objects Demonstration")
    renderWindow.SetSize(rendererSize * xGridDimensions, rendererSize * yGridDimensions)
    for row in range(0, yGridDimensions):
        for col in range(0, xGridDimensions):
            index = row * xGridDimensions + col

            # (xmin, ymin, xmax, ymax)
            viewport = [float(col) / xGridDimensions,
                        float(yGridDimensions - (row + 1)) / yGridDimensions,
                        float(col + 1) / xGridDimensions,
                        float(yGridDimensions - row) / yGridDimensions]

            if index > (len(actors) - 1):
                # Add a renderer even if there is no actor.
                # This makes the render window background all the same color.
                ren = vtk.vtkRenderer()
                ren.SetBackground(colors.GetColor3d("BkgColor"))
                ren.SetViewport(viewport)
                renderWindow.AddRenderer(ren)
                continue

            renderers[index].SetViewport(viewport)
            renderers[index].ResetCamera()
            renderers[index].GetActiveCamera().Azimuth(30)
            renderers[index].GetActiveCamera().Elevation(-30)
            renderers[index].GetActiveCamera().Zoom(0.9)
            renderers[index].ResetCameraClippingRange()
            renderWindow.AddRenderer(renderers[index])

    interactor = vtk.vtkRenderWindowInteractor()
    interactor.SetRenderWindow(renderWindow)

    renderWindow.Render()
    interactor.Start()
Exemple #8
0
    def ParametricObjects(self):

        parametricObjects = list()
        parametricObjects.append(vtk.vtkParametricBoy())
        parametricObjects.append(vtk.vtkParametricConicSpiral())
        parametricObjects.append(vtk.vtkParametricCrossCap())
        parametricObjects.append(vtk.vtkParametricDini())

        parametricObjects.append(vtk.vtkParametricEllipsoid())
        parametricObjects[-1].SetXRadius(0.5)
        parametricObjects[-1].SetYRadius(2.0)
        parametricObjects.append(vtk.vtkParametricEnneper())
        parametricObjects.append(vtk.vtkParametricFigure8Klein())
        parametricObjects.append(vtk.vtkParametricKlein())

        parametricObjects.append(vtk.vtkParametricMobius())
        parametricObjects.append(vtk.vtkParametricRandomHills())
        parametricObjects[-1].AllowRandomGenerationOff()
        parametricObjects.append(vtk.vtkParametricRoman())
        parametricObjects.append(vtk.vtkParametricSuperEllipsoid())
        parametricObjects[-1].SetN1(0.5)
        parametricObjects[-1].SetN2(0.1)

        parametricObjects.append(vtk.vtkParametricSuperToroid())
        parametricObjects[-1].SetN1(0.2)
        parametricObjects[-1].SetN2(3.0)
        parametricObjects.append(vtk.vtkParametricTorus())
        parametricObjects.append(vtk.vtkParametricSpline())
        # Add some points to the parametric spline.
        # You can use vtkRandom instead of the python random methods.
        inputPoints = vtk.vtkPoints()
        random.seed(8775070)
        for i in range(10):
            x = random.uniform(0.0, 1.0)
            y = random.uniform(0.0, 1.0)
            z = random.uniform(0.0, 1.0)
            inputPoints.InsertNextPoint(x, y, z)
        parametricObjects[-1].SetPoints(inputPoints)

        # There are only 15 objects.
        #parametricObjects.append(vtk.??)

        parametricFunctionSources = list()
        renderers = list()
        mappers = list()
        actors = list()
        textmappers = list()
        textactors = list()

        # Create a common text property.
        textProperty = vtk.vtkTextProperty()
        textProperty.SetFontSize(10)
        textProperty.SetJustificationToCentered()

        # Create a parametric function source, renderer, mapper
        # and actor for each object.
        for idx, item in enumerate(parametricObjects):
            parametricFunctionSources.append(vtk.vtkParametricFunctionSource())
            parametricFunctionSources[idx].SetParametricFunction(item)
            parametricFunctionSources[idx].Update()

            mappers.append(vtk.vtkPolyDataMapper())
            mappers[idx].SetInputConnection(
                parametricFunctionSources[idx].GetOutputPort())

            actors.append(vtk.vtkActor())
            actors[idx].SetMapper(mappers[idx])

            textmappers.append(vtk.vtkTextMapper())
            textmappers[idx].SetInput(item.GetClassName())
            textmappers[idx].SetTextProperty(textProperty)

            textactors.append(vtk.vtkActor2D())
            textactors[idx].SetMapper(textmappers[idx])
            textactors[idx].SetPosition(100, 16)

            renderers.append(vtk.vtkRenderer())

        gridDimensions = 4

        for idx in range(len(parametricObjects)):
            if idx < gridDimensions * gridDimensions:
                renderers.append(vtk.vtkRenderer)

        rendererSize = 200

        # Create the RenderWindow
        #
        renderWindow = vtk.vtkRenderWindow()
        renderWindow.SetSize(rendererSize * gridDimensions,
                             rendererSize * gridDimensions)

        # Add and position the renders to the render window.
        viewport = list()
        for row in range(gridDimensions):
            for col in range(gridDimensions):
                idx = row * gridDimensions + col

                viewport[:] = []
                viewport.append(
                    float(col) * rendererSize /
                    (gridDimensions * rendererSize))
                viewport.append(
                    float(gridDimensions - (row + 1)) * rendererSize /
                    (gridDimensions * rendererSize))
                viewport.append(
                    float(col + 1) * rendererSize /
                    (gridDimensions * rendererSize))
                viewport.append(
                    float(gridDimensions - row) * rendererSize /
                    (gridDimensions * rendererSize))

                if idx > (len(parametricObjects) - 1):
                    continue

                renderers[idx].SetViewport(viewport)
                renderWindow.AddRenderer(renderers[idx])

                renderers[idx].AddActor(actors[idx])
                renderers[idx].AddActor(textactors[idx])
                renderers[idx].SetBackground(0.2, 0.3, 0.4)
                renderers[idx].ResetCamera()
                renderers[idx].GetActiveCamera().Azimuth(30)
                renderers[idx].GetActiveCamera().Elevation(-30)
                renderers[idx].ResetCameraClippingRange()

        interactor = vtk.vtkRenderWindowInteractor()
        interactor.SetRenderWindow(renderWindow)

        renderWindow.Render()

        interactor.Start()
diniActor.SetPosition(24,-3,0)
diniActor.SetScale(1.5,1.5,0.5)
diniTextMapper = vtk.vtkTextMapper()
diniTextMapper.SetInput("Dini")
diniTextMapper.GetTextProperty().SetJustificationToCentered()
diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
diniTextMapper.GetTextProperty().SetColor(1,0,0)
diniTextMapper.GetTextProperty().SetFontSize(14)
diniTextActor = vtk.vtkActor2D()
diniTextActor.SetMapper(diniTextMapper)
diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
diniTextActor.GetPositionCoordinate().SetValue(24,-6.5,0)
# ------------------------------------------------------------
# Create Enneper's surface
# ------------------------------------------------------------
enneper = vtk.vtkParametricEnneper()
enneperSource = vtk.vtkParametricFunctionSource()
enneperSource.SetParametricFunction(enneper)
enneperSource.SetScalarModeToQuadrant()
enneperMapper = vtk.vtkPolyDataMapper()
enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
enneperMapper.SetScalarRange(1,4)
enneperActor = vtk.vtkActor()
enneperActor.SetMapper(enneperMapper)
enneperActor.SetPosition(0,-12,0)
enneperActor.SetScale(0.25,0.25,0.25)
enneperTextMapper = vtk.vtkTextMapper()
enneperTextMapper.SetInput("Enneper")
enneperTextMapper.GetTextProperty().SetJustificationToCentered()
enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
enneperTextMapper.GetTextProperty().SetColor(1,0,0)
    def ParametricObjects(self):

        parametricObjects = list()
        parametricObjects.append(vtk.vtkParametricBoy())
        parametricObjects.append(vtk.vtkParametricConicSpiral())
        parametricObjects.append(vtk.vtkParametricCrossCap())
        parametricObjects.append(vtk.vtkParametricDini())

        parametricObjects.append(vtk.vtkParametricEllipsoid())
        parametricObjects[-1].SetXRadius(0.5)
        parametricObjects[-1].SetYRadius(2.0)
        parametricObjects.append(vtk.vtkParametricEnneper())
        parametricObjects.append(vtk.vtkParametricFigure8Klein())
        parametricObjects.append(vtk.vtkParametricKlein())

        parametricObjects.append(vtk.vtkParametricMobius())
        parametricObjects[-1].SetRadius(2)
        parametricObjects[-1].SetMinimumV(-0.5)
        parametricObjects[-1].SetMaximumV(0.5)
        parametricObjects.append(vtk.vtkParametricRandomHills())
        parametricObjects[-1].AllowRandomGenerationOff()
        parametricObjects.append(vtk.vtkParametricRoman())
        parametricObjects.append(vtk.vtkParametricSuperEllipsoid())
        parametricObjects[-1].SetN1(0.5)
        parametricObjects[-1].SetN2(0.1)

        parametricObjects.append(vtk.vtkParametricSuperToroid())
        parametricObjects[-1].SetN1(0.2)
        parametricObjects[-1].SetN2(3.0)
        parametricObjects.append(vtk.vtkParametricTorus())
        parametricObjects.append(vtk.vtkParametricSpline())
        # Add some points to the parametric spline.
        inputPoints = vtk.vtkPoints()
        vtk.vtkMath.RandomSeed(8775070)
        for i in range(10):
            x = vtk.vtkMath.Random(0.0,1.0)
            y = vtk.vtkMath.Random(0.0,1.0)
            z = vtk.vtkMath.Random(0.0,1.0)
            inputPoints.InsertNextPoint(x, y, z)
        parametricObjects[-1].SetPoints(inputPoints)

        # There are only 15 objects.
        parametricFunctionSources = list()
        renderers = list()
        mappers = list()
        actors = list()
        textmappers = list()
        textactors = list()

        # Create a common text property.
        textProperty = vtk.vtkTextProperty()
        textProperty.SetFontSize(10)
        textProperty.SetJustificationToCentered()

        # Create a parametric function source, renderer, mapper
        # and actor for each object.
        for idx, item in enumerate(parametricObjects):
            parametricFunctionSources.append(vtk.vtkParametricFunctionSource())
            parametricFunctionSources[idx].SetParametricFunction(item)
            parametricFunctionSources[idx].Update()

            mappers.append(vtk.vtkPolyDataMapper())
            mappers[idx].SetInputConnection(parametricFunctionSources[idx].GetOutputPort())

            actors.append(vtk.vtkActor())
            actors[idx].SetMapper(mappers[idx])

            textmappers.append(vtk.vtkTextMapper())
            textmappers[idx].SetInput(item.GetClassName())
            textmappers[idx].SetTextProperty(textProperty)

            textactors.append(vtk.vtkActor2D())
            textactors[idx].SetMapper(textmappers[idx])
            textactors[idx].SetPosition(100, 16)

            renderers.append(vtk.vtkRenderer())

        gridDimensions = 4

        for idx in range(len(parametricObjects)):
            if idx < gridDimensions * gridDimensions:
                renderers.append(vtk.vtkRenderer)

        rendererSize = 200

        # Create the RenderWindow
        #
        renderWindow = vtk.vtkRenderWindow()
        renderWindow.SetSize(rendererSize * gridDimensions, rendererSize * gridDimensions)

        # Add and position the renders to the render window.
        viewport = list()
        for row in range(gridDimensions):
            for col in range(gridDimensions):
                idx = row * gridDimensions + col

                viewport[:] = []
                viewport.append(float(col) * rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(gridDimensions - (row+1)) * rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(col+1)*rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(gridDimensions - row) * rendererSize / (gridDimensions * rendererSize))

                if idx > (len(parametricObjects) - 1):
                    continue

                renderers[idx].SetViewport(viewport)
                renderWindow.AddRenderer(renderers[idx])

                renderers[idx].AddActor(actors[idx])
                renderers[idx].AddActor(textactors[idx])
                renderers[idx].SetBackground(0.2,0.3,0.4)
                renderers[idx].ResetCamera()
                renderers[idx].GetActiveCamera().Azimuth(30)
                renderers[idx].GetActiveCamera().Elevation(-30)
                renderers[idx].GetActiveCamera().Zoom(0.9)
                renderers[idx].ResetCameraClippingRange()

        interactor = vtk.vtkRenderWindowInteractor()
        interactor.SetRenderWindow(renderWindow)

        renderWindow.Render()

        interactor.Start()
    def testParametricFunctions(self):
        # ------------------------------------------------------------
        # Get a texture
        # ------------------------------------------------------------
        textureReader = vtk.vtkJPEGReader()
        textureReader.SetFileName(VTK_DATA_ROOT + "/Data/beach.jpg")
        texture = vtk.vtkTexture()
        texture.SetInputConnection(textureReader.GetOutputPort())

        # ------------------------------------------------------------
        # For each parametric surface:
        # 1) Create it
        # 2) Assign mappers and actors
        # 3) Position this object
        # 5) Add a label
        # ------------------------------------------------------------

        # ------------------------------------------------------------
        # Create a torus
        # ------------------------------------------------------------
        torus = vtk.vtkParametricTorus()
        torusSource = vtk.vtkParametricFunctionSource()
        torusSource.SetParametricFunction(torus)
        torusSource.SetScalarModeToPhase()

        torusMapper = vtk.vtkPolyDataMapper()
        torusMapper.SetInputConnection(torusSource.GetOutputPort())
        torusMapper.SetScalarRange(0, 360)

        torusActor = vtk.vtkActor()
        torusActor.SetMapper(torusMapper)
        torusActor.SetPosition(0, 12, 0)

        torusTextMapper = vtk.vtkTextMapper()
        torusTextMapper.SetInput("Torus")
        torusTextMapper.GetTextProperty().SetJustificationToCentered()
        torusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        torusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        torusTextMapper.GetTextProperty().SetFontSize(14)
        torusTextActor = vtk.vtkActor2D()
        torusTextActor.SetMapper(torusTextMapper)
        torusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        torusTextActor.GetPositionCoordinate().SetValue(0, 9.5, 0)

        # ------------------------------------------------------------
        # Create a klein bottle
        # ------------------------------------------------------------
        klein = vtk.vtkParametricKlein()
        kleinSource = vtk.vtkParametricFunctionSource()
        kleinSource.SetParametricFunction(klein)
        kleinSource.SetScalarModeToU0V0()

        kleinMapper = vtk.vtkPolyDataMapper()
        kleinMapper.SetInputConnection(kleinSource.GetOutputPort())
        kleinMapper.SetScalarRange(0, 3)

        kleinActor = vtk.vtkActor()
        kleinActor.SetMapper(kleinMapper)
        kleinActor.SetPosition(8, 10.5, 0)

        kleinTextMapper = vtk.vtkTextMapper()
        kleinTextMapper.SetInput("Klein")
        kleinTextMapper.GetTextProperty().SetJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        kleinTextMapper.GetTextProperty().SetFontSize(14)
        kleinTextActor = vtk.vtkActor2D()
        kleinTextActor.SetMapper(kleinTextMapper)
        kleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        kleinTextActor.GetPositionCoordinate().SetValue(8, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Figure-8 Klein
        # ------------------------------------------------------------
        klein2 = vtk.vtkParametricFigure8Klein()
        klein2Source = vtk.vtkParametricFunctionSource()
        klein2Source.SetParametricFunction(klein2)
        klein2Source.GenerateTextureCoordinatesOn()

        klein2Mapper = vtk.vtkPolyDataMapper()
        klein2Mapper.SetInputConnection(klein2Source.GetOutputPort())
        klein2Mapper.SetScalarRange(0, 3)

        klein2Actor = vtk.vtkActor()
        klein2Actor.SetMapper(klein2Mapper)
        klein2Actor.SetPosition(16, 12, 0)
        klein2Actor.SetTexture(texture)


        fig8KleinTextMapper = vtk.vtkTextMapper()
        fig8KleinTextMapper.SetInput("Fig-8.Klein")
        fig8KleinTextMapper.GetTextProperty().SetJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        fig8KleinTextMapper.GetTextProperty().SetFontSize(14)
        fig8KleinTextActor = vtk.vtkActor2D()
        fig8KleinTextActor.SetMapper(fig8KleinTextMapper)
        fig8KleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        fig8KleinTextActor.GetPositionCoordinate().SetValue(16, 9.5, 0)

        # ------------------------------------------------------------
        # Create a mobius strip
        # ------------------------------------------------------------
        mobius = vtk.vtkParametricMobius()
        mobiusSource = vtk.vtkParametricFunctionSource()
        mobiusSource.SetParametricFunction(mobius)
        mobiusSource.GenerateTextureCoordinatesOn()

        mobiusMapper = vtk.vtkPolyDataMapper()
        mobiusMapper.SetInputConnection(mobiusSource.GetOutputPort())

        mobiusActor = vtk.vtkActor()
        mobiusActor.SetMapper(mobiusMapper)
        mobiusActor.RotateX(45)
        mobiusActor.SetPosition(24, 12, 0)
        mobiusActor.SetTexture(texture)

        mobiusTextMapper = vtk.vtkTextMapper()
        mobiusTextMapper.SetInput("Mobius")
        mobiusTextMapper.GetTextProperty().SetJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        mobiusTextMapper.GetTextProperty().SetFontSize(14)
        mobiusTextActor = vtk.vtkActor2D()
        mobiusTextActor.SetMapper(mobiusTextMapper)
        mobiusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        mobiusTextActor.GetPositionCoordinate().SetValue(24, 9.5, 0)

        # ------------------------------------------------------------
        # Create a super toroid
        # ------------------------------------------------------------
        toroid = vtk.vtkParametricSuperToroid()
        toroid.SetN1(2)
        toroid.SetN2(3)
        toroidSource = vtk.vtkParametricFunctionSource()
        toroidSource.SetParametricFunction(toroid)
        toroidSource.SetScalarModeToU()

        toroidMapper = vtk.vtkPolyDataMapper()
        toroidMapper.SetInputConnection(toroidSource.GetOutputPort())
        toroidMapper.SetScalarRange(0, 6.28)

        toroidActor = vtk.vtkActor()
        toroidActor.SetMapper(toroidMapper)
        toroidActor.SetPosition(0, 4, 0)

        superToroidTextMapper = vtk.vtkTextMapper()
        superToroidTextMapper.SetInput("Super.Toroid")
        superToroidTextMapper.GetTextProperty().SetJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superToroidTextMapper.GetTextProperty().SetFontSize(14)
        superToroidTextActor = vtk.vtkActor2D()
        superToroidTextActor.SetMapper(superToroidTextMapper)
        superToroidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superToroidTextActor.GetPositionCoordinate().SetValue(0, 1.5, 0)

        # ------------------------------------------------------------
        # Create a super ellipsoid
        # ------------------------------------------------------------
        superEllipsoid = vtk.vtkParametricSuperEllipsoid()
        superEllipsoid.SetXRadius(1.25)
        superEllipsoid.SetYRadius(1.5)
        superEllipsoid.SetZRadius(1.0)
        superEllipsoid.SetN1(1.1)
        superEllipsoid.SetN2(1.75)
        superEllipsoidSource = vtk.vtkParametricFunctionSource()
        superEllipsoidSource.SetParametricFunction(superEllipsoid)
        superEllipsoidSource.SetScalarModeToV()

        superEllipsoidMapper = vtk.vtkPolyDataMapper()
        superEllipsoidMapper.SetInputConnection(superEllipsoidSource.GetOutputPort())
        superEllipsoidMapper.SetScalarRange(0, 3.14)

        superEllipsoidActor = vtk.vtkActor()
        superEllipsoidActor.SetMapper(superEllipsoidMapper)
        superEllipsoidActor.SetPosition(8, 4, 0)

        superEllipsoidTextMapper = vtk.vtkTextMapper()
        superEllipsoidTextMapper.SetInput("Super.Ellipsoid")
        superEllipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superEllipsoidTextMapper.GetTextProperty().SetFontSize(14)
        superEllipsoidTextActor = vtk.vtkActor2D()
        superEllipsoidTextActor.SetMapper(superEllipsoidTextMapper)
        superEllipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superEllipsoidTextActor.GetPositionCoordinate().SetValue(8, 1.5, 0)

        # ------------------------------------------------------------
        # Create an open 1D spline
        # ------------------------------------------------------------
        math = vtk.vtkMath()
        inputPoints = vtk.vtkPoints()
        for i in range(0, 10):
            x = math.Random(-1, 1)
            y = math.Random(-1, 1)
            z = math.Random(-1, 1)
            inputPoints.InsertPoint(i,x,y,z)

        spline = vtk.vtkParametricSpline()
        spline.SetPoints(inputPoints)
        spline.ClosedOff()
        splineSource = vtk.vtkParametricFunctionSource()
        splineSource.SetParametricFunction(spline)

        splineMapper = vtk.vtkPolyDataMapper()
        splineMapper.SetInputConnection(splineSource.GetOutputPort())

        splineActor = vtk.vtkActor()
        splineActor.SetMapper(splineMapper)
        splineActor.SetPosition(16, 4, 0)
        splineActor.GetProperty().SetColor(0, 0, 0)

        splineTextMapper = vtk.vtkTextMapper()
        splineTextMapper.SetInput("Open.Spline")
        splineTextMapper.GetTextProperty().SetJustificationToCentered()
        splineTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        splineTextMapper.GetTextProperty().SetColor(1, 0, 0)
        splineTextMapper.GetTextProperty().SetFontSize(14)
        splineTextActor = vtk.vtkActor2D()
        splineTextActor.SetMapper(splineTextMapper)
        splineTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        splineTextActor.GetPositionCoordinate().SetValue(16, 1.5, 0)

        # ------------------------------------------------------------
        # Create a closed 1D spline
        # ------------------------------------------------------------
        spline2 = vtk.vtkParametricSpline()
        spline2.SetPoints(inputPoints)
        spline2.ClosedOn()
        spline2Source = vtk.vtkParametricFunctionSource()
        spline2Source.SetParametricFunction(spline2)

        spline2Mapper = vtk.vtkPolyDataMapper()
        spline2Mapper.SetInputConnection(spline2Source.GetOutputPort())

        spline2Actor = vtk.vtkActor()
        spline2Actor.SetMapper(spline2Mapper)
        spline2Actor.SetPosition(24, 4, 0)
        spline2Actor.GetProperty().SetColor(0, 0, 0)

        spline2TextMapper = vtk.vtkTextMapper()
        spline2TextMapper.SetInput("Closed.Spline")
        spline2TextMapper.GetTextProperty().SetJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetColor(1, 0, 0)
        spline2TextMapper.GetTextProperty().SetFontSize(14)
        spline2TextActor = vtk.vtkActor2D()
        spline2TextActor.SetMapper(spline2TextMapper)
        spline2TextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        spline2TextActor.GetPositionCoordinate().SetValue(24, 1.5, 0)

        # ------------------------------------------------------------
        # Create a spiral conic
        # ------------------------------------------------------------
        sconic = vtk.vtkParametricConicSpiral()
        sconic.SetA(0.8)
        sconic.SetB(2.5)
        sconic.SetC(0.4)
        sconicSource = vtk.vtkParametricFunctionSource()
        sconicSource.SetParametricFunction(sconic)
        sconicSource.SetScalarModeToDistance()

        sconicMapper = vtk.vtkPolyDataMapper()
        sconicMapper.SetInputConnection(sconicSource.GetOutputPort())
        sconicActor = vtk.vtkActor()
        sconicActor.SetMapper(sconicMapper)
        sconicMapper.SetScalarRange(0, 9)
        sconicActor.SetPosition(0, -4, 0)
        sconicActor.SetScale(1.2, 1.2, 1.2)

        sconicTextMapper = vtk.vtkTextMapper()
        sconicTextMapper.SetInput("Spiral.Conic")
        sconicTextMapper.GetTextProperty().SetJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetColor(1, 0, 0)
        sconicTextMapper.GetTextProperty().SetFontSize(14)
        sconicTextActor = vtk.vtkActor2D()
        sconicTextActor.SetMapper(sconicTextMapper)
        sconicTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        sconicTextActor.GetPositionCoordinate().SetValue(0, -6.5, 0)

        # ------------------------------------------------------------
        # Create Boy's surface
        # ------------------------------------------------------------
        boy = vtk.vtkParametricBoy()
        boySource = vtk.vtkParametricFunctionSource()
        boySource.SetParametricFunction(boy)
        boySource.SetScalarModeToModulus()

        boyMapper = vtk.vtkPolyDataMapper()
        boyMapper.SetInputConnection(boySource.GetOutputPort())
        boyMapper.SetScalarRange(0, 2)
        boyActor = vtk.vtkActor()
        boyActor.SetMapper(boyMapper)
        boyActor.SetPosition(8, -4, 0)
        boyActor.SetScale(1.5, 1.5, 1.5)

        boyTextMapper = vtk.vtkTextMapper()
        boyTextMapper.SetInput("Boy")
        boyTextMapper.GetTextProperty().SetJustificationToCentered()
        boyTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        boyTextMapper.GetTextProperty().SetColor(1, 0, 0)
        boyTextMapper.GetTextProperty().SetFontSize(14)
        boyTextActor = vtk.vtkActor2D()
        boyTextActor.SetMapper(boyTextMapper)
        boyTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        boyTextActor.GetPositionCoordinate().SetValue(8, -6.5, 0)

        # ------------------------------------------------------------
        # Create a cross cap
        # ------------------------------------------------------------
        crossCap = vtk.vtkParametricCrossCap()
        crossCapSource = vtk.vtkParametricFunctionSource()
        crossCapSource.SetParametricFunction(crossCap)
        crossCapSource.SetScalarModeToY()

        crossCapMapper = vtk.vtkPolyDataMapper()
        crossCapMapper.SetInputConnection(crossCapSource.GetOutputPort())
        crossCapActor = vtk.vtkActor()
        crossCapActor.SetMapper(crossCapMapper)
        crossCapActor.RotateX(65)
        crossCapActor.SetPosition(16, -4, 0)
        crossCapActor.SetScale(1.5, 1.5, 1.5)

        crossCapTextMapper = vtk.vtkTextMapper()
        crossCapTextMapper.SetInput("Cross.Cap")
        crossCapTextMapper.GetTextProperty().SetJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetColor(1, 0, 0)
        crossCapTextMapper.GetTextProperty().SetFontSize(14)
        crossCapTextActor = vtk.vtkActor2D()
        crossCapTextActor.SetMapper(crossCapTextMapper)
        crossCapTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        crossCapTextActor.GetPositionCoordinate().SetValue(16, -6.5, 0)

        # ------------------------------------------------------------
        # Create Dini's surface
        # ------------------------------------------------------------
        dini = vtk.vtkParametricDini()
        diniSource = vtk.vtkParametricFunctionSource()
        diniSource.SetScalarModeToDistance()
        diniSource.SetParametricFunction(dini)

        diniMapper = vtk.vtkPolyDataMapper()
        diniMapper.SetInputConnection(diniSource.GetOutputPort())

        diniActor = vtk.vtkActor()
        diniActor.SetMapper(diniMapper)
        diniActor.RotateX(-90)
        diniActor.SetPosition(24, -3, 0)
        diniActor.SetScale(1.5, 1.5, 0.5)

        diniTextMapper = vtk.vtkTextMapper()
        diniTextMapper.SetInput("Dini")
        diniTextMapper.GetTextProperty().SetJustificationToCentered()
        diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        diniTextMapper.GetTextProperty().SetColor(1, 0, 0)
        diniTextMapper.GetTextProperty().SetFontSize(14)
        diniTextActor = vtk.vtkActor2D()
        diniTextActor.SetMapper(diniTextMapper)
        diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        diniTextActor.GetPositionCoordinate().SetValue(24, -6.5, 0)

        # ------------------------------------------------------------
        # Create Enneper's surface
        # ------------------------------------------------------------
        enneper = vtk.vtkParametricEnneper()
        enneperSource = vtk.vtkParametricFunctionSource()
        enneperSource.SetParametricFunction(enneper)
        enneperSource.SetScalarModeToQuadrant()

        enneperMapper = vtk.vtkPolyDataMapper()
        enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
        enneperMapper.SetScalarRange(1, 4)

        enneperActor = vtk.vtkActor()
        enneperActor.SetMapper(enneperMapper)
        enneperActor.SetPosition(0, -12, 0)
        enneperActor.SetScale(0.25, 0.25, 0.25)

        enneperTextMapper = vtk.vtkTextMapper()
        enneperTextMapper.SetInput("Enneper")
        enneperTextMapper.GetTextProperty().SetJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetColor(1, 0, 0)
        enneperTextMapper.GetTextProperty().SetFontSize(14)
        enneperTextActor = vtk.vtkActor2D()
        enneperTextActor.SetMapper(enneperTextMapper)
        enneperTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        enneperTextActor.GetPositionCoordinate().SetValue(0, -14.5, 0)

        # ------------------------------------------------------------
        # Create an ellipsoidal surface
        # ------------------------------------------------------------
        ellipsoid = vtk.vtkParametricEllipsoid()
        ellipsoid.SetXRadius(1)
        ellipsoid.SetYRadius(0.75)
        ellipsoid.SetZRadius(0.5)
        ellipsoidSource = vtk.vtkParametricFunctionSource()
        ellipsoidSource.SetParametricFunction(ellipsoid)
        ellipsoidSource.SetScalarModeToZ()

        ellipsoidMapper = vtk.vtkPolyDataMapper()
        ellipsoidMapper.SetInputConnection(ellipsoidSource.GetOutputPort())
        ellipsoidMapper.SetScalarRange(-0.5, 0.5)

        ellipsoidActor = vtk.vtkActor()
        ellipsoidActor.SetMapper(ellipsoidMapper)
        ellipsoidActor.SetPosition(8, -12, 0)
        ellipsoidActor.SetScale(1.5, 1.5, 1.5)

        ellipsoidTextMapper = vtk.vtkTextMapper()
        ellipsoidTextMapper.SetInput("Ellipsoid")
        ellipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        ellipsoidTextMapper.GetTextProperty().SetFontSize(14)
        ellipsoidTextActor = vtk.vtkActor2D()
        ellipsoidTextActor.SetMapper(ellipsoidTextMapper)
        ellipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        ellipsoidTextActor.GetPositionCoordinate().SetValue(8, -14.5, 0)

        # ------------------------------------------------------------
        # Create an surface with random hills on it.
        # Note that for testing, we will disable the
        # random generation of the surfaces. This is
        # because random number generators do not
        # return the same result on different operating
        # systems.
        # ------------------------------------------------------------
        randomHills = vtk.vtkParametricRandomHills()
        randomHills.AllowRandomGenerationOff()
        randomHills.GenerateTheHills()
        randomHillsSource = vtk.vtkParametricFunctionSource()
        randomHillsSource.SetParametricFunction(randomHills)
        randomHillsSource.GenerateTextureCoordinatesOn()

        randomHillsMapper = vtk.vtkPolyDataMapper()
        randomHillsMapper.SetInputConnection(randomHillsSource.GetOutputPort())

        randomHillsActor = vtk.vtkActor()
        randomHillsActor.SetMapper(randomHillsMapper)
        randomHillsActor.SetPosition(16, -14, 0)
        randomHillsActor.SetScale(0.2, 0.2, 0.2)
        randomHillsActor.SetTexture(texture)

        randomHillsTextMapper = vtk.vtkTextMapper()
        randomHillsTextMapper.SetInput("Random.Hills")
        randomHillsTextMapper.GetTextProperty().SetJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetColor(1, 0, 0)
        randomHillsTextMapper.GetTextProperty().SetFontSize(14)
        randomHillsTextActor = vtk.vtkActor2D()
        randomHillsTextActor.SetMapper(randomHillsTextMapper)
        randomHillsTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        randomHillsTextActor.GetPositionCoordinate().SetValue(16, -14.5, 0)

        # ------------------------------------------------------------
        # Create an Steiner's Roman Surface.
        # ------------------------------------------------------------
        roman = vtk.vtkParametricRoman()
        roman.SetRadius(1.5)
        romanSource = vtk.vtkParametricFunctionSource()
        romanSource.SetParametricFunction(roman)
        romanSource.SetScalarModeToX()

        romanMapper = vtk.vtkPolyDataMapper()
        romanMapper.SetInputConnection(romanSource.GetOutputPort())

        romanActor = vtk.vtkActor()
        romanActor.SetMapper(romanMapper)
        romanActor.SetPosition(24, -12, 0)

        romanTextMapper = vtk.vtkTextMapper()
        romanTextMapper.SetInput("Roman")
        romanTextMapper.GetTextProperty().SetJustificationToCentered()
        romanTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        romanTextMapper.GetTextProperty().SetColor(1, 0, 0)
        romanTextMapper.GetTextProperty().SetFontSize(14)
        romanTextActor = vtk.vtkActor2D()
        romanTextActor.SetMapper(romanTextMapper)
        romanTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        romanTextActor.GetPositionCoordinate().SetValue(24, -14.5, 0)

        # ------------------------------------------------------------
        # Create the RenderWindow, Renderer and both Actors
        # ------------------------------------------------------------
        ren = vtk.vtkRenderer()
        renWin = vtk.vtkRenderWindow()
        renWin.AddRenderer(ren)
        iren = vtk.vtkRenderWindowInteractor()
        iren.SetRenderWindow(renWin)

        # add actors
        ren.AddViewProp(torusActor)
        ren.AddViewProp(kleinActor)
        ren.AddViewProp(klein2Actor)
        ren.AddViewProp(toroidActor)
        ren.AddViewProp(superEllipsoidActor)
        ren.AddViewProp(mobiusActor)
        ren.AddViewProp(splineActor)
        ren.AddViewProp(spline2Actor)
        ren.AddViewProp(sconicActor)
        ren.AddViewProp(boyActor)
        ren.AddViewProp(crossCapActor)
        ren.AddViewProp(diniActor)
        ren.AddViewProp(enneperActor)
        ren.AddViewProp(ellipsoidActor)
        ren.AddViewProp(randomHillsActor)
        ren.AddViewProp(romanActor)
        #add text actors
        ren.AddViewProp(torusTextActor)
        ren.AddViewProp(kleinTextActor)
        ren.AddViewProp(fig8KleinTextActor)
        ren.AddViewProp(mobiusTextActor)
        ren.AddViewProp(superToroidTextActor)
        ren.AddViewProp(superEllipsoidTextActor)
        ren.AddViewProp(splineTextActor)
        ren.AddViewProp(spline2TextActor)
        ren.AddViewProp(sconicTextActor)
        ren.AddViewProp(boyTextActor)
        ren.AddViewProp(crossCapTextActor)
        ren.AddViewProp(diniTextActor)
        ren.AddViewProp(enneperTextActor)
        ren.AddViewProp(ellipsoidTextActor)
        ren.AddViewProp(randomHillsTextActor)
        ren.AddViewProp(romanTextActor)

        ren.SetBackground(0.7, 0.8, 1)
        renWin.SetSize(500, 500)
        ren.ResetCamera()
        ren.GetActiveCamera().Zoom(1.3)

        iren.Initialize()
        renWin.Render()
        #iren.Start()
        img_file = "TestParametricFunctions.png"
        vtk.test.Testing.compareImage(iren.GetRenderWindow(),vtk.test.Testing.getAbsImagePath(img_file),threshold=25)
        vtk.test.Testing.interact()
def get_parametric_functions():
    """
    Create a map of the parametric functions and set some parameters.
    The first key groups the parametric functions and the
      second key is the name of the function.

    :return: The map of functions.
    """
    # We could use OrderedDict if Python version >= 3.2
    pfn = collections.defaultdict(collections.defaultdict)
    pfn[0]['Boy'] = vtk.vtkParametricBoy()
    pfn[0]['ConicSpiral'] = vtk.vtkParametricConicSpiral()
    pfn[0]['CrossCap'] = vtk.vtkParametricCrossCap()
    pfn[0]['Dini'] = vtk.vtkParametricDini()
    pfn[0]['Ellipsoid'] = vtk.vtkParametricEllipsoid()
    pfn[0]['Enneper'] = vtk.vtkParametricEnneper()
    pfn[0]['Figure8Klein'] = vtk.vtkParametricFigure8Klein()
    pfn[0]['Klein'] = vtk.vtkParametricKlein()
    pfn[0]['Mobius'] = vtk.vtkParametricMobius()
    pfn[0]['RandomHills'] = vtk.vtkParametricRandomHills()
    pfn[0]['Roman'] = vtk.vtkParametricRoman()
    pfn[0]['SuperEllipsoid'] = vtk.vtkParametricSuperEllipsoid()
    pfn[0]['SuperToroid'] = vtk.vtkParametricSuperToroid()
    pfn[0]['Torus'] = vtk.vtkParametricTorus()
    pfn[0]['Spline'] = vtk.vtkParametricSpline()
    # Extra parametric surfaces.
    pfn[1]['BohemianDome'] = vtk.vtkParametricBohemianDome()
    pfn[1]['Bour'] = vtk.vtkParametricBour()
    pfn[1]['CatalanMinimal'] = vtk.vtkParametricCatalanMinimal()
    pfn[1]['Henneberg'] = vtk.vtkParametricHenneberg()
    pfn[1]['Kuen'] = vtk.vtkParametricKuen()
    pfn[1]['PluckerConoid'] = vtk.vtkParametricPluckerConoid()
    pfn[1]['Pseudosphere'] = vtk.vtkParametricPseudosphere()
    # Now set some parameters.
    pfn[0]["Ellipsoid"].SetXRadius(0.5)
    pfn[0]["Ellipsoid"].SetYRadius(2.0)
    pfn[0]["Mobius"].SetRadius(2.0)
    pfn[0]["Mobius"].SetMinimumV(-0.5)
    pfn[0]["Mobius"].SetMaximumV(0.5)
    pfn[0]["RandomHills"].AllowRandomGenerationOn()
    pfn[0]["RandomHills"].SetRandomSeed(1)
    pfn[0]["RandomHills"].SetNumberOfHills(30)
    pfn[0]["SuperEllipsoid"].SetN1(0.5)
    pfn[0]["SuperEllipsoid"].SetN2(0.4)
    pfn[0]["SuperToroid"].SetN1(0.5)
    pfn[0]["SuperToroid"].SetN2(3.0)
    # The spline needs points
    inputPoints = vtk.vtkPoints()
    rng = vtk.vtkMinimalStandardRandomSequence()
    rng.SetSeed(8775070)
    for p in range(0, 10):
        xyz = [None] * 3
        for idx in range(0, len(xyz)):
            xyz[idx] = rng.GetRangeValue(-1.0, 1.0)
            rng.Next()
        inputPoints.InsertNextPoint(xyz)

    pfn[0]["Spline"].SetPoints(inputPoints)
    # Extra parametric surfaces.
    pfn[1]["BohemianDome"].SetA(5.0)
    pfn[1]["BohemianDome"].SetB(1.0)
    pfn[1]["BohemianDome"].SetC(2.0)
    pfn[1]["Kuen"].SetDeltaV0(0.001)

    return pfn
    def testParametricFunctions(self):
        # ------------------------------------------------------------
        # Get a texture
        # ------------------------------------------------------------
        textureReader = vtk.vtkJPEGReader()
        textureReader.SetFileName(VTK_DATA_ROOT + "/Data/beach.jpg")
        texture = vtk.vtkTexture()
        texture.SetInputConnection(textureReader.GetOutputPort())

        # ------------------------------------------------------------
        # For each parametric surface:
        # 1) Create it
        # 2) Assign mappers and actors
        # 3) Position this object
        # 5) Add a label
        # ------------------------------------------------------------

        # ------------------------------------------------------------
        # Create a torus
        # ------------------------------------------------------------
        torus = vtk.vtkParametricTorus()
        torusSource = vtk.vtkParametricFunctionSource()
        torusSource.SetParametricFunction(torus)
        torusSource.SetScalarModeToPhase()

        torusMapper = vtk.vtkPolyDataMapper()
        torusMapper.SetInputConnection(torusSource.GetOutputPort())
        torusMapper.SetScalarRange(0, 360)

        torusActor = vtk.vtkActor()
        torusActor.SetMapper(torusMapper)
        torusActor.SetPosition(0, 12, 0)

        torusTextMapper = vtk.vtkTextMapper()
        torusTextMapper.SetInput("Torus")
        torusTextMapper.GetTextProperty().SetJustificationToCentered()
        torusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        torusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        torusTextMapper.GetTextProperty().SetFontSize(14)
        torusTextActor = vtk.vtkActor2D()
        torusTextActor.SetMapper(torusTextMapper)
        torusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        torusTextActor.GetPositionCoordinate().SetValue(0, 9.5, 0)

        # ------------------------------------------------------------
        # Create a klein bottle
        # ------------------------------------------------------------
        klein = vtk.vtkParametricKlein()
        kleinSource = vtk.vtkParametricFunctionSource()
        kleinSource.SetParametricFunction(klein)
        kleinSource.SetScalarModeToU0V0()

        kleinMapper = vtk.vtkPolyDataMapper()
        kleinMapper.SetInputConnection(kleinSource.GetOutputPort())
        kleinMapper.SetScalarRange(0, 3)

        kleinActor = vtk.vtkActor()
        kleinActor.SetMapper(kleinMapper)
        kleinActor.SetPosition(8, 10.5, 0)

        kleinTextMapper = vtk.vtkTextMapper()
        kleinTextMapper.SetInput("Klein")
        kleinTextMapper.GetTextProperty().SetJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        kleinTextMapper.GetTextProperty().SetFontSize(14)
        kleinTextActor = vtk.vtkActor2D()
        kleinTextActor.SetMapper(kleinTextMapper)
        kleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        kleinTextActor.GetPositionCoordinate().SetValue(8, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Figure-8 Klein
        # ------------------------------------------------------------
        klein2 = vtk.vtkParametricFigure8Klein()
        klein2Source = vtk.vtkParametricFunctionSource()
        klein2Source.SetParametricFunction(klein2)
        klein2Source.GenerateTextureCoordinatesOn()

        klein2Mapper = vtk.vtkPolyDataMapper()
        klein2Mapper.SetInputConnection(klein2Source.GetOutputPort())
        klein2Mapper.SetScalarRange(0, 3)

        klein2Actor = vtk.vtkActor()
        klein2Actor.SetMapper(klein2Mapper)
        klein2Actor.SetPosition(16, 12, 0)
        klein2Actor.SetTexture(texture)


        fig8KleinTextMapper = vtk.vtkTextMapper()
        fig8KleinTextMapper.SetInput("Fig-8.Klein")
        fig8KleinTextMapper.GetTextProperty().SetJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        fig8KleinTextMapper.GetTextProperty().SetFontSize(14)
        fig8KleinTextActor = vtk.vtkActor2D()
        fig8KleinTextActor.SetMapper(fig8KleinTextMapper)
        fig8KleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        fig8KleinTextActor.GetPositionCoordinate().SetValue(16, 9.5, 0)

        # ------------------------------------------------------------
        # Create a mobius strip
        # ------------------------------------------------------------
        mobius = vtk.vtkParametricMobius()
        mobiusSource = vtk.vtkParametricFunctionSource()
        mobiusSource.SetParametricFunction(mobius)
        mobiusSource.GenerateTextureCoordinatesOn()

        mobiusMapper = vtk.vtkPolyDataMapper()
        mobiusMapper.SetInputConnection(mobiusSource.GetOutputPort())

        mobiusActor = vtk.vtkActor()
        mobiusActor.SetMapper(mobiusMapper)
        mobiusActor.RotateX(45)
        mobiusActor.SetPosition(24, 12, 0)
        mobiusActor.SetTexture(texture)

        mobiusTextMapper = vtk.vtkTextMapper()
        mobiusTextMapper.SetInput("Mobius")
        mobiusTextMapper.GetTextProperty().SetJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        mobiusTextMapper.GetTextProperty().SetFontSize(14)
        mobiusTextActor = vtk.vtkActor2D()
        mobiusTextActor.SetMapper(mobiusTextMapper)
        mobiusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        mobiusTextActor.GetPositionCoordinate().SetValue(24, 9.5, 0)

        # ------------------------------------------------------------
        # Create a super toroid
        # ------------------------------------------------------------
        toroid = vtk.vtkParametricSuperToroid()
        toroid.SetN1(2)
        toroid.SetN2(3)
        toroidSource = vtk.vtkParametricFunctionSource()
        toroidSource.SetParametricFunction(toroid)
        toroidSource.SetScalarModeToU()

        toroidMapper = vtk.vtkPolyDataMapper()
        toroidMapper.SetInputConnection(toroidSource.GetOutputPort())
        toroidMapper.SetScalarRange(0, 6.28)

        toroidActor = vtk.vtkActor()
        toroidActor.SetMapper(toroidMapper)
        toroidActor.SetPosition(0, 4, 0)

        superToroidTextMapper = vtk.vtkTextMapper()
        superToroidTextMapper.SetInput("Super.Toroid")
        superToroidTextMapper.GetTextProperty().SetJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superToroidTextMapper.GetTextProperty().SetFontSize(14)
        superToroidTextActor = vtk.vtkActor2D()
        superToroidTextActor.SetMapper(superToroidTextMapper)
        superToroidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superToroidTextActor.GetPositionCoordinate().SetValue(0, 1.5, 0)

        # ------------------------------------------------------------
        # Create a super ellipsoid
        # ------------------------------------------------------------
        superEllipsoid = vtk.vtkParametricSuperEllipsoid()
        superEllipsoid.SetXRadius(1.25)
        superEllipsoid.SetYRadius(1.5)
        superEllipsoid.SetZRadius(1.0)
        superEllipsoid.SetN1(1.1)
        superEllipsoid.SetN2(1.75)
        superEllipsoidSource = vtk.vtkParametricFunctionSource()
        superEllipsoidSource.SetParametricFunction(superEllipsoid)
        superEllipsoidSource.SetScalarModeToV()

        superEllipsoidMapper = vtk.vtkPolyDataMapper()
        superEllipsoidMapper.SetInputConnection(superEllipsoidSource.GetOutputPort())
        superEllipsoidMapper.SetScalarRange(0, 3.14)

        superEllipsoidActor = vtk.vtkActor()
        superEllipsoidActor.SetMapper(superEllipsoidMapper)
        superEllipsoidActor.SetPosition(8, 4, 0)

        superEllipsoidTextMapper = vtk.vtkTextMapper()
        superEllipsoidTextMapper.SetInput("Super.Ellipsoid")
        superEllipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superEllipsoidTextMapper.GetTextProperty().SetFontSize(14)
        superEllipsoidTextActor = vtk.vtkActor2D()
        superEllipsoidTextActor.SetMapper(superEllipsoidTextMapper)
        superEllipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        superEllipsoidTextActor.GetPositionCoordinate().SetValue(8, 1.5, 0)

        # ------------------------------------------------------------
        # Create an open 1D spline
        # ------------------------------------------------------------
        splinePoints = [[ -0.981576726763 , 0.639953289013 , -0.305071552892 ],
                        [ 0.6624105478 , -0.865923131754 , 0.429924616325 ],
                        [ -0.2569734311 , -0.952456491977 , 0.0637393393851 ],
                        [ -0.732922955292 , -0.236109588871 , -0.293860152035 ],
                        [ -0.907575251492 , 0.382748181644 , 0.848688894812 ],
                        [ -0.0857448890273 , 0.885650117828 , -0.878469658959 ],
                        [ -0.439558122977 , 0.346627118693 , -0.238016126323 ],
                        [ -0.337035103392 , -0.548982715024 , -0.752491410706 ],
                        [ 0.876860257181 , -0.609657562156 , -0.514647156705 ],
                        [ 0.325237251504 , 0.26248602721 , -0.397340677398 ]]
        inputPoints = vtk.vtkPoints()
        for i in range(0, 10):
            inputPoints.InsertPoint(i, splinePoints[i])

        spline = vtk.vtkParametricSpline()
        spline.SetPoints(inputPoints)
        spline.ClosedOff()
        splineSource = vtk.vtkParametricFunctionSource()
        splineSource.SetParametricFunction(spline)

        splineMapper = vtk.vtkPolyDataMapper()
        splineMapper.SetInputConnection(splineSource.GetOutputPort())

        splineActor = vtk.vtkActor()
        splineActor.SetMapper(splineMapper)
        splineActor.SetPosition(16, 4, 0)
        splineActor.GetProperty().SetColor(0, 0, 0)

        splineTextMapper = vtk.vtkTextMapper()
        splineTextMapper.SetInput("Open.Spline")
        splineTextMapper.GetTextProperty().SetJustificationToCentered()
        splineTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        splineTextMapper.GetTextProperty().SetColor(1, 0, 0)
        splineTextMapper.GetTextProperty().SetFontSize(14)
        splineTextActor = vtk.vtkActor2D()
        splineTextActor.SetMapper(splineTextMapper)
        splineTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        splineTextActor.GetPositionCoordinate().SetValue(16, 1.5, 0)

        # ------------------------------------------------------------
        # Create a closed 1D spline
        # ------------------------------------------------------------
        spline2 = vtk.vtkParametricSpline()
        spline2.SetPoints(inputPoints)
        spline2.ClosedOn()
        spline2Source = vtk.vtkParametricFunctionSource()
        spline2Source.SetParametricFunction(spline2)

        spline2Mapper = vtk.vtkPolyDataMapper()
        spline2Mapper.SetInputConnection(spline2Source.GetOutputPort())

        spline2Actor = vtk.vtkActor()
        spline2Actor.SetMapper(spline2Mapper)
        spline2Actor.SetPosition(24, 4, 0)
        spline2Actor.GetProperty().SetColor(0, 0, 0)

        spline2TextMapper = vtk.vtkTextMapper()
        spline2TextMapper.SetInput("Closed.Spline")
        spline2TextMapper.GetTextProperty().SetJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetColor(1, 0, 0)
        spline2TextMapper.GetTextProperty().SetFontSize(14)
        spline2TextActor = vtk.vtkActor2D()
        spline2TextActor.SetMapper(spline2TextMapper)
        spline2TextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        spline2TextActor.GetPositionCoordinate().SetValue(24, 1.5, 0)

        # ------------------------------------------------------------
        # Create a spiral conic
        # ------------------------------------------------------------
        sconic = vtk.vtkParametricConicSpiral()
        sconic.SetA(0.8)
        sconic.SetB(2.5)
        sconic.SetC(0.4)
        sconicSource = vtk.vtkParametricFunctionSource()
        sconicSource.SetParametricFunction(sconic)
        sconicSource.SetScalarModeToDistance()

        sconicMapper = vtk.vtkPolyDataMapper()
        sconicMapper.SetInputConnection(sconicSource.GetOutputPort())
        sconicActor = vtk.vtkActor()
        sconicActor.SetMapper(sconicMapper)
        sconicMapper.SetScalarRange(0, 9)
        sconicActor.SetPosition(0, -4, 0)
        sconicActor.SetScale(1.2, 1.2, 1.2)

        sconicTextMapper = vtk.vtkTextMapper()
        sconicTextMapper.SetInput("Spiral.Conic")
        sconicTextMapper.GetTextProperty().SetJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetColor(1, 0, 0)
        sconicTextMapper.GetTextProperty().SetFontSize(14)
        sconicTextActor = vtk.vtkActor2D()
        sconicTextActor.SetMapper(sconicTextMapper)
        sconicTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        sconicTextActor.GetPositionCoordinate().SetValue(0, -6.5, 0)

        # ------------------------------------------------------------
        # Create Boy's surface
        # ------------------------------------------------------------
        boy = vtk.vtkParametricBoy()
        boySource = vtk.vtkParametricFunctionSource()
        boySource.SetParametricFunction(boy)
        boySource.SetScalarModeToModulus()

        boyMapper = vtk.vtkPolyDataMapper()
        boyMapper.SetInputConnection(boySource.GetOutputPort())
        boyMapper.SetScalarRange(0, 2)
        boyActor = vtk.vtkActor()
        boyActor.SetMapper(boyMapper)
        boyActor.SetPosition(8, -4, 0)
        boyActor.SetScale(1.5, 1.5, 1.5)

        boyTextMapper = vtk.vtkTextMapper()
        boyTextMapper.SetInput("Boy")
        boyTextMapper.GetTextProperty().SetJustificationToCentered()
        boyTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        boyTextMapper.GetTextProperty().SetColor(1, 0, 0)
        boyTextMapper.GetTextProperty().SetFontSize(14)
        boyTextActor = vtk.vtkActor2D()
        boyTextActor.SetMapper(boyTextMapper)
        boyTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        boyTextActor.GetPositionCoordinate().SetValue(8, -6.5, 0)

        # ------------------------------------------------------------
        # Create a cross cap
        # ------------------------------------------------------------
        crossCap = vtk.vtkParametricCrossCap()
        crossCapSource = vtk.vtkParametricFunctionSource()
        crossCapSource.SetParametricFunction(crossCap)
        crossCapSource.SetScalarModeToY()

        crossCapMapper = vtk.vtkPolyDataMapper()
        crossCapMapper.SetInputConnection(crossCapSource.GetOutputPort())
        crossCapActor = vtk.vtkActor()
        crossCapActor.SetMapper(crossCapMapper)
        crossCapActor.RotateX(65)
        crossCapActor.SetPosition(16, -4, 0)
        crossCapActor.SetScale(1.5, 1.5, 1.5)

        crossCapTextMapper = vtk.vtkTextMapper()
        crossCapTextMapper.SetInput("Cross.Cap")
        crossCapTextMapper.GetTextProperty().SetJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetColor(1, 0, 0)
        crossCapTextMapper.GetTextProperty().SetFontSize(14)
        crossCapTextActor = vtk.vtkActor2D()
        crossCapTextActor.SetMapper(crossCapTextMapper)
        crossCapTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        crossCapTextActor.GetPositionCoordinate().SetValue(16, -6.5, 0)

        # ------------------------------------------------------------
        # Create Dini's surface
        # ------------------------------------------------------------
        dini = vtk.vtkParametricDini()
        diniSource = vtk.vtkParametricFunctionSource()
        diniSource.SetScalarModeToDistance()
        diniSource.SetParametricFunction(dini)

        diniMapper = vtk.vtkPolyDataMapper()
        diniMapper.SetInputConnection(diniSource.GetOutputPort())

        diniActor = vtk.vtkActor()
        diniActor.SetMapper(diniMapper)
        diniActor.RotateX(-90)
        diniActor.SetPosition(24, -3, 0)
        diniActor.SetScale(1.5, 1.5, 0.5)

        diniTextMapper = vtk.vtkTextMapper()
        diniTextMapper.SetInput("Dini")
        diniTextMapper.GetTextProperty().SetJustificationToCentered()
        diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        diniTextMapper.GetTextProperty().SetColor(1, 0, 0)
        diniTextMapper.GetTextProperty().SetFontSize(14)
        diniTextActor = vtk.vtkActor2D()
        diniTextActor.SetMapper(diniTextMapper)
        diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        diniTextActor.GetPositionCoordinate().SetValue(24, -6.5, 0)

        # ------------------------------------------------------------
        # Create Enneper's surface
        # ------------------------------------------------------------
        enneper = vtk.vtkParametricEnneper()
        enneperSource = vtk.vtkParametricFunctionSource()
        enneperSource.SetParametricFunction(enneper)
        enneperSource.SetScalarModeToQuadrant()

        enneperMapper = vtk.vtkPolyDataMapper()
        enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
        enneperMapper.SetScalarRange(1, 4)

        enneperActor = vtk.vtkActor()
        enneperActor.SetMapper(enneperMapper)
        enneperActor.SetPosition(0, -12, 0)
        enneperActor.SetScale(0.25, 0.25, 0.25)

        enneperTextMapper = vtk.vtkTextMapper()
        enneperTextMapper.SetInput("Enneper")
        enneperTextMapper.GetTextProperty().SetJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetColor(1, 0, 0)
        enneperTextMapper.GetTextProperty().SetFontSize(14)
        enneperTextActor = vtk.vtkActor2D()
        enneperTextActor.SetMapper(enneperTextMapper)
        enneperTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        enneperTextActor.GetPositionCoordinate().SetValue(0, -14.5, 0)

        # ------------------------------------------------------------
        # Create an ellipsoidal surface
        # ------------------------------------------------------------
        ellipsoid = vtk.vtkParametricEllipsoid()
        ellipsoid.SetXRadius(1)
        ellipsoid.SetYRadius(0.75)
        ellipsoid.SetZRadius(0.5)
        ellipsoidSource = vtk.vtkParametricFunctionSource()
        ellipsoidSource.SetParametricFunction(ellipsoid)
        ellipsoidSource.SetScalarModeToZ()

        ellipsoidMapper = vtk.vtkPolyDataMapper()
        ellipsoidMapper.SetInputConnection(ellipsoidSource.GetOutputPort())
        ellipsoidMapper.SetScalarRange(-0.5, 0.5)

        ellipsoidActor = vtk.vtkActor()
        ellipsoidActor.SetMapper(ellipsoidMapper)
        ellipsoidActor.SetPosition(8, -12, 0)
        ellipsoidActor.SetScale(1.5, 1.5, 1.5)

        ellipsoidTextMapper = vtk.vtkTextMapper()
        ellipsoidTextMapper.SetInput("Ellipsoid")
        ellipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        ellipsoidTextMapper.GetTextProperty().SetFontSize(14)
        ellipsoidTextActor = vtk.vtkActor2D()
        ellipsoidTextActor.SetMapper(ellipsoidTextMapper)
        ellipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        ellipsoidTextActor.GetPositionCoordinate().SetValue(8, -14.5, 0)

        # ------------------------------------------------------------
        # Create an surface with random hills on it.
        # Note that for testing, we will disable the
        # random generation of the surfaces. This is
        # because random number generators do not
        # return the same result on different operating
        # systems.
        # ------------------------------------------------------------
        randomHills = vtk.vtkParametricRandomHills()
        randomHills.AllowRandomGenerationOff()
        randomHills.GenerateTheHills()
        randomHillsSource = vtk.vtkParametricFunctionSource()
        randomHillsSource.SetParametricFunction(randomHills)
        randomHillsSource.GenerateTextureCoordinatesOn()

        randomHillsMapper = vtk.vtkPolyDataMapper()
        randomHillsMapper.SetInputConnection(randomHillsSource.GetOutputPort())

        randomHillsActor = vtk.vtkActor()
        randomHillsActor.SetMapper(randomHillsMapper)
        randomHillsActor.SetPosition(16, -14, 0)
        randomHillsActor.SetScale(0.2, 0.2, 0.2)
        randomHillsActor.SetTexture(texture)

        randomHillsTextMapper = vtk.vtkTextMapper()
        randomHillsTextMapper.SetInput("Random.Hills")
        randomHillsTextMapper.GetTextProperty().SetJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetColor(1, 0, 0)
        randomHillsTextMapper.GetTextProperty().SetFontSize(14)
        randomHillsTextActor = vtk.vtkActor2D()
        randomHillsTextActor.SetMapper(randomHillsTextMapper)
        randomHillsTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        randomHillsTextActor.GetPositionCoordinate().SetValue(16, -14.5, 0)

        # ------------------------------------------------------------
        # Create an Steiner's Roman Surface.
        # ------------------------------------------------------------
        roman = vtk.vtkParametricRoman()
        roman.SetRadius(1.5)
        romanSource = vtk.vtkParametricFunctionSource()
        romanSource.SetParametricFunction(roman)
        romanSource.SetScalarModeToX()

        romanMapper = vtk.vtkPolyDataMapper()
        romanMapper.SetInputConnection(romanSource.GetOutputPort())

        romanActor = vtk.vtkActor()
        romanActor.SetMapper(romanMapper)
        romanActor.SetPosition(24, -12, 0)

        romanTextMapper = vtk.vtkTextMapper()
        romanTextMapper.SetInput("Roman")
        romanTextMapper.GetTextProperty().SetJustificationToCentered()
        romanTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        romanTextMapper.GetTextProperty().SetColor(1, 0, 0)
        romanTextMapper.GetTextProperty().SetFontSize(14)
        romanTextActor = vtk.vtkActor2D()
        romanTextActor.SetMapper(romanTextMapper)
        romanTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        romanTextActor.GetPositionCoordinate().SetValue(24, -14.5, 0)

        # ------------------------------------------------------------
        # Create the RenderWindow, Renderer and both Actors
        # ------------------------------------------------------------
        ren = vtk.vtkRenderer()
        renWin = vtk.vtkRenderWindow()
        renWin.AddRenderer(ren)
        iren = vtk.vtkRenderWindowInteractor()
        iren.SetRenderWindow(renWin)

        # add actors
        ren.AddViewProp(torusActor)
        ren.AddViewProp(kleinActor)
        ren.AddViewProp(klein2Actor)
        ren.AddViewProp(toroidActor)
        ren.AddViewProp(superEllipsoidActor)
        ren.AddViewProp(mobiusActor)
        ren.AddViewProp(splineActor)
        ren.AddViewProp(spline2Actor)
        ren.AddViewProp(sconicActor)
        ren.AddViewProp(boyActor)
        ren.AddViewProp(crossCapActor)
        ren.AddViewProp(diniActor)
        ren.AddViewProp(enneperActor)
        ren.AddViewProp(ellipsoidActor)
        ren.AddViewProp(randomHillsActor)
        ren.AddViewProp(romanActor)
        #add text actors
        ren.AddViewProp(torusTextActor)
        ren.AddViewProp(kleinTextActor)
        ren.AddViewProp(fig8KleinTextActor)
        ren.AddViewProp(mobiusTextActor)
        ren.AddViewProp(superToroidTextActor)
        ren.AddViewProp(superEllipsoidTextActor)
        ren.AddViewProp(splineTextActor)
        ren.AddViewProp(spline2TextActor)
        ren.AddViewProp(sconicTextActor)
        ren.AddViewProp(boyTextActor)
        ren.AddViewProp(crossCapTextActor)
        ren.AddViewProp(diniTextActor)
        ren.AddViewProp(enneperTextActor)
        ren.AddViewProp(ellipsoidTextActor)
        ren.AddViewProp(randomHillsTextActor)
        ren.AddViewProp(romanTextActor)

        ren.SetBackground(0.7, 0.8, 1)
        renWin.SetSize(500, 500)
        ren.ResetCamera()
        ren.GetActiveCamera().Zoom(1.3)

        iren.Initialize()
        renWin.Render()

        img_file = "TestParametricFunctions.png"
        vtk.test.Testing.compareImage(iren.GetRenderWindow(), vtk.test.Testing.getAbsImagePath(img_file), threshold=35)
        vtk.test.Testing.interact()
    def __init__(self, parent = None):
        super(VTKFrame, self).__init__(parent)

        self.vtkWidget = QVTKRenderWindowInteractor(self)
        self.iren = self.vtkWidget.GetRenderWindow().GetInteractor()
        vl = QtGui.QVBoxLayout(self)
        vl.addWidget(self.vtkWidget)
        vl.setContentsMargins(0, 0, 0, 0)
 
        # Create source
        parametricObjects = list()
        parametricObjects.append(vtk.vtkParametricBoy())
        parametricObjects.append(vtk.vtkParametricConicSpiral())
        parametricObjects.append(vtk.vtkParametricCrossCap())
        parametricObjects.append(vtk.vtkParametricDini())
 
        parametricObjects.append(vtk.vtkParametricEllipsoid())
        parametricObjects[-1].SetXRadius(0.5)
        parametricObjects[-1].SetYRadius(2.0)
        parametricObjects.append(vtk.vtkParametricEnneper())
        parametricObjects.append(vtk.vtkParametricFigure8Klein())
        parametricObjects.append(vtk.vtkParametricKlein())
 
        parametricObjects.append(vtk.vtkParametricMobius())
        parametricObjects[-1].SetRadius(2)
        parametricObjects[-1].SetMinimumV(-0.5)
        parametricObjects[-1].SetMaximumV(0.5)
        parametricObjects.append(vtk.vtkParametricRandomHills())
        parametricObjects[-1].AllowRandomGenerationOff()
        parametricObjects.append(vtk.vtkParametricRoman())
        parametricObjects.append(vtk.vtkParametricSuperEllipsoid())
        parametricObjects[-1].SetN1(0.5)
        parametricObjects[-1].SetN2(0.1)
 
        parametricObjects.append(vtk.vtkParametricSuperToroid())
        parametricObjects[-1].SetN1(0.2)
        parametricObjects[-1].SetN2(3.0)
        parametricObjects.append(vtk.vtkParametricTorus())
        parametricObjects.append(vtk.vtkParametricSpline())

        # Add some points to the parametric spline.
        inputPoints = vtk.vtkPoints()
        vtk.vtkMath.RandomSeed(8775070)
        for i in range(10):
            x = vtk.vtkMath.Random(0.0,1.0)
            y = vtk.vtkMath.Random(0.0,1.0)
            z = vtk.vtkMath.Random(0.0,1.0)
            inputPoints.InsertNextPoint(x, y, z)
        parametricObjects[-1].SetPoints(inputPoints)
 
        # There are only 15 objects.
        parametricFunctionSources = list()
        renderers = list()
        mappers = list()
        actors = list()
        textmappers = list()
        textactors = list()
 
        # Create a common text property.
        textProperty = vtk.vtkTextProperty()
        textProperty.SetFontSize(10)
        textProperty.SetJustificationToCentered()
 
        # Create a parametric function source, renderer, mapper
        # and actor for each object.
        for idx, item in enumerate(parametricObjects):
            parametricFunctionSources.append(vtk.vtkParametricFunctionSource())
            parametricFunctionSources[idx].SetParametricFunction(item)
            parametricFunctionSources[idx].Update()
 
            mappers.append(vtk.vtkPolyDataMapper())
            mappers[idx].SetInputConnection(parametricFunctionSources[idx].GetOutputPort())
 
            actors.append(vtk.vtkActor())
            actors[idx].SetMapper(mappers[idx])
 
            textmappers.append(vtk.vtkTextMapper())
            textmappers[idx].SetInput(item.GetClassName())
            textmappers[idx].SetTextProperty(textProperty)
 
            textactors.append(vtk.vtkActor2D())
            textactors[idx].SetMapper(textmappers[idx])
            textactors[idx].SetPosition(100, 16)
 
            renderers.append(vtk.vtkRenderer())
 
        gridDimensions = 4
 
        for idx in range(len(parametricObjects)):
            if idx < gridDimensions * gridDimensions:
                renderers.append(vtk.vtkRenderer)
 
        rendererSize = 200
 
        # setup the RenderWindow
        self.vtkWidget.GetRenderWindow().SetSize(rendererSize * gridDimensions, rendererSize * gridDimensions)
 
        # Add and position the renders to the render window.
        viewport = list()
        for row in range(gridDimensions):
            for col in range(gridDimensions):
                idx = row * gridDimensions + col
 
                viewport[:] = []
                viewport.append(float(col) * rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(gridDimensions - (row+1)) * rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(col+1)*rendererSize / (gridDimensions * rendererSize))
                viewport.append(float(gridDimensions - row) * rendererSize / (gridDimensions * rendererSize))
 
                if idx > (len(parametricObjects) - 1):
                    continue
 
                renderers[idx].SetViewport(viewport)
                self.vtkWidget.GetRenderWindow().AddRenderer(renderers[idx])
 
                renderers[idx].AddActor(actors[idx])
                renderers[idx].AddActor(textactors[idx])
                renderers[idx].SetBackground(0.2,0.3,0.4)
                renderers[idx].ResetCamera()
                renderers[idx].GetActiveCamera().Azimuth(30)
                renderers[idx].GetActiveCamera().Elevation(-30)
                renderers[idx].GetActiveCamera().Zoom(0.9)
                renderers[idx].ResetCameraClippingRange()
        
        self._initialized = False
    def testParametricFunctions(self):
        # ------------------------------------------------------------
        # Get a texture
        # ------------------------------------------------------------
        textureReader = vtk.vtkJPEGReader()
        textureReader.SetFileName(VTK_DATA_ROOT + "/Data/beach.jpg")
        texture = vtk.vtkTexture()
        texture.SetInputConnection(textureReader.GetOutputPort())

        # ------------------------------------------------------------
        # For each parametric surface:
        # 1) Create it
        # 2) Assign mappers and actors
        # 3) Position this object
        # 5) Add a label
        # ------------------------------------------------------------

        # ------------------------------------------------------------
        # Create a torus
        # ------------------------------------------------------------
        torus = vtk.vtkParametricTorus()
        torusSource = vtk.vtkParametricFunctionSource()
        torusSource.SetParametricFunction(torus)
        torusSource.SetScalarModeToPhase()

        torusMapper = vtk.vtkPolyDataMapper()
        torusMapper.SetInputConnection(torusSource.GetOutputPort())
        torusMapper.SetScalarRange(0, 360)

        torusActor = vtk.vtkActor()
        torusActor.SetMapper(torusMapper)
        torusActor.SetPosition(0, 12, 0)

        torusTextMapper = vtk.vtkTextMapper()
        torusTextMapper.SetInput("Torus")
        torusTextMapper.GetTextProperty().SetJustificationToCentered()
        torusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        torusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        torusTextMapper.GetTextProperty().SetFontSize(14)
        torusTextActor = vtk.vtkActor2D()
        torusTextActor.SetMapper(torusTextMapper)
        torusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        torusTextActor.GetPositionCoordinate().SetValue(0, 9.5, 0)

        # ------------------------------------------------------------
        # Create a klein bottle
        # ------------------------------------------------------------
        klein = vtk.vtkParametricKlein()
        kleinSource = vtk.vtkParametricFunctionSource()
        kleinSource.SetParametricFunction(klein)
        kleinSource.SetScalarModeToU0V0()

        kleinMapper = vtk.vtkPolyDataMapper()
        kleinMapper.SetInputConnection(kleinSource.GetOutputPort())
        kleinMapper.SetScalarRange(0, 3)

        kleinActor = vtk.vtkActor()
        kleinActor.SetMapper(kleinMapper)
        kleinActor.SetPosition(8, 10.5, 0)

        kleinTextMapper = vtk.vtkTextMapper()
        kleinTextMapper.SetInput("Klein")
        kleinTextMapper.GetTextProperty().SetJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        kleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        kleinTextMapper.GetTextProperty().SetFontSize(14)
        kleinTextActor = vtk.vtkActor2D()
        kleinTextActor.SetMapper(kleinTextMapper)
        kleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        kleinTextActor.GetPositionCoordinate().SetValue(8, 9.5, 0)

        # ------------------------------------------------------------
        # Create a Figure-8 Klein
        # ------------------------------------------------------------
        klein2 = vtk.vtkParametricFigure8Klein()
        klein2Source = vtk.vtkParametricFunctionSource()
        klein2Source.SetParametricFunction(klein2)
        klein2Source.GenerateTextureCoordinatesOn()

        klein2Mapper = vtk.vtkPolyDataMapper()
        klein2Mapper.SetInputConnection(klein2Source.GetOutputPort())
        klein2Mapper.SetScalarRange(0, 3)

        klein2Actor = vtk.vtkActor()
        klein2Actor.SetMapper(klein2Mapper)
        klein2Actor.SetPosition(16, 12, 0)
        klein2Actor.SetTexture(texture)

        fig8KleinTextMapper = vtk.vtkTextMapper()
        fig8KleinTextMapper.SetInput("Fig-8.Klein")
        fig8KleinTextMapper.GetTextProperty().SetJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        fig8KleinTextMapper.GetTextProperty().SetColor(1, 0, 0)
        fig8KleinTextMapper.GetTextProperty().SetFontSize(14)
        fig8KleinTextActor = vtk.vtkActor2D()
        fig8KleinTextActor.SetMapper(fig8KleinTextMapper)
        fig8KleinTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        fig8KleinTextActor.GetPositionCoordinate().SetValue(16, 9.5, 0)

        # ------------------------------------------------------------
        # Create a mobius strip
        # ------------------------------------------------------------
        mobius = vtk.vtkParametricMobius()
        mobiusSource = vtk.vtkParametricFunctionSource()
        mobiusSource.SetParametricFunction(mobius)
        mobiusSource.GenerateTextureCoordinatesOn()

        mobiusMapper = vtk.vtkPolyDataMapper()
        mobiusMapper.SetInputConnection(mobiusSource.GetOutputPort())

        mobiusActor = vtk.vtkActor()
        mobiusActor.SetMapper(mobiusMapper)
        mobiusActor.RotateX(45)
        mobiusActor.SetPosition(24, 12, 0)
        mobiusActor.SetTexture(texture)

        mobiusTextMapper = vtk.vtkTextMapper()
        mobiusTextMapper.SetInput("Mobius")
        mobiusTextMapper.GetTextProperty().SetJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        mobiusTextMapper.GetTextProperty().SetColor(1, 0, 0)
        mobiusTextMapper.GetTextProperty().SetFontSize(14)
        mobiusTextActor = vtk.vtkActor2D()
        mobiusTextActor.SetMapper(mobiusTextMapper)
        mobiusTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        mobiusTextActor.GetPositionCoordinate().SetValue(24, 9.5, 0)

        # ------------------------------------------------------------
        # Create a super toroid
        # ------------------------------------------------------------
        toroid = vtk.vtkParametricSuperToroid()
        toroid.SetN1(2)
        toroid.SetN2(3)
        toroidSource = vtk.vtkParametricFunctionSource()
        toroidSource.SetParametricFunction(toroid)
        toroidSource.SetScalarModeToU()

        toroidMapper = vtk.vtkPolyDataMapper()
        toroidMapper.SetInputConnection(toroidSource.GetOutputPort())
        toroidMapper.SetScalarRange(0, 6.28)

        toroidActor = vtk.vtkActor()
        toroidActor.SetMapper(toroidMapper)
        toroidActor.SetPosition(0, 4, 0)

        superToroidTextMapper = vtk.vtkTextMapper()
        superToroidTextMapper.SetInput("Super.Toroid")
        superToroidTextMapper.GetTextProperty().SetJustificationToCentered()
        superToroidTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        superToroidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superToroidTextMapper.GetTextProperty().SetFontSize(14)
        superToroidTextActor = vtk.vtkActor2D()
        superToroidTextActor.SetMapper(superToroidTextMapper)
        superToroidTextActor.GetPositionCoordinate(
        ).SetCoordinateSystemToWorld()
        superToroidTextActor.GetPositionCoordinate().SetValue(0, 1.5, 0)

        # ------------------------------------------------------------
        # Create a super ellipsoid
        # ------------------------------------------------------------
        superEllipsoid = vtk.vtkParametricSuperEllipsoid()
        superEllipsoid.SetXRadius(1.25)
        superEllipsoid.SetYRadius(1.5)
        superEllipsoid.SetZRadius(1.0)
        superEllipsoid.SetN1(1.1)
        superEllipsoid.SetN2(1.75)
        superEllipsoidSource = vtk.vtkParametricFunctionSource()
        superEllipsoidSource.SetParametricFunction(superEllipsoid)
        superEllipsoidSource.SetScalarModeToV()

        superEllipsoidMapper = vtk.vtkPolyDataMapper()
        superEllipsoidMapper.SetInputConnection(
            superEllipsoidSource.GetOutputPort())
        superEllipsoidMapper.SetScalarRange(0, 3.14)

        superEllipsoidActor = vtk.vtkActor()
        superEllipsoidActor.SetMapper(superEllipsoidMapper)
        superEllipsoidActor.SetPosition(8, 4, 0)

        superEllipsoidTextMapper = vtk.vtkTextMapper()
        superEllipsoidTextMapper.SetInput("Super.Ellipsoid")
        superEllipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        superEllipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        superEllipsoidTextMapper.GetTextProperty().SetFontSize(14)
        superEllipsoidTextActor = vtk.vtkActor2D()
        superEllipsoidTextActor.SetMapper(superEllipsoidTextMapper)
        superEllipsoidTextActor.GetPositionCoordinate(
        ).SetCoordinateSystemToWorld()
        superEllipsoidTextActor.GetPositionCoordinate().SetValue(8, 1.5, 0)

        # ------------------------------------------------------------
        # Create an open 1D spline
        # ------------------------------------------------------------
        math = vtk.vtkMath()
        inputPoints = vtk.vtkPoints()
        for i in range(0, 10):
            x = math.Random(-1, 1)
            y = math.Random(-1, 1)
            z = math.Random(-1, 1)
            inputPoints.InsertPoint(i, x, y, z)

        spline = vtk.vtkParametricSpline()
        spline.SetPoints(inputPoints)
        spline.ClosedOff()
        splineSource = vtk.vtkParametricFunctionSource()
        splineSource.SetParametricFunction(spline)

        splineMapper = vtk.vtkPolyDataMapper()
        splineMapper.SetInputConnection(splineSource.GetOutputPort())

        splineActor = vtk.vtkActor()
        splineActor.SetMapper(splineMapper)
        splineActor.SetPosition(16, 4, 0)
        splineActor.GetProperty().SetColor(0, 0, 0)

        splineTextMapper = vtk.vtkTextMapper()
        splineTextMapper.SetInput("Open.Spline")
        splineTextMapper.GetTextProperty().SetJustificationToCentered()
        splineTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        splineTextMapper.GetTextProperty().SetColor(1, 0, 0)
        splineTextMapper.GetTextProperty().SetFontSize(14)
        splineTextActor = vtk.vtkActor2D()
        splineTextActor.SetMapper(splineTextMapper)
        splineTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        splineTextActor.GetPositionCoordinate().SetValue(16, 1.5, 0)

        # ------------------------------------------------------------
        # Create a closed 1D spline
        # ------------------------------------------------------------
        spline2 = vtk.vtkParametricSpline()
        spline2.SetPoints(inputPoints)
        spline2.ClosedOn()
        spline2Source = vtk.vtkParametricFunctionSource()
        spline2Source.SetParametricFunction(spline2)

        spline2Mapper = vtk.vtkPolyDataMapper()
        spline2Mapper.SetInputConnection(spline2Source.GetOutputPort())

        spline2Actor = vtk.vtkActor()
        spline2Actor.SetMapper(spline2Mapper)
        spline2Actor.SetPosition(24, 4, 0)
        spline2Actor.GetProperty().SetColor(0, 0, 0)

        spline2TextMapper = vtk.vtkTextMapper()
        spline2TextMapper.SetInput("Closed.Spline")
        spline2TextMapper.GetTextProperty().SetJustificationToCentered()
        spline2TextMapper.GetTextProperty().SetVerticalJustificationToCentered(
        )
        spline2TextMapper.GetTextProperty().SetColor(1, 0, 0)
        spline2TextMapper.GetTextProperty().SetFontSize(14)
        spline2TextActor = vtk.vtkActor2D()
        spline2TextActor.SetMapper(spline2TextMapper)
        spline2TextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        spline2TextActor.GetPositionCoordinate().SetValue(24, 1.5, 0)

        # ------------------------------------------------------------
        # Create a spiral conic
        # ------------------------------------------------------------
        sconic = vtk.vtkParametricConicSpiral()
        sconic.SetA(0.8)
        sconic.SetB(2.5)
        sconic.SetC(0.4)
        sconicSource = vtk.vtkParametricFunctionSource()
        sconicSource.SetParametricFunction(sconic)
        sconicSource.SetScalarModeToDistance()

        sconicMapper = vtk.vtkPolyDataMapper()
        sconicMapper.SetInputConnection(sconicSource.GetOutputPort())
        sconicActor = vtk.vtkActor()
        sconicActor.SetMapper(sconicMapper)
        sconicMapper.SetScalarRange(0, 9)
        sconicActor.SetPosition(0, -4, 0)
        sconicActor.SetScale(1.2, 1.2, 1.2)

        sconicTextMapper = vtk.vtkTextMapper()
        sconicTextMapper.SetInput("Spiral.Conic")
        sconicTextMapper.GetTextProperty().SetJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        sconicTextMapper.GetTextProperty().SetColor(1, 0, 0)
        sconicTextMapper.GetTextProperty().SetFontSize(14)
        sconicTextActor = vtk.vtkActor2D()
        sconicTextActor.SetMapper(sconicTextMapper)
        sconicTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        sconicTextActor.GetPositionCoordinate().SetValue(0, -6.5, 0)

        # ------------------------------------------------------------
        # Create Boy's surface
        # ------------------------------------------------------------
        boy = vtk.vtkParametricBoy()
        boySource = vtk.vtkParametricFunctionSource()
        boySource.SetParametricFunction(boy)
        boySource.SetScalarModeToModulus()

        boyMapper = vtk.vtkPolyDataMapper()
        boyMapper.SetInputConnection(boySource.GetOutputPort())
        boyMapper.SetScalarRange(0, 2)
        boyActor = vtk.vtkActor()
        boyActor.SetMapper(boyMapper)
        boyActor.SetPosition(8, -4, 0)
        boyActor.SetScale(1.5, 1.5, 1.5)

        boyTextMapper = vtk.vtkTextMapper()
        boyTextMapper.SetInput("Boy")
        boyTextMapper.GetTextProperty().SetJustificationToCentered()
        boyTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        boyTextMapper.GetTextProperty().SetColor(1, 0, 0)
        boyTextMapper.GetTextProperty().SetFontSize(14)
        boyTextActor = vtk.vtkActor2D()
        boyTextActor.SetMapper(boyTextMapper)
        boyTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        boyTextActor.GetPositionCoordinate().SetValue(8, -6.5, 0)

        # ------------------------------------------------------------
        # Create a cross cap
        # ------------------------------------------------------------
        crossCap = vtk.vtkParametricCrossCap()
        crossCapSource = vtk.vtkParametricFunctionSource()
        crossCapSource.SetParametricFunction(crossCap)
        crossCapSource.SetScalarModeToY()

        crossCapMapper = vtk.vtkPolyDataMapper()
        crossCapMapper.SetInputConnection(crossCapSource.GetOutputPort())
        crossCapActor = vtk.vtkActor()
        crossCapActor.SetMapper(crossCapMapper)
        crossCapActor.RotateX(65)
        crossCapActor.SetPosition(16, -4, 0)
        crossCapActor.SetScale(1.5, 1.5, 1.5)

        crossCapTextMapper = vtk.vtkTextMapper()
        crossCapTextMapper.SetInput("Cross.Cap")
        crossCapTextMapper.GetTextProperty().SetJustificationToCentered()
        crossCapTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        crossCapTextMapper.GetTextProperty().SetColor(1, 0, 0)
        crossCapTextMapper.GetTextProperty().SetFontSize(14)
        crossCapTextActor = vtk.vtkActor2D()
        crossCapTextActor.SetMapper(crossCapTextMapper)
        crossCapTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        crossCapTextActor.GetPositionCoordinate().SetValue(16, -6.5, 0)

        # ------------------------------------------------------------
        # Create Dini's surface
        # ------------------------------------------------------------
        dini = vtk.vtkParametricDini()
        diniSource = vtk.vtkParametricFunctionSource()
        diniSource.SetScalarModeToDistance()
        diniSource.SetParametricFunction(dini)

        diniMapper = vtk.vtkPolyDataMapper()
        diniMapper.SetInputConnection(diniSource.GetOutputPort())

        diniActor = vtk.vtkActor()
        diniActor.SetMapper(diniMapper)
        diniActor.RotateX(-90)
        diniActor.SetPosition(24, -3, 0)
        diniActor.SetScale(1.5, 1.5, 0.5)

        diniTextMapper = vtk.vtkTextMapper()
        diniTextMapper.SetInput("Dini")
        diniTextMapper.GetTextProperty().SetJustificationToCentered()
        diniTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        diniTextMapper.GetTextProperty().SetColor(1, 0, 0)
        diniTextMapper.GetTextProperty().SetFontSize(14)
        diniTextActor = vtk.vtkActor2D()
        diniTextActor.SetMapper(diniTextMapper)
        diniTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        diniTextActor.GetPositionCoordinate().SetValue(24, -6.5, 0)

        # ------------------------------------------------------------
        # Create Enneper's surface
        # ------------------------------------------------------------
        enneper = vtk.vtkParametricEnneper()
        enneperSource = vtk.vtkParametricFunctionSource()
        enneperSource.SetParametricFunction(enneper)
        enneperSource.SetScalarModeToQuadrant()

        enneperMapper = vtk.vtkPolyDataMapper()
        enneperMapper.SetInputConnection(enneperSource.GetOutputPort())
        enneperMapper.SetScalarRange(1, 4)

        enneperActor = vtk.vtkActor()
        enneperActor.SetMapper(enneperMapper)
        enneperActor.SetPosition(0, -12, 0)
        enneperActor.SetScale(0.25, 0.25, 0.25)

        enneperTextMapper = vtk.vtkTextMapper()
        enneperTextMapper.SetInput("Enneper")
        enneperTextMapper.GetTextProperty().SetJustificationToCentered()
        enneperTextMapper.GetTextProperty().SetVerticalJustificationToCentered(
        )
        enneperTextMapper.GetTextProperty().SetColor(1, 0, 0)
        enneperTextMapper.GetTextProperty().SetFontSize(14)
        enneperTextActor = vtk.vtkActor2D()
        enneperTextActor.SetMapper(enneperTextMapper)
        enneperTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        enneperTextActor.GetPositionCoordinate().SetValue(0, -14.5, 0)

        # ------------------------------------------------------------
        # Create an ellipsoidal surface
        # ------------------------------------------------------------
        ellipsoid = vtk.vtkParametricEllipsoid()
        ellipsoid.SetXRadius(1)
        ellipsoid.SetYRadius(0.75)
        ellipsoid.SetZRadius(0.5)
        ellipsoidSource = vtk.vtkParametricFunctionSource()
        ellipsoidSource.SetParametricFunction(ellipsoid)
        ellipsoidSource.SetScalarModeToZ()

        ellipsoidMapper = vtk.vtkPolyDataMapper()
        ellipsoidMapper.SetInputConnection(ellipsoidSource.GetOutputPort())
        ellipsoidMapper.SetScalarRange(-0.5, 0.5)

        ellipsoidActor = vtk.vtkActor()
        ellipsoidActor.SetMapper(ellipsoidMapper)
        ellipsoidActor.SetPosition(8, -12, 0)
        ellipsoidActor.SetScale(1.5, 1.5, 1.5)

        ellipsoidTextMapper = vtk.vtkTextMapper()
        ellipsoidTextMapper.SetInput("Ellipsoid")
        ellipsoidTextMapper.GetTextProperty().SetJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        ellipsoidTextMapper.GetTextProperty().SetColor(1, 0, 0)
        ellipsoidTextMapper.GetTextProperty().SetFontSize(14)
        ellipsoidTextActor = vtk.vtkActor2D()
        ellipsoidTextActor.SetMapper(ellipsoidTextMapper)
        ellipsoidTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        ellipsoidTextActor.GetPositionCoordinate().SetValue(8, -14.5, 0)

        # ------------------------------------------------------------
        # Create an surface with random hills on it.
        # Note that for testing, we will disable the
        # random generation of the surfaces. This is
        # because random number generators do not
        # return the same result on different operating
        # systems.
        # ------------------------------------------------------------
        randomHills = vtk.vtkParametricRandomHills()
        randomHills.AllowRandomGenerationOff()
        randomHills.GenerateTheHills()
        randomHillsSource = vtk.vtkParametricFunctionSource()
        randomHillsSource.SetParametricFunction(randomHills)
        randomHillsSource.GenerateTextureCoordinatesOn()

        randomHillsMapper = vtk.vtkPolyDataMapper()
        randomHillsMapper.SetInputConnection(randomHillsSource.GetOutputPort())

        randomHillsActor = vtk.vtkActor()
        randomHillsActor.SetMapper(randomHillsMapper)
        randomHillsActor.SetPosition(16, -14, 0)
        randomHillsActor.SetScale(0.2, 0.2, 0.2)
        randomHillsActor.SetTexture(texture)

        randomHillsTextMapper = vtk.vtkTextMapper()
        randomHillsTextMapper.SetInput("Random.Hills")
        randomHillsTextMapper.GetTextProperty().SetJustificationToCentered()
        randomHillsTextMapper.GetTextProperty(
        ).SetVerticalJustificationToCentered()
        randomHillsTextMapper.GetTextProperty().SetColor(1, 0, 0)
        randomHillsTextMapper.GetTextProperty().SetFontSize(14)
        randomHillsTextActor = vtk.vtkActor2D()
        randomHillsTextActor.SetMapper(randomHillsTextMapper)
        randomHillsTextActor.GetPositionCoordinate(
        ).SetCoordinateSystemToWorld()
        randomHillsTextActor.GetPositionCoordinate().SetValue(16, -14.5, 0)

        # ------------------------------------------------------------
        # Create an Steiner's Roman Surface.
        # ------------------------------------------------------------
        roman = vtk.vtkParametricRoman()
        roman.SetRadius(1.5)
        romanSource = vtk.vtkParametricFunctionSource()
        romanSource.SetParametricFunction(roman)
        romanSource.SetScalarModeToX()

        romanMapper = vtk.vtkPolyDataMapper()
        romanMapper.SetInputConnection(romanSource.GetOutputPort())

        romanActor = vtk.vtkActor()
        romanActor.SetMapper(romanMapper)
        romanActor.SetPosition(24, -12, 0)

        romanTextMapper = vtk.vtkTextMapper()
        romanTextMapper.SetInput("Roman")
        romanTextMapper.GetTextProperty().SetJustificationToCentered()
        romanTextMapper.GetTextProperty().SetVerticalJustificationToCentered()
        romanTextMapper.GetTextProperty().SetColor(1, 0, 0)
        romanTextMapper.GetTextProperty().SetFontSize(14)
        romanTextActor = vtk.vtkActor2D()
        romanTextActor.SetMapper(romanTextMapper)
        romanTextActor.GetPositionCoordinate().SetCoordinateSystemToWorld()
        romanTextActor.GetPositionCoordinate().SetValue(24, -14.5, 0)

        # ------------------------------------------------------------
        # Create the RenderWindow, Renderer and both Actors
        # ------------------------------------------------------------
        ren = vtk.vtkRenderer()
        renWin = vtk.vtkRenderWindow()
        renWin.AddRenderer(ren)
        iren = vtk.vtkRenderWindowInteractor()
        iren.SetRenderWindow(renWin)

        # add actors
        ren.AddViewProp(torusActor)
        ren.AddViewProp(kleinActor)
        ren.AddViewProp(klein2Actor)
        ren.AddViewProp(toroidActor)
        ren.AddViewProp(superEllipsoidActor)
        ren.AddViewProp(mobiusActor)
        ren.AddViewProp(splineActor)
        ren.AddViewProp(spline2Actor)
        ren.AddViewProp(sconicActor)
        ren.AddViewProp(boyActor)
        ren.AddViewProp(crossCapActor)
        ren.AddViewProp(diniActor)
        ren.AddViewProp(enneperActor)
        ren.AddViewProp(ellipsoidActor)
        ren.AddViewProp(randomHillsActor)
        ren.AddViewProp(romanActor)
        #add text actors
        ren.AddViewProp(torusTextActor)
        ren.AddViewProp(kleinTextActor)
        ren.AddViewProp(fig8KleinTextActor)
        ren.AddViewProp(mobiusTextActor)
        ren.AddViewProp(superToroidTextActor)
        ren.AddViewProp(superEllipsoidTextActor)
        ren.AddViewProp(splineTextActor)
        ren.AddViewProp(spline2TextActor)
        ren.AddViewProp(sconicTextActor)
        ren.AddViewProp(boyTextActor)
        ren.AddViewProp(crossCapTextActor)
        ren.AddViewProp(diniTextActor)
        ren.AddViewProp(enneperTextActor)
        ren.AddViewProp(ellipsoidTextActor)
        ren.AddViewProp(randomHillsTextActor)
        ren.AddViewProp(romanTextActor)

        ren.SetBackground(0.7, 0.8, 1)
        renWin.SetSize(500, 500)
        ren.ResetCamera()
        ren.GetActiveCamera().Zoom(1.3)

        iren.Initialize()
        renWin.Render()
        #iren.Start()
        img_file = "TestParametricFunctions.png"
        vtk.test.Testing.compareImage(
            iren.GetRenderWindow(),
            vtk.test.Testing.getAbsImagePath(img_file),
            threshold=25)
        vtk.test.Testing.interact()