from compas.geometry import Point, Polyline, Vector
from compas.geometry import offset_polyline
from compas.utilities import linspace
from compas_plotters import GeometryPlotter
controlpoints = [
Point(0, 0, 0),
Point(4, 2.5, 0),
Point(6, -2.5, 0),
Point(10, 0, 0)
]
controlpoly = Polyline(controlpoints)
curve = Bezier(controlpoints)
poly = Polyline(curve.locus())
poly1 = Polyline(offset_polyline(poly, +0.15))
poly2 = Polyline(offset_polyline(poly, -0.15))
points = [curve.point(t) for t in linspace(0, 1, 20)]
tangents = [curve.tangent(t) for t in linspace(0, 1, 20)]
normals = [Vector(0, 0, 1).cross(t) for t in tangents]
# ==============================================================================
# Visualization
# ==============================================================================
plotter = GeometryPlotter(figsize=(16, 9))
plotter.add(controlpoly,
linestyle='dotted',
from compas.geometry import Point
from compas.geometry import Polyline, Bezier
from compas.geometry import NurbsCurve
from compas.artists import Artist
from compas.colors import Color
points = [Point(0, 0, 0), Point(3, 6, 0), Point(6, -3, 3), Point(10, 0, 0)]
bezier = Bezier(points)
points = bezier.locus(10)
curve = NurbsCurve.from_interpolation(points)
# ==============================================================================
# Visualisation
# ==============================================================================
Artist.clear()
Artist(curve).draw(color=Color.green())
Artist(Polyline(curve.points)).draw(show_points=True)
for point in points:
Artist(point).draw()
Artist.redraw()
degree=2)
curve2 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 2.0, 1.0],
knots=[0.0, 1.0],
multiplicities=[3, 3],
degree=2)
curve3 = NurbsCurve.from_parameters(points=points,
weights=[1.0, 1.0, 1.0],
knots=[0.0, 1.0, 2.0, 3.0, 4.0, 5.0],
multiplicities=[1, 1, 1, 1, 1, 1],
degree=2)
# ==============================================================================
# Visualisation
# ==============================================================================
Artist.clear()
Artist(Polyline(bezier.points)).draw()
Artist(Polyline(bezier.locus())).draw(show_points=True)
Artist(Polyline(curve1.points)).draw(show_points=True)
Artist(curve1).draw(color=Color.black())
Artist(curve2).draw(color=Color.pink())
Artist(curve3).draw(color=Color.azure())
Artist.redraw()
# curve6 = NurbsCurve.from_parameters( # points=points, # weights=[1.0, 1.0, 1.0, 1.0], # knots=[0.0, 0.5, 1.0], # multiplicities=[3, 1, 3], # degree=2 # ) # ============================================================================== # Visualisation # ============================================================================== Artist.clear() Artist(Polyline(bezier.points)).draw() Artist(Polyline(bezier.locus())).draw() Artist(Polyline(curve1.points)).draw(show_points=True) color = Color.red() Artist(curve1).draw(color=color) Artist(curve2).draw(color=color.lightened(factor=20)) Artist(curve3).draw(color=color.lightened(factor=40)) Artist(curve4).draw(color=color.lightened(factor=60)) Artist(curve5).draw(color=color.lightened(factor=80)) # Artist(curve6).draw(color=color.lightened(factor=50)) Artist.redraw()
multiplicities=[3, 1, 3],
degree=2)
# ==============================================================================
# Visualisation
# ==============================================================================
view = App()
view.add(Polyline(bezier.points),
show_points=True,
pointsize=20,
pointcolor=(1, 0, 0),
linewidth=1,
linecolor=(0.3, 0.3, 0.3))
view.add(Polyline(bezier.locus()), linewidth=5, linecolor=(0, 0, 0))
view.add(Polyline(curve1.points),
show_points=True,
pointsize=20,
pointcolor=(1, 0, 0),
linewidth=1,
linecolor=(0.3, 0.3, 0.3))
view.add(Polyline(curve1.locus()), linewidth=5, linecolor=(0, 0, 0))
view.add(Polyline(curve2.locus()), linewidth=3, linecolor=(0, 0, 1))
view.add(Polyline(curve3.locus()), linewidth=3, linecolor=(0.2, 0.2, 1))
view.add(Polyline(curve4.locus()), linewidth=3, linecolor=(0.4, 0.4, 1))
view.add(Polyline(curve5.locus()), linewidth=3, linecolor=(0.6, 0.6, 1))
view.add(Polyline(curve6.locus()), linewidth=3, linecolor=(0.8, 0.8, 1))
view.run()