def get_proj(self):
"""Create the projection matrix from the current viewing
position.
elev stores the elevation angle in the z plane
azim stores the azimuth angle in the x,y plane
dist is the distance of the eye viewing point from the object
point.
"""
relev, razim = np.pi * self.elev/180, np.pi * self.azim/180
xmin, xmax = self.get_xlim3d()
ymin, ymax = self.get_ylim3d()
zmin, zmax = self.get_zlim3d()
worldM = proj3d.world_transformation(xmin, xmax,
ymin, ymax,
zmin, zmax)
R = np.array([0.5, 0.5, 0.5])
xp = R[0] + np.cos(razim) * np.cos(relev) * self.dist
yp = R[1] + np.sin(razim) * np.cos(relev) * self.dist
zp = R[2] + np.sin(relev) * self.dist
E = np.array((xp, yp, zp))
self.eye = E
self.vvec = R - E
self.vvec = self.vvec / proj3d.mod(self.vvec)
if abs(relev) > np.pi/2:
V = np.array((0, 0, -1))
else:
V = np.array((0, 0, 1))
zfront, zback = -self.dist, self.dist
viewM = proj3d.view_transformation(E, R, V)
perspM = proj3d.persp_transformation(zfront, zback)
M0 = np.dot(viewM, worldM)
M = np.dot(perspM, M0)
return M
def _shade_colors(self, color, normals):
"""
Shade *color* using normal vectors given by *normals*.
*color* can also be an array of the same length as *normals*.
"""
shade = []
for n in normals:
n = n / proj3d.mod(n)
shade.append(np.dot(n, [-1, -1, 0.5]))
shade = np.array(shade)
mask = ~np.isnan(shade)
if len(shade[mask]) > 0:
norm = Normalize(min(shade[mask]), max(shade[mask]))
if art3d.iscolor(color):
color = color.copy()
color[3] = 1
colors = [color * (0.5 + norm(v) * 0.5) for v in shade]
else:
colors = [np.array(colorConverter.to_rgba(c)) * (0.5 + norm(v) * 0.5) for c, v in zip(color, shade)]
else:
colors = color.copy()
return colors
def _shade_colors(self, color, normals):
'''
Shade *color* using normal vectors given by *normals*.
*color* can also be an array of the same length as *normals*.
'''
shade = []
for n in normals:
n = n / proj3d.mod(n)
shade.append(np.dot(n, [-1, -1, 0.5]))
shade = np.array(shade)
mask = ~np.isnan(shade)
if len(shade[mask]) > 0:
norm = Normalize(min(shade[mask]), max(shade[mask]))
if art3d.iscolor(color):
color = color.copy()
color[3] = 1
colors = [color * (0.5 + norm(v) * 0.5) for v in shade]
else:
colors = [np.array(colorConverter.to_rgba(c)) * \
(0.5 + norm(v) * 0.5) \
for c, v in zip(color, shade)]
else:
colors = color.copy()
return colors
def plot_surface(self, X, Y, Z, *args, **kwargs):
had_data = self.has_data()
rows, cols = Z.shape
tX, tY, tZ = np.transpose(X), np.transpose(Y), np.transpose(Z)
rstride = cbook.popd(kwargs, 'rstride', 10)
cstride = cbook.popd(kwargs, 'cstride', 10)
#
polys = []
boxes = []
for rs in np.arange(0, rows - 1, rstride):
for cs in np.arange(0, cols - 1, cstride):
ps = []
corners = []
for a, ta in [(X, tX), (Y, tY), (Z, tZ)]:
ztop = a[rs][cs:min(cols, cs + cstride + 1)]
zleft = ta[min(cols - 1, cs +
cstride)][rs:min(rows, rs + rstride + 1)]
zbase = a[min(rows - 1, rs +
rstride)][cs:min(cols, cs + cstride + 1):]
zbase = zbase[::-1]
zright = ta[cs][rs:min(rows, rs + rstride + 1):]
zright = zright[::-1]
corners.append([ztop[0], ztop[-1], zbase[0], zbase[-1]])
z = np.concatenate((ztop, zleft, zbase, zright))
ps.append(z)
boxes.append(map(np.array, zip(*corners)))
polys.append(zip(*ps))
#
lines = []
shade = []
for box in boxes:
n = proj3d.cross(box[0] - box[1], box[0] - box[2])
n = n / proj3d.mod(n) * 5
shade.append(np.dot(n, [-1, -1, 0.5]))
lines.append((box[0], n + box[0]))
#
color = np.array([0, 0, 1, 1])
norm = Normalize(min(shade), max(shade))
colors = [color * (0.5 + norm(v) * 0.5) for v in shade]
for c in colors:
c[3] = 1
polyc = art3d.Poly3DCollection(polys,
facecolors=colors,
*args,
**kwargs)
polyc._zsort = 1
self.add_collection(polyc)
#
self.auto_scale_xyz(X, Y, Z, had_data)
return polyc
def _shade_colors(self, color, normals):
shade = []
for n in normals:
n = n / proj3d.mod(n) * 5
shade.append(np.dot(n, [-1, -1, 0.5]))
shade = np.array(shade)
mask = ~np.isnan(shade)
if len(shade[mask]) > 0:
norm = Normalize(min(shade[mask]), max(shade[mask]))
color = color.copy()
color[3] = 1
colors = [color * (0.5 + norm(v) * 0.5) for v in shade]
else:
colors = color.copy()
return colors
def get_proj(self):
"""Create the projection matrix from the current viewing
position.
elev stores the elevation angle in the z plane
azim stores the azimuth angle in the x,y plane
dist is the distance of the eye viewing point from the object
point.
"""
relev,razim = npy.pi * self.elev/180, npy.pi * self.azim/180
xmin,xmax = self.get_w_xlim()
ymin,ymax = self.get_w_ylim()
zmin,zmax = self.get_w_zlim()
# transform to uniform world coordinates 0-1.0,0-1.0,0-1.0
worldM = proj3d.world_transformation(xmin,xmax,
ymin,ymax,
zmin,zmax)
# look into the middle of the new coordinates
R = npy.array([0.5,0.5,0.5])
#
xp = R[0] + npy.cos(razim)*npy.cos(relev)*self.dist
yp = R[1] + npy.sin(razim)*npy.cos(relev)*self.dist
zp = R[2] + npy.sin(relev)*self.dist
E = npy.array((xp, yp, zp))
#
self.eye = E
self.vvec = R - E
self.vvec = self.vvec / proj3d.mod(self.vvec)
if abs(relev) > npy.pi/2:
# upside down
V = npy.array((0,0,-1))
else:
V = npy.array((0,0,1))
zfront,zback = -self.dist,self.dist
viewM = proj3d.view_transformation(E,R,V)
perspM = proj3d.persp_transformation(zfront,zback)
M0 = npy.dot(viewM,worldM)
M = npy.dot(perspM,M0)
return M
def plot_surface(self, X, Y, Z, *args, **kwargs):
had_data = self.has_data()
rows, cols = Z.shape
tX,tY,tZ = npy.transpose(X), npy.transpose(Y), npy.transpose(Z)
rstride = cbook.popd(kwargs, 'rstride', 10)
cstride = cbook.popd(kwargs, 'cstride', 10)
#
polys = []
boxes = []
for rs in npy.arange(0,rows-1,rstride):
for cs in npy.arange(0,cols-1,cstride):
ps = []
corners = []
for a,ta in [(X,tX),(Y,tY),(Z,tZ)]:
ztop = a[rs][cs:min(cols,cs+cstride+1)]
zleft = ta[min(cols-1,cs+cstride)][rs:min(rows,rs+rstride+1)]
zbase = a[min(rows-1,rs+rstride)][cs:min(cols,cs+cstride+1):]
zbase = zbase[::-1]
zright = ta[cs][rs:min(rows,rs+rstride+1):]
zright = zright[::-1]
corners.append([ztop[0],ztop[-1],zbase[0],zbase[-1]])
z = npy.concatenate((ztop,zleft,zbase,zright))
ps.append(z)
boxes.append(map(npy.array,zip(*corners)))
polys.append(zip(*ps))
#
lines = []
shade = []
for box in boxes:
n = proj3d.cross(box[0]-box[1],
box[0]-box[2])
n = n/proj3d.mod(n)*5
shade.append(npy.dot(n,[-1,-1,0.5]))
lines.append((box[0],n+box[0]))
#
color = npy.array([0,0,1,1])
norm = Normalize(min(shade),max(shade))
colors = [color * (0.5+norm(v)*0.5) for v in shade]
for c in colors: c[3] = 1
polyc = art3d.Poly3DCollection(polys, facecolors=colors, *args, **kwargs)
polyc._zsort = 1
self.add_collection(polyc)
#
self.auto_scale_xyz(X,Y,Z, had_data)
return polyc
def _shade_colors(self, color, normals):
shade = []
for n in normals:
n = n / proj3d.mod(n) * 5
shade.append(np.dot(n, [-1, -1, 0.5]))
shade = np.array(shade)
mask = ~np.isnan(shade)
if len(shade[mask]) > 0:
norm = Normalize(min(shade[mask]), max(shade[mask]))
color = color.copy()
color[3] = 1
colors = [color * (0.5 + norm(v) * 0.5) for v in shade]
else:
colors = color.copy()
return colors
def _shade_colors(self, color, normals):
'''
Shade *color* using normal vectors given by *normals*.
*color* can also be an array of the same length as *normals*.
'''
shade = np.array([np.dot(n / proj3d.mod(n), [-1, -1, 0.5])
for n in normals])
mask = ~np.isnan(shade)
if len(shade[mask]) > 0:
norm = Normalize(min(shade[mask]), max(shade[mask]))
color = colorConverter.to_rgba_array(color)
# shape of color should be (M, 4) (where M is number of faces)
# shape of shade should be (M,)
# colors should have final shape of (M, 4)
alpha = color[:, 3]
colors = (0.5 + norm(shade)[:, np.newaxis] * 0.5) * color
colors[:, 3] = alpha
else:
colors = color.copy()
return colors