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#!/usr/bin/env python
#
# Author: Patrick Hung (patrickh @caltech)
# Copyright (c) 1997-2016 California Institute of Technology.
# Copyright (c) 2016-2024 The Uncertainty Quantification Foundation.
# License: 3-clause BSD. The full license text is available at:
# - https://github.com/uqfoundation/mystic/blob/master/LICENSE
#
# This example is a derivative of vtk's ClipCow
# It is a visualization of Prince Rupert's problem
import tkinter
import vtk
from vtk.tk.vtkTkRenderWindowInteractor import \
vtkTkRenderWindowInteractor
from numpy import array, cross
from vtk.util.colors import peacock, tomato
#cube = vtk.vtkBYUReader()
#cube.SetGeometryFileName("./cube.g")
cube = vtk.vtkCubeSource()
cube.SetCenter(0.5,0.5,0.5)
cubeNormals = vtk.vtkPolyDataNormals()
cubeNormals.SetInputConnection(cube.GetOutputPort())
cube = cubeNormals
def PlaneNormal(a, b, c):
assert(a >= 0 and a <= 1)
assert(b >= 0 and b <= 1)
assert(c >= 0 and c <= 2)
A = array([a, 0.0, 0.0])
B = array([0.0, b, 0.0])
if c < 1:
C = array([c, 0.0, 1.0])
else:
C = array([1.0, c-1.0, 1.0])
BA = B-A
CA = C-A
return cross(BA, CA)
def CuttingPlane(a, b, c):
N = PlaneNormal(a,b,c)
plane = vtk.vtkPlane()
plane.SetOrigin(a, 0, 0)
plane.SetNormal(*N)
return plane
def getAxes(Origin, scale = 1):
axes = vtk.vtkAxes()
axes.SetOrigin(*Origin)
axes.SetScaleFactor(scale)
axesTubes = vtk.vtkTubeFilter()
axesTubes.SetInputConnection(axes.GetOutputPort())
axesTubes.SetRadius(0.01)
axesTubes.SetNumberOfSides(6)
axesMapper = vtk.vtkPolyDataMapper()
axesMapper.SetInputConnection(axesTubes.GetOutputPort())
axesActor = vtk.vtkActor()
axesActor.SetMapper(axesMapper)
XText = vtk.vtkVectorText()
XText.SetText("x")
XTextMapper = vtk.vtkPolyDataMapper()
XTextMapper.SetInputConnection(XText.GetOutputPort())
XActor = vtk.vtkFollower()
XActor.SetMapper(XTextMapper)
XActor.SetScale(.1, .1, .1)
XActor.SetPosition(1, Origin[1], Origin[2])
XActor.GetProperty().SetColor(0, 0, 0)
YText = vtk.vtkVectorText()
YText.SetText("y")
YTextMapper = vtk.vtkPolyDataMapper()
YTextMapper.SetInputConnection(YText.GetOutputPort())
YActor = vtk.vtkFollower()
YActor.SetMapper(YTextMapper)
YActor.SetScale(.1, .1, .1)
YActor.SetPosition(Origin[0], 1, Origin[2])
YActor.GetProperty().SetColor(0, 0, 0)
return axesActor, XActor, YActor
axesActor, XActor, YActor = getAxes([-.1, -.1, -.1])
P = (0.75, 0.75, 1.25)
# vtkClipPolyData requires an implicit function to define what it is to
# clip with. Any implicit function, including complex boolean combinations
# can be used. Notice that we can specify the value of the implicit function
# with the SetValue method.
clipper = vtk.vtkClipPolyData()
clipper.SetInputConnection(cubeNormals.GetOutputPort())
clipper.SetClipFunction(CuttingPlane(*P))
clipper.GenerateClipScalarsOn()
clipper.GenerateClippedOutputOn()
clipper.SetValue(0)
clipMapper = vtk.vtkPolyDataMapper()
clipMapper.SetInputConnection(clipper.GetOutputPort())
clipMapper.ScalarVisibilityOff()
backProp = vtk.vtkProperty()
backProp.SetDiffuseColor(tomato)
clipActor = vtk.vtkActor()
clipActor.SetMapper(clipMapper)
clipActor.GetProperty().SetColor(peacock)
clipActor.SetBackfaceProperty(backProp)
# Here we are cutting the cube. Cutting creates lines where the cut
# function intersects the model. (Clipping removes a portion of the
# model but the dimension of the data does not change.)
#
# The reason we are cutting is to generate a closed polygon at the
# boundary of the clipping process. The cutter generates line
# segments, the stripper then puts them together into polylines. We
# then pull a trick and define polygons using the closed line
# segements that the stripper created.
cutEdges = vtk.vtkCutter()
cutEdges.SetInputConnection(cubeNormals.GetOutputPort())
cutEdges.SetCutFunction(CuttingPlane(*P))
cutEdges.GenerateCutScalarsOn()
cutEdges.SetValue(0, 0)
cutStrips = vtk.vtkStripper()
cutStrips.SetInputConnection(cutEdges.GetOutputPort())
cutStrips.Update()
cutPoly = vtk.vtkPolyData()
cutPoly.SetPoints(cutStrips.GetOutput().GetPoints())
cutPoly.SetPolys(cutStrips.GetOutput().GetLines())
# Triangle filter is robust enough to ignore the duplicate point at
# the beginning and end of the polygons and triangulate them.
cutTriangles = vtk.vtkTriangleFilter()
cutTriangles.SetInput(cutPoly)
cutMapper = vtk.vtkPolyDataMapper()
cutMapper.SetInput(cutPoly)
cutMapper.SetInputConnection(cutTriangles.GetOutputPort())
cutActor = vtk.vtkActor()
cutActor.SetMapper(cutMapper)
cutActor.GetProperty().SetColor(peacock)
# The clipped part of the cube is rendered wireframe.
restMapper = vtk.vtkPolyDataMapper()
restMapper.SetInput(clipper.GetClippedOutput())
restMapper.ScalarVisibilityOff()
restActor = vtk.vtkActor()
restActor.SetMapper(restMapper)
restActor.GetProperty().SetRepresentationToWireframe()
# Create graphics stuff
renWin = vtk.vtkRenderWindow()
ren = vtk.vtkRenderer()
ren.SetBackground(tomato)
renWin.AddRenderer(ren)
# Add the actors to the renderer, set the background and size
ren.AddActor(clipActor)
ren.AddActor(cutActor)
ren.AddActor(restActor)
ren.AddActor(axesActor)
ren.AddActor(XActor)
ren.AddActor(YActor)
ren.SetBackground(1, 1, 1)
ren.ResetCamera()
camera = ren.GetActiveCamera()
camera.SetFocalPoint(0.489125, 0.481143, 0.445)
camera.SetPosition(-0.870854, -1.51779, 3.14336)
camera.SetParallelScale(1.00818)
camera.SetParallelProjection(1)
camera.SetViewUp(-0.239476, 0.833984, 0.497114)
ren.ResetCameraClippingRange()
renWin.SetSize(400, 400)
def Cut(v):
Q = (P[0], P[1], v)
cp = CuttingPlane(*Q)
pn = PlaneNormal(*Q)
clipper.SetClipFunction(cp)
clipper.SetValue(0)
cutEdges.SetCutFunction(cp)
cutEdges.SetValue(0, 0)
cutStrips.Update()
cutPoly.SetPoints(cutStrips.GetOutput().GetPoints())
cutPoly.SetPolys(cutStrips.GetOutput().GetLines())
cutMapper.Update()
renWin.Render()
root = tkinter.Tk()
vtkw = vtkTkRenderWindowInteractor(root, rw=renWin, width=800)
def set_cut(sz):
sz = float(sz)
# print(ren.GetActiveCamera())
Cut(sz)
# propagate this GUI setting to the corresponding VTK object.
size_slider = tkinter.Scale(root, from_=0.0,
to=2.0, res=0.01,
orient='horizontal', label="Clipping Center",
command=set_cut)
size_slider.set(P[2])
vtkw.Initialize()
size_slider.pack(side="top", fill="both")
vtkw.pack(side="top", fill='both', expand=1)
# Define a quit method that exits cleanly.
def quit(obj=root):
obj.quit()
root.protocol("WM_DELETE_WINDOW", quit)
renWin.Render()
vtkw.Start()
# start the Tkinter event loop.
root.mainloop()
# end of file
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