TensorEllipsoids
vtk-examples/Python/VisualizationAlgorithms/TensorEllipsoids
Description¶
This example visualizes the analytical results of Boussinesq's problem from Saada. The figure shows the results by displaying the scaled and oriented principal axes as tensor ellipsoids representing the stress tensor. (These are called tensor axes.)
Info
See Figure 6-22b in Chapter 6 the VTK Textbook.
Other languages
See (Cxx)
Question
If you have a question about this example, please use the VTK Discourse Forum
Code¶
TensorEllipsoids.py
#!/usr/bin/env python
# Translated from TenEllip.tcl
import vtk
def main():
colors = vtk.vtkNamedColors()
# Create the RenderWindow, Renderer and interactive renderer.
#
ren = vtk.vtkRenderer()
renWin = vtk.vtkRenderWindow()
renWin.AddRenderer(ren)
iren = vtk.vtkRenderWindowInteractor()
iren.SetRenderWindow(renWin)
# Generate the tensors.
ptLoad = vtk.vtkPointLoad()
ptLoad.SetLoadValue(100.0)
ptLoad.SetSampleDimensions(6, 6, 6)
ptLoad.ComputeEffectiveStressOn()
ptLoad.SetModelBounds(-10, 10, -10, 10, -10, 10)
# Extract a plane of data.
plane = vtk.vtkImageDataGeometryFilter()
plane.SetInputConnection(ptLoad.GetOutputPort())
plane.SetExtent(2, 2, 0, 99, 0, 99)
# Generate the ellipsoids.
sphere = vtk.vtkSphereSource()
sphere.SetThetaResolution(8)
sphere.SetPhiResolution(8)
tensorEllipsoids = vtk.vtkTensorGlyph()
tensorEllipsoids.SetInputConnection(ptLoad.GetOutputPort())
tensorEllipsoids.SetSourceConnection(sphere.GetOutputPort())
tensorEllipsoids.SetScaleFactor(10)
tensorEllipsoids.ClampScalingOn()
ellipNormals = vtk.vtkPolyDataNormals()
ellipNormals.SetInputConnection(tensorEllipsoids.GetOutputPort())
# Map contour
lut = vtk.vtkLookupTable()
MakeLogLUT(lut)
# lut.SetHueRange(.6667, 0.0)
tensorEllipsoidsMapper = vtk.vtkPolyDataMapper()
tensorEllipsoidsMapper.SetInputConnection(ellipNormals.GetOutputPort())
tensorEllipsoidsMapper.SetLookupTable(lut)
plane.Update() # force update for scalar range
tensorEllipsoidsMapper.SetScalarRange(plane.GetOutput().GetScalarRange())
tensorActor = vtk.vtkActor()
tensorActor.SetMapper(tensorEllipsoidsMapper)
# Create an outline around the data.
#
outline = vtk.vtkOutlineFilter()
outline.SetInputConnection(ptLoad.GetOutputPort())
outlineMapper = vtk.vtkPolyDataMapper()
outlineMapper.SetInputConnection(outline.GetOutputPort())
outlineActor = vtk.vtkActor()
outlineActor.SetMapper(outlineMapper)
outlineActor.GetProperty().SetColor(colors.GetColor3d('Black'))
# Create a cone whose apex indicates the application of load.
#
coneSrc = vtk.vtkConeSource()
coneSrc.SetRadius(.5)
coneSrc.SetHeight(2)
coneMap = vtk.vtkPolyDataMapper()
coneMap.SetInputConnection(coneSrc.GetOutputPort())
coneActor = vtk.vtkActor()
coneActor.SetMapper(coneMap)
coneActor.SetPosition(0, 0, 11)
coneActor.RotateY(90)
coneActor.GetProperty().SetColor(colors.GetColor3d('Red'))
camera = vtk.vtkCamera()
camera.SetFocalPoint(0.113766, -1.13665, -1.01919)
camera.SetPosition(-29.4886, -63.1488, 26.5807)
camera.SetViewAngle(24.4617)
camera.SetViewUp(0.17138, 0.331163, 0.927879)
camera.SetClippingRange(1, 100)
ren.AddActor(tensorActor)
ren.AddActor(outlineActor)
ren.AddActor(coneActor)
ren.SetBackground(colors.GetColor3d('WhiteSmoke'))
ren.SetActiveCamera(camera)
renWin.SetSize(512, 512)
renWin.SetWindowName('TensorEllipsoids')
iren.Initialize()
renWin.Render()
iren.Start()
def MakeLogLUT(lut):
# Make the lookup using a Brewer palette.
colorSeries = vtk.vtkColorSeries()
colorSeries.SetNumberOfColors(8)
colorSeriesEnum = colorSeries.BREWER_DIVERGING_SPECTRAL_8
colorSeries.SetColorScheme(colorSeriesEnum)
lut.SetScaleToLog10()
colorSeries.BuildLookupTable(lut, colorSeries.ORDINAL)
lut.SetNanColor(1, 0, 0, 1)
# Original
# lut.SetScaleToLog10()
# lut.SetHueRange(.6667, 0.0)
# lut.Build()
if __name__ == '__main__':
main()