TensorEllipsoids
Repository source: 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.
Question
If you have a question about this example, please use the VTK Discourse Forum
Code¶
TensorEllipsoids.py
#!/usr/bin/env python3
# Translated from TenEllip.tcl
from dataclasses import dataclass
# noinspection PyUnresolvedReferences
import vtkmodules.vtkInteractionStyle
# noinspection PyUnresolvedReferences
import vtkmodules.vtkRenderingOpenGL2
from vtkmodules.vtkCommonColor import (
vtkColorSeries,
vtkNamedColors
)
from vtkmodules.vtkCommonCore import vtkLookupTable
from vtkmodules.vtkFiltersCore import (
vtkPolyDataNormals,
vtkTensorGlyph
)
from vtkmodules.vtkFiltersGeometry import vtkImageDataGeometryFilter
from vtkmodules.vtkFiltersModeling import vtkOutlineFilter
from vtkmodules.vtkFiltersSources import (
vtkConeSource,
vtkSphereSource
)
from vtkmodules.vtkImagingHybrid import vtkPointLoad
from vtkmodules.vtkRenderingCore import (
vtkActor,
vtkCamera,
vtkPolyDataMapper,
vtkRenderWindow,
vtkRenderWindowInteractor,
vtkRenderer
)
def main():
colors = vtkNamedColors()
# Create the RenderWindow, Renderer and interactive renderer.
ren = vtkRenderer(background=colors.GetColor3d('WhiteSmoke'))
ren_win = vtkRenderWindow(size=(512, 512), window_name='TensorEllipsoids')
ren_win.AddRenderer(ren)
iren = vtkRenderWindowInteractor()
iren.render_window = ren_win
# Generate the tensors.
pt_load = vtkPointLoad(load_value=100.0, sample_dimensions=(6, 6, 6),
compute_effective_stress=True,
model_bounds=(-10, 10, -10, 10, -10, 10))
# Extract a plane of data.
plane = vtkImageDataGeometryFilter()
plane.SetExtent(2, 2, 0, 99, 0, 99)
pt_load >> plane
# Generate the ellipsoids.
sphere = vtkSphereSource(theta_resolution=8, phi_resolution=8)
tensor_ellipsoids = vtkTensorGlyph(source_data=sphere.update().output,
scale_factor=10, clamp_scaling=True)
ellip_normals = vtkPolyDataNormals()
scalar_range = plane.update().output.scalar_range # force update for scalar range
tensor_ellipsoids_mapper = vtkPolyDataMapper(lookup_table=make_log_lut(), scalar_range=scalar_range)
pt_load >> tensor_ellipsoids >> ellip_normals >> tensor_ellipsoids_mapper
tensor_actor = vtkActor()
tensor_actor.SetMapper(tensor_ellipsoids_mapper)
# Create an outline around the data.
outline = vtkOutlineFilter()
outline_mapper = vtkPolyDataMapper()
pt_load >> outline >> outline_mapper
outline_actor = vtkActor(mapper=outline_mapper)
outline_actor.SetMapper(outline_mapper)
outline_actor.property.color = colors.GetColor3d('Black')
# Create a cone whose apex indicates the application of load.
cone_src = vtkConeSource(radius=0.5, height=2)
cone_map = vtkPolyDataMapper()
cone_src >> cone_map
cone_actor = vtkActor(mapper=cone_map, position=(0, 0, 11))
cone_actor.RotateY(90)
cone_actor.property.color = colors.GetColor3d('Tomato')
camera = vtkCamera()
camera.focal_point = (0.113766, -1.13665, -1.01919)
camera.position = (-29.4886, -63.1488, 26.5807)
camera.view_angle = 24.4617
camera.view_up = (0.17138, 0.331163, 0.927879)
camera.SetClippingRange(1, 100)
ren.AddActor(tensor_actor)
ren.AddActor(outline_actor)
ren.AddActor(cone_actor)
ren.active_camera = camera
iren.Initialize()
ren_win.Render()
iren.Start()
def make_log_lut():
# Make the lookup using a Brewer palette.
color_series = vtkColorSeries(color_scheme=vtkColorSeries.BREWER_DIVERGING_SPECTRAL_8)
lut = vtkLookupTable(scale=LookupTable.Scale.VTK_SCALE_LOG10)
color_series.BuildLookupTable(lut, color_series.ORDINAL)
lut.SetNanColor(1, 0, 0, 1)
# Original
# lut = vtkLookupTable(scale=LookupTable.Scale.VTK_SCALE_LOG10, hue_range=(0.6667, 0.0))
# lut.Build()
return lut
@dataclass(frozen=True)
class LookupTable:
@dataclass(frozen=True)
class Scale:
VTK_SCALE_LINEAR: int = 0
VTK_SCALE_LOG10: int = 1
if __name__ == '__main__':
main()