IsoparametricCellsDemo
VTKExamples/Cxx/GeometricObjects/IsoparametricCellsDemo
Description¶
This example shows the isoparametric cells supported by the VTK. These cells are nonlinear and contain one or more mid-side vertices. Isoparametric elements are typically used in finite element analysis. The term isoparametric is derived from the use of the same shape functions (or interpolation functions) to define the element's geometric shape as are used to define the displacements within the element.
This example illustrates each cell's representation using its parametric coordinates (pcoords) as the vertices of the cell. In practice, the vertices will correspond to physical points in a finite element model. Use vtkTessellatorFilter to better see the shape of the cell. See for example, QuadraticHexahedronDemo and QuadraticTetraDemo.
Other Languages
See (Python)
Code¶
IsoparametricCellsDemo.cxx
#include <vtkActor.h> #include <vtkActor2D.h> #include <vtkCamera.h> #include <vtkCellArray.h> #include <vtkDataSetMapper.h> #include <vtkGlyph3DMapper.h> #include <vtkLabeledDataMapper.h> #include <vtkNamedColors.h> #include <vtkPoints.h> #include <vtkProperty.h> #include <vtkRenderer.h> #include <vtkRenderWindow.h> #include <vtkRenderWindowInteractor.h> #include <vtkSmartPointer.h> #include <vtkSphereSource.h> #include <vtkTextMapper.h> #include <vtkTextProperty.h> #include <vtkTextProperty.h> #include <vtkUnstructuredGrid.h> #include <vtkBiQuadraticQuad.h> #include <vtkBiQuadraticQuadraticHexahedron.h> #include <vtkBiQuadraticQuadraticWedge.h> #include <vtkBiQuadraticTriangle.h> #include <vtkCubicLine.h> #include <vtkQuadraticEdge.h> #include <vtkQuadraticHexahedron.h> #include <vtkQuadraticLinearQuad.h> #include <vtkQuadraticLinearWedge.h> #include <vtkQuadraticPolygon.h> #include <vtkQuadraticPyramid.h> #include <vtkQuadraticQuad.h> #include <vtkQuadraticTetra.h> #include <vtkQuadraticTriangle.h> #include <vtkQuadraticWedge.h> #include <vtkTriQuadraticHexahedron.h> #include <algorithm> #include <array> #include <cstdlib> #include <string> #include <vector> // These functions return a vtkUnstructured grid corresponding to the object. namespace { template<typename T> vtkSmartPointer<vtkUnstructuredGrid> MakeUnstructuredGrid(vtkSmartPointer<T>); vtkSmartPointer<vtkUnstructuredGrid> MakeQuadraticPolygon(); } int main(int, char *[]) { std::vector<std::string> titles; std::vector<vtkSmartPointer<vtkTextMapper> > textMappers; std::vector<vtkSmartPointer<vtkActor2D> > textActors; std::vector<vtkSmartPointer<vtkUnstructuredGrid> > uGrids; std::vector<vtkSmartPointer<vtkDataSetMapper> > mappers; std::vector<vtkSmartPointer<vtkActor> > actors; std::vector<vtkSmartPointer<vtkRenderer> > renderers; uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticEdge>::New())); titles.push_back("VTK_QUADRATIC_EDGE (= 21)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticTriangle>::New())); titles.push_back("VTK_QUADRATIC_TRIANGLE (= 22)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticQuad>::New())); titles.push_back("VTK_QUADRATIC_QUAD (= 23)"); uGrids.push_back(MakeQuadraticPolygon()); titles.push_back("VTK_QUADRATIC_POLYGON (= 36)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticTetra>::New())); titles.push_back("VTK_QUADRATIC_TETRA (= 24)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticHexahedron>::New())); titles.push_back("VTK_QUADRATIC_HEXAHEDRON (= 25)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticWedge>::New())); titles.push_back("VTK_QUADRATIC_WEDGE (= 26)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticPyramid>::New())); titles.push_back("VTK_QUADRATIC_PYRAMID (= 27)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkBiQuadraticQuad>::New())); titles.push_back("VTK_BIQUADRATIC_QUAD (= 28)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkTriQuadraticHexahedron>::New())); titles.push_back("VTK_TRIQUADRATIC_HEXAHEDRON (= 29)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticLinearQuad>::New())); titles.push_back("VTK_QUADRATIC_LINEAR_QUAD (= 30)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkQuadraticLinearWedge>::New())); titles.push_back("VTK_QUADRATIC_LINEAR_WEDGE (= 31)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkBiQuadraticQuadraticWedge>::New())); titles.push_back("VTK_BIQUADRATIC_QUADRATIC_WEDGE (= 32)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkBiQuadraticQuadraticHexahedron>::New())); titles.push_back("VTK_BIQUADRATIC_QUADRATIC_HEXAHEDRON (= 33)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkBiQuadraticTriangle>::New())); titles.push_back("VTK_BIQUADRATIC_TRIANGLE (= 34)"); uGrids.push_back(MakeUnstructuredGrid( vtkSmartPointer<vtkCubicLine>::New())); titles.push_back("VTK_CUBIC_LINE (= 35)"); vtkSmartPointer<vtkNamedColors> colors = vtkSmartPointer<vtkNamedColors>::New(); vtkSmartPointer<vtkRenderWindow> renWin = vtkSmartPointer<vtkRenderWindow>::New(); renWin->SetSize(600, 600); renWin->SetWindowName("Isoparametric Cell"); vtkSmartPointer<vtkRenderWindowInteractor> iRen = vtkSmartPointer<vtkRenderWindowInteractor>::New(); iRen->SetRenderWindow(renWin); // Create one sphere for all vtkSmartPointer<vtkSphereSource> sphere = vtkSmartPointer<vtkSphereSource>::New(); sphere->SetPhiResolution(21); sphere->SetThetaResolution(21); sphere->SetRadius(.08); // Create one text property for all vtkSmartPointer<vtkTextProperty> textProperty = vtkSmartPointer<vtkTextProperty>::New(); textProperty->SetFontSize(10); textProperty->SetJustificationToCentered(); // Create and link the mappers actors and renderers together. for (unsigned int i = 0; i < uGrids.size(); ++i) { std::cout << "Creating: " << titles[i] << std::endl; textMappers.push_back(vtkSmartPointer<vtkTextMapper>::New()); textActors.push_back(vtkSmartPointer<vtkActor2D>::New()); textMappers[i]->GetTextProperty()->SetFontSize(10); textMappers[i]->GetTextProperty()->ShadowOn(); mappers.push_back(vtkSmartPointer<vtkDataSetMapper>::New()); actors.push_back(vtkSmartPointer<vtkActor>::New()); renderers.push_back(vtkSmartPointer<vtkRenderer>::New()); mappers[i]->SetInputData(uGrids[i]); actors[i]->SetMapper(mappers[i]); actors[i]->GetProperty()->SetColor(colors->GetColor3d("Tomato").GetData()); actors[i]->GetProperty()->EdgeVisibilityOn(); actors[i]->GetProperty()->SetLineWidth(3); actors[i]->GetProperty()->SetOpacity(.5); renderers[i]->AddViewProp(actors[i]); textMappers[i]->SetInput(titles[i].c_str()); textActors[i]->SetMapper(textMappers[i]); textActors[i]->SetPosition(50, 10); renderers[i]->AddViewProp(textActors[i]); // Label the points vtkSmartPointer<vtkLabeledDataMapper> labelMapper = vtkSmartPointer<vtkLabeledDataMapper>::New(); labelMapper->SetInputData(uGrids[i]); vtkSmartPointer<vtkActor2D> labelActor = vtkSmartPointer<vtkActor2D>::New(); labelActor->SetMapper(labelMapper); renderers[i]->AddViewProp(labelActor); // Glyph the points vtkSmartPointer<vtkGlyph3DMapper> pointMapper = vtkSmartPointer<vtkGlyph3DMapper>::New(); pointMapper->SetInputData(uGrids[i]); pointMapper->SetSourceConnection(sphere->GetOutputPort()); pointMapper->ScalingOff(); pointMapper->ScalarVisibilityOff(); vtkSmartPointer<vtkActor> pointActor = vtkSmartPointer<vtkActor>::New(); pointActor->SetMapper(pointMapper); pointActor->GetProperty()->SetDiffuseColor(colors->GetColor3d("Banana").GetData()); pointActor->GetProperty()->SetSpecular(.6); pointActor->GetProperty()->SetSpecularColor(1.0,1.0,1.0); pointActor->GetProperty()->SetSpecularPower(100); renderers[i]->AddViewProp(pointActor); renWin->AddRenderer(renderers[i]); } // Setup the viewports int xGridDimensions = 4; int yGridDimensions = 4; int rendererSize = 240; renWin->SetSize( rendererSize * xGridDimensions, rendererSize * yGridDimensions); for(int row = 0; row < yGridDimensions; row++) { for(int col = 0; col < xGridDimensions; col++) { int index = row * xGridDimensions + col; // (xmin, ymin, xmax, ymax) // (xmin, ymin, xmax, ymax) double viewport[4] = { static_cast<double>(col) / xGridDimensions, static_cast<double>(yGridDimensions - (row + 1))/ yGridDimensions, static_cast<double>(col + 1) / xGridDimensions, static_cast<double>(yGridDimensions - row) / yGridDimensions }; if(index > int(actors.size()) - 1) { // Add a renderer even if there is no actor. // This makes the render window background all the same color. vtkSmartPointer<vtkRenderer> ren = vtkSmartPointer<vtkRenderer>::New(); ren->SetBackground(colors->GetColor3d("SlateGray").GetData()); ren->SetViewport(viewport); renWin->AddRenderer(ren); continue; } renderers[index]->SetViewport(viewport); renderers[index]->SetBackground(colors->GetColor3d("SlateGray").GetData()); renderers[index]->ResetCamera(); renderers[index]->GetActiveCamera()->Azimuth(30); renderers[index]->GetActiveCamera()->Elevation(-30); renderers[index]->ResetCameraClippingRange(); } } iRen->Initialize(); renWin->Render(); iRen->Start(); return EXIT_SUCCESS; } namespace { template<typename T> vtkSmartPointer<vtkUnstructuredGrid> MakeUnstructuredGrid(vtkSmartPointer<T> aCell) { double *pcoords = aCell->GetParametricCoords(); for (int i = 0; i < aCell->GetNumberOfPoints(); ++i) { aCell->GetPointIds()->SetId(i, i); aCell->GetPoints()->SetPoint(i, *(pcoords + 3 * i), *(pcoords + 3 * i + 1), *(pcoords + 3 * i + 2)); } vtkSmartPointer<vtkUnstructuredGrid> ug = vtkSmartPointer<vtkUnstructuredGrid>::New(); ug->SetPoints(aCell->GetPoints()); ug->InsertNextCell(aCell->GetCellType(),aCell->GetPointIds()); return ug; } vtkSmartPointer<vtkUnstructuredGrid> MakeQuadraticPolygon() { vtkSmartPointer<vtkQuadraticPolygon> quadraticPolygon = vtkSmartPointer<vtkQuadraticPolygon>::New(); quadraticPolygon->GetPointIds()->SetNumberOfIds(8); quadraticPolygon->GetPointIds()->SetId(0,0); quadraticPolygon->GetPointIds()->SetId(1,1); quadraticPolygon->GetPointIds()->SetId(2,2); quadraticPolygon->GetPointIds()->SetId(3,3); quadraticPolygon->GetPointIds()->SetId(4,4); quadraticPolygon->GetPointIds()->SetId(5,5); quadraticPolygon->GetPointIds()->SetId(6,6); quadraticPolygon->GetPointIds()->SetId(7,7); quadraticPolygon->GetPoints()->SetNumberOfPoints(8); quadraticPolygon->GetPoints()->SetPoint(0, 0.0, 0.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(1, 2.0, 0.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(2, 2.0, 2.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(3, 0.0, 2.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(4, 1.0, 0.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(5, 2.0, 1.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(6, 1.0, 2.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(7, 0.0, 1.0, 0.0); quadraticPolygon->GetPoints()->SetPoint(5, 3.0, 1.0, 0.0); vtkSmartPointer<vtkUnstructuredGrid> ug = vtkSmartPointer<vtkUnstructuredGrid>::New(); ug->SetPoints(quadraticPolygon->GetPoints()); ug->InsertNextCell(quadraticPolygon->GetCellType(),quadraticPolygon->GetPointIds()); return ug; } }
CMakeLists.txt¶
cmake_minimum_required(VERSION 3.3 FATAL_ERROR) project(IsoparametricCellsDemo) find_package(VTK COMPONENTS vtkCommonColor vtkCommonCore vtkCommonDataModel vtkFiltersSources vtkInteractionStyle vtkRenderingCore vtkRenderingFreeType vtkRenderingLabel vtkRenderingOpenGL2 QUIET) if (NOT VTK_FOUND) message("Skipping IsoparametricCellsDemo: ${VTK_NOT_FOUND_MESSAGE}") return () endif() message (STATUS "VTK_VERSION: ${VTK_VERSION}") if (VTK_VERSION VERSION_LESS "8.90.0") # old system include(${VTK_USE_FILE}) add_executable(IsoparametricCellsDemo MACOSX_BUNDLE IsoparametricCellsDemo.cxx ) target_link_libraries(IsoparametricCellsDemo PRIVATE ${VTK_LIBRARIES}) else () # include all components add_executable(IsoparametricCellsDemo MACOSX_BUNDLE IsoparametricCellsDemo.cxx ) target_link_libraries(IsoparametricCellsDemo PRIVATE ${VTK_LIBRARIES}) # vtk_module_autoinit is needed vtk_module_autoinit( TARGETS IsoparametricCellsDemo MODULES ${VTK_LIBRARIES} ) endif ()
Download and Build IsoparametricCellsDemo¶
Click here to download IsoparametricCellsDemo and its CMakeLists.txt file. Once the tarball IsoparametricCellsDemo.tar has been downloaded and extracted,
cd IsoparametricCellsDemo/build
If VTK is installed:
cmake ..
If VTK is not installed but compiled on your system, you will need to specify the path to your VTK build:
cmake -DVTK_DIR:PATH=/home/me/vtk_build ..
Build the project:
make
and run it:
./IsoparametricCellsDemo
WINDOWS USERS
Be sure to add the VTK bin directory to your path. This will resolve the VTK dll's at run time.