VTK/Examples/Cxx/Filtering/ConstrainedDelaunay2D

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Perform a 2D Delaunay triangulation respecting a specified boundary. This examples constructs a 10x10 grid of points. It then defines a polygon that uses the points in the grid. We want to triangulate all of the points except the region inside the boundary of the polygon. We expect a rectangular hole of size 4x3 in the resulting triangulated plane.

ConstrainedDelaunay.cxx

The triangulated grid with a hole defined by the boundary polygon.
#include <vtkVersion.h>
#include <vtkCellArray.h>
#include <vtkProperty.h>
#include <vtkPolyDataMapper.h>
#include <vtkActor.h>
#include <vtkPoints.h>
#include <vtkPolyData.h>
#include <vtkPolygon.h>
#include <vtkSmartPointer.h>
#include <vtkDelaunay2D.h>
#include <vtkMath.h>
#include <vtkRenderer.h>
#include <vtkRenderWindow.h>
#include <vtkRenderWindowInteractor.h>
 
int main(int, char *[])
{
  // Generate a 10 x 10 grid of points
  vtkSmartPointer<vtkPoints> points =
    vtkSmartPointer<vtkPoints>::New();
  for(unsigned int x = 0; x < 10; x++)
    {
    for(unsigned int y = 0; y < 10; y++)
      {
      points->InsertNextPoint(x + vtkMath::Random(-.25, .25),
                              y + vtkMath::Random(-.25,.25),
                              0);
      }
    }
 
  vtkSmartPointer<vtkPolyData> aPolyData =
    vtkSmartPointer<vtkPolyData>::New();
  aPolyData->SetPoints(points);
 
  // Create a cell array to store the polygon in
  vtkSmartPointer<vtkCellArray> aCellArray =
    vtkSmartPointer<vtkCellArray>::New();
 
  // Define a polygonal hole with a clockwise polygon
  vtkSmartPointer<vtkPolygon> aPolygon =
   vtkSmartPointer<vtkPolygon>::New();
 
  aPolygon->GetPointIds()->InsertNextId(22);
  aPolygon->GetPointIds()->InsertNextId(23);
  aPolygon->GetPointIds()->InsertNextId(24);
  aPolygon->GetPointIds()->InsertNextId(25);
  aPolygon->GetPointIds()->InsertNextId(35);
  aPolygon->GetPointIds()->InsertNextId(45);
  aPolygon->GetPointIds()->InsertNextId(44);
  aPolygon->GetPointIds()->InsertNextId(43);
  aPolygon->GetPointIds()->InsertNextId(42);
  aPolygon->GetPointIds()->InsertNextId(32);
 
  aCellArray->InsertNextCell(aPolygon);
 
  // Create a polydata to store the boundary. The points must be the
  // same as the points we will triangulate.
  vtkSmartPointer<vtkPolyData> boundary =
   vtkSmartPointer<vtkPolyData>::New();
  boundary->SetPoints(aPolyData->GetPoints());
  boundary->SetPolys(aCellArray);
 
  // Triangulate the grid points
  vtkSmartPointer<vtkDelaunay2D> delaunay =
   vtkSmartPointer<vtkDelaunay2D>::New();
#if VTK_MAJOR_VERSION <= 5
  delaunay->SetInput(aPolyData);
  delaunay->SetSource(boundary);
#else
  delaunay->SetInputData(aPolyData);
  delaunay->SetSourceData(boundary);
#endif
  delaunay->Update();
 
  // Visualize
  vtkSmartPointer<vtkPolyDataMapper> meshMapper =
    vtkSmartPointer<vtkPolyDataMapper>::New();
  meshMapper->SetInputConnection(delaunay->GetOutputPort());
 
  vtkSmartPointer<vtkActor> meshActor =
    vtkSmartPointer<vtkActor>::New();
  meshActor->SetMapper(meshMapper);
  //meshActor->GetProperty()->SetEdgeColor(0,0,1); // Why aren't the edges aren't visible unless we set the representation to wireframe?
  //meshActor->GetProperty()->SetInterpolationToFlat();
  meshActor->GetProperty()->SetRepresentationToWireframe();
 
  vtkSmartPointer<vtkPolyDataMapper> boundaryMapper =
    vtkSmartPointer<vtkPolyDataMapper>::New();
#if VTK_MAJOR_VERSION <= 5
  boundaryMapper->SetInputConnection(boundary->GetProducerPort());
#else
  boundaryMapper->SetInputData(boundary);
#endif
 
  vtkSmartPointer<vtkActor> boundaryActor =
    vtkSmartPointer<vtkActor>::New();
  boundaryActor->SetMapper(boundaryMapper);
  boundaryActor->GetProperty()->SetColor(1,0,0);
 
  // Create a renderer, render window, and interactor
  vtkSmartPointer<vtkRenderer> renderer =
    vtkSmartPointer<vtkRenderer>::New();
  vtkSmartPointer<vtkRenderWindow> renderWindow =
    vtkSmartPointer<vtkRenderWindow>::New();
  renderWindow->AddRenderer(renderer);
  vtkSmartPointer<vtkRenderWindowInteractor> renderWindowInteractor =
    vtkSmartPointer<vtkRenderWindowInteractor>::New();
  renderWindowInteractor->SetRenderWindow(renderWindow);
 
  // Add the actor to the scene
  renderer->AddActor(meshActor);
  renderer->AddActor(boundaryActor);
  renderer->SetBackground(.3, .6, .3); // Background color green
 
  // Render and interact
  renderWindow->Render();
  renderWindowInteractor->Start();
 
  return EXIT_SUCCESS;
}

CMakeLists.txt

cmake_minimum_required(VERSION 2.6)
 
PROJECT(ConstrainedDelaunay)
 
FIND_PACKAGE(VTK REQUIRED)
INCLUDE(${VTK_USE_FILE})
 
ADD_EXECUTABLE(ConstrainedDelaunay ConstrainedDelaunay.cxx)
TARGET_LINK_LIBRARIES(ConstrainedDelaunay vtkHybrid)

Comments

Replace output image with div baseline.

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