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Extract Vertex on Mesh Boundaries

Synopsis

Print the vertices in order which lie on each boundary of a given mesh.

Results

Input mesh

Interactive input mesh

Example output:

There are 1 borders on this mesh
0: 684 -> 3848 -> 955 -> 1643 -> 4340 -> 178 -> 1160 -> 6650 -> 3539 -> 523 ->
6052 -> 9 -> 7619 -> 2876 -> 4010 -> 102 -> 1451 -> 557 -> 5658 -> 3326 -> 4606
-> 1154 -> 4584 -> 5553 -> 6739 -> 1725 -> 7207 -> 3978 -> 3116 -> 7770 -> 2293
-> 3285 -> 2215 -> 6505 -> 7128 -> 7973 -> 6479 -> 3292 -> 3719 -> 3111 -> 6566
-> 1227 -> 3410 -> 3418 -> 7208 -> 5732 -> 7203 -> 645 -> 314 -> 7872 -> 6941
-> 5076 -> 1965 -> 2017 -> 3235 -> 3801 -> 4754 -> 1348 -> 2390 -> 7367 -> 6319
-> 5458 -> 7572 -> 151 -> 4095 -> 3873 -> 7336 -> 7260 -> 2112 -> 6373 -> 1664
-> 7247 -> 7661 -> 5790 -> 1698 -> 572 -> 5783 -> 3042 -> 5259 -> 7802 -> 6192
-> 894 -> 4545 -> 1298 -> 684

Code

C++

#include "itkQuadEdgeMesh.h"
#include "itkVTKPolyDataReader.h"
#include "itkQuadEdgeMeshBoundaryEdgesMeshFunction.h"

int
main(int argc, char * argv[])
{
  if (argc != 2)
  {
    std::cerr << "Usage: " << argv[0] << " <InputFileName>" << std::endl;
    return EXIT_FAILURE;
  }

  constexpr unsigned int Dimension = 3;
  using CoordType = double;

  using MeshType = itk::QuadEdgeMesh<CoordType, Dimension>;
  using VTKReaderType = itk::VTKPolyDataReader<MeshType>;

  auto reader = VTKReaderType::New();
  reader->SetFileName(argv[1]);

  try
  {
    reader->Update();
  }
  catch (const itk::ExceptionObject & e)
  {
    std::cerr << e.what() << std::endl;
    return EXIT_FAILURE;
  }

  MeshType::Pointer mesh = reader->GetOutput();

  using BoundaryExtractorType = itk::QuadEdgeMeshBoundaryEdgesMeshFunction<MeshType>;

  auto extractor = BoundaryExtractorType::New();

  using MeshPointIdentifier = MeshType::PointIdentifier;

  using MeshQEType = MeshType::QEType;
  using MeshIteratorGeom = MeshQEType::IteratorGeom;

  using EdgeListType = MeshType::EdgeListType;
  using EdgeListPointer = MeshType::EdgeListPointerType;
  using EdgeListIterator = EdgeListType::iterator;

  EdgeListPointer list = extractor->Evaluate(*mesh);

  if (list->empty())
  {
    std::cerr << "There is no border on this mesh" << std::endl;
    return EXIT_FAILURE;
  }

  std::cout << "There are " << list->size() << " borders on this mesh" << std::endl;

  auto                   it = list->begin();
  const EdgeListIterator end = list->end();

  size_t i = 0;
  while (it != end)
  {
    std::cout << i << ": ";

    MeshIteratorGeom       eIt = (*it)->BeginGeomLnext();
    const MeshIteratorGeom eEnd = (*it)->EndGeomLnext();

    MeshPointIdentifier id = MeshType::m_NoPoint;

    while (eIt != eEnd)
    {
      MeshQEType * qe = eIt.Value();

      if (qe->GetOrigin() != id)
      {
        std::cout << qe->GetOrigin();
      }

      id = qe->GetDestination();

      std::cout << " -> " << id;
      ++eIt;
    }

    std::cout << std::endl;

    ++it;
  }

  return EXIT_SUCCESS;
}

Classes demonstrated

template<typename TMesh>
class QuadEdgeMeshBoundaryEdgesMeshFunction : public itk::FunctionBase<TMesh, TMesh::EdgeListPointerType>

Build a list of references to edges (as GeometricalQuadEdge::RawPointer) each one representing a different boundary component.

Note

Each resulting edge has the surface on its right and is hence ready for a walk on with the help of BeginGeomLnext().

Note

The size() of the resulting list is the number of boundary components.

See itk::QuadEdgeMeshBoundaryEdgesMeshFunction for additional documentation.