VTK/Polyhedron Support

Goals:

• Add support for arbitrary polyhedral cell (manifold, watertight, may be concave)
• Develop smooth interpolation functions for polyhedron
• Create filters, examples and testing infrastructure supporting this technology

Summary of Implementation Plan:

• Identify interpolation functions
  • Mean Value Coordinates (paper by Tao Ju et al.)
  • For triangle meshes as well as arbitrary polyhedron
• Implement interpolation functions & filters
  • vtkMeanValueCoordinatesInterpolator
  • vtkProbePolyhedron
  • vtkDeformPointSet
• Polyhedron cell support
  • vtkPolyhedron - more complex cell in that it requires explicit face representation
  • vtkUnstructuredGrid - modified to support polyhedron cell, new InsertNextCell() and related methods
  • vtkGenericCell expanded to include vtkPolyhedron
  • vtkCellTypes.h has new #define VTK_POLYHEDRON