DiffGeoT.hh

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//=============================================================================
//
//  CLASS DiffGeoT
//
//=============================================================================


#ifndef DIFFGEO_HH
#define DIFFGEO_HH


//== INCLUDES =================================================================

#include <OpenMesh/Core/Utils/Property.hh>


//== NAMESPACES ===============================================================

namespace Remeshing {

//== CLASS DEFINITION =========================================================


template <class Mesh>
class DiffGeoT
{
public:

  typedef typename Mesh::Scalar        Scalar;
  typedef typename Mesh::VertexHandle  VertexHandle;

   
  DiffGeoT(Mesh& _mesh);
  ~DiffGeoT();


  void compute(unsigned int _post_smoothing_iters=0);

  void compute_edge_weights();
  void compute_area();
  void compute_gauss_curvature();
  void compute_mean_curvature();
  void post_smoothing(unsigned int _iters);


  Scalar compute_area(VertexHandle _vh) const;


  Scalar area(VertexHandle _vh) const { 
    return mesh_.property(area_, _vh);
  }

  Scalar gauss_curvature(VertexHandle _vh) const {
    return mesh_.property(gauss_curvature_, _vh);
  }

  Scalar mean_curvature(VertexHandle _vh) const { 
    return mesh_.property(mean_curvature_, _vh);
  }

  Scalar min_curvature(VertexHandle _vh) const { 
    const Scalar zero(0.0);
    Scalar H = mean_curvature(_vh);
    Scalar K = gauss_curvature(_vh);
    return H - sqrt(std::max(zero, H*H-K));
  }
  
  Scalar max_curvature(VertexHandle _vh) const { 
    const Scalar zero(0.0);
    Scalar H = mean_curvature(_vh);
    Scalar K = gauss_curvature(_vh);
    return H + sqrt(std::max(zero, H*H-K));
  }


private:

  Mesh&  mesh_;

  OpenMesh::VPropHandleT<Scalar>   area_;
  OpenMesh::VPropHandleT<Scalar>   gauss_curvature_;
  OpenMesh::VPropHandleT<Scalar>   mean_curvature_;
  OpenMesh::EPropHandleT<Scalar>   edge_weight_;

  bool weights_computed_, area_computed_;
};


//=============================================================================
} // namespace Remeshing
//=============================================================================
#if defined(INCLUDE_TEMPLATES) && !defined(DIFFGEOT_C)
#define DIFFGEO_TEMPLATES
#include "DiffGeoT.cc"
#endif
//=============================================================================
#endif // DIFFGEO_HH defined
//=============================================================================