geometric.h

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#ifndef AIMS_MESH_GEOMETRIC_H
#define AIMS_MESH_GEOMETRIC_H
 
#include <aims/mesh/texture.h>
#include <aims/mesh/surface.h>
#include <aims/mesh/mesh_graph.h>
#include <cartobase/smart/rcptr.h>
#include <list>
 
template <class T>
inline float sign(T x) 
{
  if (x>(T)0) return(1);
  else
    if (x<(T)0) return(-1);
    else
      return(0);
}
 
 
 
// Cross product between two 3D points
inline Point3df cross( const Point3df & a, const Point3df & b )
{
  
  Point3df n;
  n[0] = a[1]*b[2] - a[2]*b[1];
  n[1] = a[2]*b[0] - a[0]*b[2];
  n[2] = a[0]*b[1] - a[1]*b[0];
  return n;
}
 
// Cross product between two 2D points
inline float cross( const Point2df & a, const Point2df & b )
{
  return (a[0] * b[1]) - (a[1] * b[0]);
}
 
namespace aims
{
 
  class GeometricProperties 
  {
  public:
    typedef std::list<unsigned> Neighborhood;
    typedef std::vector< Neighborhood > NeighborList;
    typedef std::vector< std::list<float> > WeightNeighborList;
    typedef std::vector<float> WeightList;
    typedef typename
      meshgraph::MeshVertexNode<uint>::VertexIndexCollection::value_type
      VertexPointer;
 
    GeometricProperties( const AimsSurfaceTriangle & mesh );
    GeometricProperties( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~GeometricProperties();
 
    const WeightNeighborList & getPhi() const ;
    const WeightNeighborList & getTheta() const ;
    const WeightNeighborList & getDot() const ;
    const WeightNeighborList & getSurface() const ;
    const WeightList & getAlpha() const ;
    const WeightList & getSimpleAlpha() const ;
    const WeightList & getBeta() const ;
    const AimsSurfaceTriangle & getMesh() const;
    carto::rc_ptr<AimsSurfaceTriangle> getRcMesh();
    const NeighborList & getNeighbor() const;
    NeighborList & getNeighbor();
    const NeighborList & getTriangleNeighbor() const;
    NeighborList & getTriangleNeighbor();
    meshgraph::MeshGraphVertices & getVertices()
    { return _graphvertices; }
    const meshgraph::MeshGraphVertices & getVertices() const
    { return _graphvertices; }
    meshgraph::MeshGraphFaces & getFaces() { return _graphfaces; }
    const meshgraph::MeshGraphFaces & getFaces() const
    { return _graphfaces; }
 
//   protected:
    void doPhi();
    void doTheta();
    void doAlpha();
    void doSimpleAlpha();
    void doBeta();
    void doDot();
    void doSurface();
    void doNeighbor();
    void sortPolygons( Neighborhood &npoly );
    void buildSortVerticesNeighborhood( size_t i );
    void doGraph();
    void graphToMesh();
 
  private:
    const AimsSurfaceTriangle & _mesh;
    carto::rc_ptr<AimsSurfaceTriangle> _pmesh;
    NeighborList  _neighbourso ;
    NeighborList  _triangleNeighbourso ;
    WeightNeighborList  _phi ;
    WeightNeighborList _theta;
    WeightList          _alpha;       // this represents sum(l*l*cotan(alpha)) 
    WeightList          _simplealpha; // this is just sum(alpha)
    WeightList          _beta;
    WeightNeighborList          _dot;
    WeightNeighborList          _surface; 
    NeighborList doTriangleNeighbor() ;
    // using meshgraph
    meshgraph::MeshGraphVertices _graphvertices;
    meshgraph::MeshGraphFaces _graphfaces;
 
    friend class VertexRemover;
    
  };
  
  class Curvature : public GeometricProperties
  {
  public:
    Curvature( const AimsSurfaceTriangle & mesh );
    Curvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~Curvature();
    virtual Texture<float> doIt() = 0; //car defini dnas les classes derivees -> classe abstraite non instantiable
    static void regularize(Texture<float> & tex, float ratio); // pas lie a une instance de la classe
    static void getTextureProperties(const Texture<float> & tex); // pas lie a une instance de la classe
  };
 
  class CurvatureFactory
  {
  public:
    Curvature * createCurvature( const AimsSurfaceTriangle & mesh,
                                 const std::string & method );
    Curvature * createCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh,
                                 const std::string & method );
 
  };
 
  class FiniteElementCurvature : public Curvature
  {
  public:
    FiniteElementCurvature( const AimsSurfaceTriangle & mesh );
    FiniteElementCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~FiniteElementCurvature();
    virtual Texture<float> doIt();  
  };
 
  
  // All these are Mean Curvature estimates
  
  class BoixCurvature : public Curvature
  {
  public:
    BoixCurvature( const AimsSurfaceTriangle & mesh );
    BoixCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~BoixCurvature();
    virtual Texture<float> doIt();  
  };
 
  class BarycenterCurvature : public Curvature
  {
  public:
    BarycenterCurvature( const AimsSurfaceTriangle & mesh );
    BarycenterCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~BarycenterCurvature();
    virtual Texture<float> doIt();  
  };
  
  // This is a Gaussian Curvature estimate
  
  class BoixGaussianCurvature : public Curvature
  {
  public:
    BoixGaussianCurvature( const AimsSurfaceTriangle & mesh );
    BoixGaussianCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~BoixGaussianCurvature();
    virtual Texture<float> doIt();  
  };
 
  // This is another Gaussian Curvature estimate (from aims-til/Cathier)
 
  class GaussianCurvature : public Curvature
  {
  public:
    GaussianCurvature( const AimsSurfaceTriangle & mesh );
    GaussianCurvature( carto::rc_ptr<AimsSurfaceTriangle> mesh );
    virtual ~GaussianCurvature();
    virtual Texture<float> doIt();
    void localProcess( size_t i_vert, float & gaussianCurvature,
                       float & meanCurvature,
                       std::pair<float, float> & principalCurvatures,
                       float & orientedMeanCurvature,
                       float & orientedGaussianCurvature,
                       Point3df & normal, float & voronoiArea );
    void localProcess( const VertexPointer & i,
                       float & gaussianCurvature,
                       float & meanCurvature,
                       std::pair<float, float> & principalCurvatures,
                       float & orientedMeanCurvature,
                       float & orientedGaussianCurvature,
                       Point3df & normal, float & voronoiArea );
  };
 
 
  class VertexRemover
  {
  public: // typedefs
 
    typedef typename meshgraph::MeshVertexNode<uint>::VertexIndexCollection::value_type
      VertexPointer;
 
    // constructors
 
    VertexRemover( carto::rc_ptr<GeometricProperties> geom );
    VertexRemover( carto::rc_ptr<AimsSurfaceTriangle> mesh );
 
    // set & get
 
    const GeometricProperties & geometricProperties() const
    { return *_geom; }
    GeometricProperties & geometricProperties() { return *_geom; }
 
    // functions
 
//     bool operator()( size_t i );
    bool operator()( VertexPointer & i );
 
  private: // functions
 
  // NB: neighbors should be a std::vector so far
  //   template < typename Neighborhood >
  std::vector<Point2df>
  simple_neighborhood_flattening(
    const Point3df & point,
    const GeometricProperties::Neighborhood & neighbors );
 
  std::vector<Point2df>
  simple_neighborhood_flattening(
    const Point3df & point,
    const std::vector<VertexPointer> & neighbors );
 
    // data, input
    carto::rc_ptr<GeometricProperties> _geom;
 
  };
 
 
  std::list<AimsVector<uint, 3> >
  simple_delaunay_triangulation( const std::vector<Point2df> & points );
 
}
 
 
 
#endif