Geogram  Version 1.9.1
A programming library of geometric algorithms
optimal_transport_on_surface.h
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39 
40 #ifndef H_EXPLORAGRAM_OPTIMAL_TRANSPORT_OPTIMAL_TRANSPORT_ON_SURFACE_H
41 #define H_EXPLORAGRAM_OPTIMAL_TRANSPORT_OPTIMAL_TRANSPORT_ON_SURFACE_H
42 
45 
53 namespace GEO {
54 
67  Mesh* omega,
68  index_t nb_points,
69  const double* points,
70  double* centroids,
71  Mesh* RVD=nullptr,
72  bool verbose=false
73  );
74 
75  /*********************************************************************/
76 
93  public OptimalTransportMap {
94  public:
102  Mesh* mesh,
103  const std::string& delaunay = "BPOW",
104  bool BRIO=false
105  );
106 
111 
115  void get_RVD(Mesh& M) override;
116 
120  void compute_Laguerre_centroids(double* centroids) override;
121 
127  double total_mesh_mass() const;
128 
129  protected:
133  void call_callback_on_RVD() override;
134  };
135 
136  /*********************************************************************/
137 }
138 
139 #endif
Represents a mesh.
Definition: mesh.h:2701
Computes semi-discrete optimal transport maps.
void get_RVD(Mesh &M) override
Computes a mesh with the restricted Voronoi diagram.
double total_mesh_mass() const
Gets the total mass of the mesh.
void call_callback_on_RVD() override
Calls the callback for each intersection between a Laguerre cell and a simplex of the background mesh...
OptimalTransportMapOnSurface(Mesh *mesh, const std::string &delaunay="BPOW", bool BRIO=false)
OptimalTransportOnSurface constructor.
void compute_Laguerre_centroids(double *centroids) override
Computes the centroids of the Laguerre cells.
~OptimalTransportMapOnSurface() override
OptimalTransportMap destructor.
Computes semi-discrete optimal transport maps.
#define EXPLORAGRAM_API
Linkage declaration for exploragram symbols.
Definition: defs.h:18
Included by all headers in exploragram.
Global Vorpaline namespace.
Definition: basic.h:55
geo_index_t index_t
The type for storing and manipulating indices.
Definition: numeric.h:329
void EXPLORAGRAM_API compute_Laguerre_centroids_on_surface(Mesh *omega, index_t nb_points, const double *points, double *centroids, Mesh *RVD=nullptr, bool verbose=false)
Computes the centroids of the Laguerre cells that correspond to optimal transport over a surface embe...
Base class for semi-discrete optimal transport.