surface_mesh_geometry.h

/********************************************************************
 * Copyright (C) 2020-2021 by Liangliang Nan <liangliang.nan@gmail.com>
 * Copyright (C) 2011-2020 the Polygon Mesh Processing Library developers.
 *
 * The code in this file is adapted from the PMP (Polygon Mesh Processing
 * Library) with modifications.
 *      https://github.com/pmp-library/pmp-library
 * The original code was distributed under a MIT-style license, see
 *      https://github.com/pmp-library/pmp-library/blob/master/LICENSE.txt
 ********************************************************************/
 
#ifndef EASY3D_ALGO_SURFACE_MESH_GEOMETRY_H
#define EASY3D_ALGO_SURFACE_MESH_GEOMETRY_H
 
 
#include <easy3d/core/types.h>
#include <easy3d/core/surface_mesh.h>
 
 
namespace easy3d {
 
    namespace geom {

        float triangle_area(const SurfaceMesh *mesh, SurfaceMesh::Face f);

        float surface_area(const SurfaceMesh *mesh);

        float volume(const SurfaceMesh *mesh);

        vec3 centroid(const SurfaceMesh *mesh, SurfaceMesh::Face f);

        vec3 centroid(const SurfaceMesh *mesh);

        void dual(SurfaceMesh *mesh);

        double cotan_weight(const SurfaceMesh *mesh, SurfaceMesh::Edge e);

        double voronoi_area(const SurfaceMesh *mesh, SurfaceMesh::Vertex v);

        double voronoi_area_barycentric(const SurfaceMesh *mesh, SurfaceMesh::Vertex v);

        vec3 laplace(const SurfaceMesh *mesh, SurfaceMesh::Vertex v);

        double angle_sum(const SurfaceMesh *mesh, SurfaceMesh::Vertex v);

        struct VertexCurvature {
            VertexCurvature() : mean(0.0), gauss(0.0), max(0.0), min(0.0) {}
 
            float mean;  
            float gauss; 
            float max;   
            float min;   
        };

        VertexCurvature vertex_curvature(const SurfaceMesh *mesh, SurfaceMesh::Vertex v);
 
    }
 
} // namespace easy3d
 
 
#endif  // EASY3D_ALGO_SURFACE_MESH_GEOMETRY_H