Singularities.hpp

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#pragma once
 
#include <geogram/mesh/mesh.h>
#include <Eigen/Dense>
#include <vector>
 
namespace polyfem
{
 
    namespace mesh
    {
        //
        // Compute singular vertices in a polygonal mesh.
        //
        // @param[in]  M                Input surface mesh
        // @param[out] V                List of singular vertices
        // @param[in]  regular_degree  { Degree of regular vertices (3 for triangle
        //                             meshes, 4 for quad mesh)
        // @param[in]  ignore_border    Mark vertices on the border as well
        //
        void singular_vertices(const GEO::Mesh &M, Eigen::VectorXi &V, int regular_degree = 4, bool ignore_border = true);
 
        //
        // Compute singular edges in a polygonal mesh.
        //
        // @param[in]  M      Input surface mesh
        // @param[in]  V      List of singular vertices
        // @param[out] E      List of edges connecting singular vertices
        //
        void singular_edges(const GEO::Mesh &M, const Eigen::VectorXi &V, Eigen::MatrixX2i &E);
 
        //
        // Compute singularity graph in a polygonal mesh.
        //
        // @param[in]  M                Input surface mesh
        // @param[out] V                List of singular vertices
        // @param[out] E                List of edges connecting singular vertices
        // @param[in]  regular_degree  { Degree of regular vertices (3 for triangle
        //                             meshes, 4 for quad mesh)
        // @param[in]  ignore_border    Mark vertices on the border as well
        //
        void singularity_graph(const GEO::Mesh &M, Eigen::VectorXi &V, Eigen::MatrixX2i &E, int regular_degree = 4, bool ignore_border = true);
 
        //
        // Creates polygonal patches around singularities specified in the form of a
        // graph.
        //
        // @param[in,out] M     { Surface mesh to modify }
        // @param[in]     V      List of singular vertices
        // @param[in]     E      List of singular edges
        // @param[in]     t     { Interpolation parameter to place the subdivided
        //                      vertices around the singularities (between 0 and 1) }
        //
        void create_patch_around_singularities(GEO::Mesh &M, const Eigen::VectorXi &V, const Eigen::MatrixX2i &E, double t = 0.5);
    } // namespace mesh
} // namespace polyfem