#include <polyfem/mesh/Mesh.hpp>
#include <polyfem/mesh/mesh3D/Mesh3D.hpp>
#include <geogram/mesh/mesh.h>
#include <Eigen/Dense>
#include <vector>
#include <memory>

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Namespaces
namespace	polyfem

namespace	polyfem::mesh

Functions
GEO::vec3	polyfem::mesh::mesh_vertex (const GEO::Mesh &M, GEO::index_t v)
	Retrieve a 3D vector with the position of a given vertex.

GEO::vec3	polyfem::mesh::facet_barycenter (const GEO::Mesh &M, GEO::index_t f)

GEO::index_t	polyfem::mesh::mesh_create_vertex (GEO::Mesh &M, const GEO::vec3 &p)

void	polyfem::mesh::compute_element_tags (const GEO::Mesh &M, std::vector< ElementType > &element_tags)
	Compute the type of each facet in a surface mesh.

void	polyfem::mesh::orient_normals_2d (GEO::Mesh &M)
	Orient facets of a 2D mesh so that each connected component has positive volume.

void	polyfem::mesh::reorder_mesh (Eigen::MatrixXd &V, Eigen::MatrixXi &F, const Eigen::VectorXi &C, Eigen::VectorXi &R)
	Reorder vertices of a mesh using color tags, so that vertices are ordered by increasing colors.

void	polyfem::mesh::signed_squared_distances (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F, const Eigen::MatrixXd &P, Eigen::VectorXd &D)
	Computes the signed squared distance from a list of points to a triangle mesh.

void	polyfem::mesh::to_geogram_mesh (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F, GEO::Mesh &M)
	Converts a triangle mesh to a Geogram mesh.

void	polyfem::mesh::from_geogram_mesh (const GEO::Mesh &M, Eigen::MatrixXd &V, Eigen::MatrixXi &F, Eigen::MatrixXi &T)
	Extract simplices from a Geogram mesh.

void	polyfem::mesh::to_geogram_mesh (const Mesh3D &mesh, GEO::Mesh &M)
	Converts a hex mesh to a Geogram mesh.

double	polyfem::mesh::signed_volume (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F)
	Compute the signed volume of a surface mesh.

void	polyfem::mesh::orient_closed_surface (const Eigen::MatrixXd &V, Eigen::MatrixXi &F, bool positive=true)
	Orient a triangulated surface to have positive volume.

void	polyfem::mesh::extract_polyhedra (const Mesh3D &mesh, std::vector< std::unique_ptr< GEO::Mesh > > &polys, bool triangulated=false)
	Extract polyhedra from a 3D volumetric mesh.

void	polyfem::mesh::tertrahedralize_star_shaped_surface (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F, const Eigen::RowVector3d &kernel, Eigen::MatrixXd &OV, Eigen::MatrixXi &OF, Eigen::MatrixXi &OT)
	Tetrahedralize a star-shaped mesh, with a given point in its kernel.

void	polyfem::mesh::sample_surface (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F, int num_samples, Eigen::MatrixXd &P, Eigen::MatrixXd *N=nullptr, int num_lloyd=10, int num_newton=10)
	Samples points on a surface.

void	polyfem::mesh::extract_parent_edges (const Eigen::MatrixXd &IV, const Eigen::MatrixXi &IE, const Eigen::MatrixXd &BV, const Eigen::MatrixXi &BE, Eigen::MatrixXi &OE)
	Extract a set of edges that are overlap with a set given set of parent edges, using vertices positions to discriminate.

void	polyfem::mesh::extract_triangle_surface_from_tets (const Eigen::MatrixXd &vertices, const Eigen::MatrixXi &tets, Eigen::MatrixXd &surface_vertices, Eigen::MatrixXi &tris)
	Extract triangular surface from a tetmesh.

bool	polyfem::mesh::read_surface_mesh (const std::string &mesh_path, Eigen::MatrixXd &vertices, Eigen::VectorXi &codim_vertices, Eigen::MatrixXi &codim_edges, Eigen::MatrixXi &faces)
	read a surface mesh

bool	polyfem::mesh::is_planar (const GEO::Mesh &M, const double tol=1e-5)
	Determine if the given mesh is planar (2D or tiny z-range).

int	polyfem::mesh::count_faces (const int dim, const Eigen::MatrixXi &cells)
	Count the number of boundary elements (triangles for tetmesh and edges for triangle mesh)

void	polyfem::mesh::generate_edges (GEO::Mesh &M)
	assing edges to M

Namespaces

Functions