\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Triangulated Surface Mesh Deformation

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Surface_mesh_deformation/deform_polyhedron_with_custom_pmap_example.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/IO/Polyhedron_iostream.h>
// Halfedge adaptors for Polyhedron_3
#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>
#include <CGAL/boost/graph/properties_Polyhedron_3.h>
#include <CGAL/property_map.h>
#include <CGAL/Surface_mesh_deformation.h>
#include <fstream>
typedef CGAL::Simple_cartesian<double> Kernel;
typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
typedef boost::graph_traits<Polyhedron>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<Polyhedron>::vertex_iterator vertex_iterator;
typedef boost::graph_traits<Polyhedron>::halfedge_descriptor halfedge_descriptor;
typedef boost::graph_traits<Polyhedron>::halfedge_iterator halfedge_iterator;
// Define the maps
typedef std::map<vertex_descriptor, std::size_t> Vertex_id_map;
typedef std::map<halfedge_descriptor, std::size_t> Hedge_id_map;
typedef boost::associative_property_map<Vertex_id_map> Vertex_id_pmap;
typedef boost::associative_property_map<Hedge_id_map> Hedge_id_pmap;
typedef CGAL::Surface_mesh_deformation<Polyhedron, Vertex_id_pmap, Hedge_id_pmap> Surface_mesh_deformation;
int main()
{
Polyhedron mesh;
std::ifstream input("data/plane.off");
if ( !input || !(input >> mesh) || mesh.empty() ) {
std::cerr<< "Cannot open data/plane.off";
return 1;
}
// Init the indices of the vertices from 0 to num_vertices(mesh)-1
Vertex_id_map vertex_index_map;
vertex_iterator vb, ve;
std::size_t counter = 0;
for(boost::tie(vb, ve) = vertices(mesh); vb != ve; ++vb, ++counter)
vertex_index_map[*vb]=counter;
// Init the indices of the halfedges from 0 to 2*num_edges(mesh)-1
Hedge_id_map hedge_index_map;
counter = 0;
halfedge_iterator eb, ee;
for(boost::tie(eb, ee) = halfedges(mesh); eb != ee; ++eb, ++counter)
hedge_index_map[*eb]=counter;
Surface_mesh_deformation deform_mesh( mesh,
Vertex_id_pmap(vertex_index_map),
Hedge_id_pmap(hedge_index_map) );
// Now deform mesh as desired
// .....
}