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

CGAL 4.8 - Triangulated Surface Mesh Deformation

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Surface_mesh_deformation/custom_weight_for_edges_example.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/IO/Polyhedron_iostream.h>
// HalfedgeGraph adapters for Polyhedron_3
#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>
#include <CGAL/boost/graph/properties_Polyhedron_3.h>
#include <CGAL/Surface_mesh_deformation.h>
#include <fstream>
#include <map>
#include <CGAL/property_map.h>
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;
typedef std::map<vertex_descriptor, std::size_t> Internal_vertex_map;
typedef std::map<halfedge_descriptor, std::size_t> Internal_hedge_map;
typedef boost::associative_property_map<Internal_vertex_map> Vertex_index_map;
typedef boost::associative_property_map<Internal_hedge_map> Hedge_index_map;
// A model of SurfaceMeshDeformationWeights using a map of pre-computed weights
struct Weights_from_map
{
typedef Polyhedron Halfedge_graph;
Weights_from_map(std::map<halfedge_descriptor, double>* weight_map) : weight_map(weight_map)
{ }
template<class VertexPointMap>
double operator()(halfedge_descriptor e, Polyhedron& /*P*/, VertexPointMap /*vpm*/) {
return (*weight_map)[e];
}
std::map<halfedge_descriptor, double>* weight_map;
};
typedef CGAL::Surface_mesh_deformation<Polyhedron, Vertex_index_map, Hedge_index_map, CGAL::ORIGINAL_ARAP, Weights_from_map> 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" << std::endl;
return 1;
}
std::map<halfedge_descriptor, double> weight_map;
// Store all the weights
halfedge_iterator eb, ee;
for(boost::tie(eb, ee) = halfedges(mesh); eb != ee; ++eb)
{
weight_map[*eb] = 1.0; // store some precomputed weights
}
// Create and initialize the vertex index map
Internal_vertex_map internal_vertex_index_map;
Vertex_index_map vertex_index_map(internal_vertex_index_map);
vertex_iterator vb, ve;
std::size_t counter = 0;
for(boost::tie(vb, ve) = vertices(mesh); vb != ve; ++vb, ++counter) {
put(vertex_index_map, *vb, counter);
}
// Create and initialize the halfedge index map
Internal_hedge_map internal_hedge_index_map;
Hedge_index_map hedge_index_map(internal_hedge_index_map);
counter = 0;
for(boost::tie(eb, ee) = halfedges(mesh); eb != ee; ++eb, ++counter) {
put(hedge_index_map, *eb, counter);
}
Surface_mesh_deformation deform_mesh(mesh,
vertex_index_map,
hedge_index_map,
get(CGAL::vertex_point, mesh),
Weights_from_map(&weight_map));
// Deform mesh as desired
// .....
}