CGAL 5.3 - Triangulated Surface Mesh Deformation
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Polyhedron_items_with_id_3.h>
#include <CGAL/Surface_mesh_deformation.h>
#include <fstream>
#include <iostream>
typedef boost::graph_traits<Polyhedron>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<Polyhedron>::vertex_iterator vertex_iterator;
typedef CGAL::Surface_mesh_deformation<Polyhedron> Surface_mesh_deformation;
int main()
Polyhedron mesh;
std::ifstream input("data/");
if ( !input || !(input >> mesh) || mesh.empty() ) {
std::cerr<< "Cannot open data/" << std::endl;
return 1;
// Init the indices of the halfedges and the vertices.
// Create a deformation object
Surface_mesh_deformation deform_mesh(mesh);
// Definition of the region of interest (use the whole mesh)
vertex_iterator vb,ve;
boost::tie(vb, ve) = vertices(mesh);
deform_mesh.insert_roi_vertices(vb, ve);
// Select two control vertices ...
vertex_descriptor control_1 = *std::next(vb, 213);
vertex_descriptor control_2 = *std::next(vb, 157);
// ... and insert them
// The definition of the ROI and the control vertices is done, call preprocess
bool is_matrix_factorization_OK = deform_mesh.preprocess();
std::cerr << "Error in preprocessing, check documentation of preprocess()" << std::endl;
return 1;
// Use set_target_position() to set the constained position
// of control_1. control_2 remains at the last assigned positions
Surface_mesh_deformation::Point constrained_pos_1(-0.35, 0.40, 0.60);
deform_mesh.set_target_position(control_1, constrained_pos_1);
// Deform the mesh, the positions of vertices of 'mesh' are updated
// The function deform() can be called several times if the convergence has not been reached yet
// Set the constained position of control_2
Surface_mesh_deformation::Point constrained_pos_2(0.55, -0.30, 0.70);
deform_mesh.set_target_position(control_2, constrained_pos_2);
// Call the function deform() with one-time parameters:
// iterate 10 times and do not use energy based termination criterion
deform_mesh.deform(10, 0.0);
// Save the deformed mesh into a file
std::ofstream output("");
output << mesh;
// Add another control vertex which requires another call to preprocess
vertex_descriptor control_3 = *std::next(vb, 92);
// The prepocessing step is again needed
std::cerr << "Error in preprocessing, check documentation of preprocess()" << std::endl;
return 1;
// Deform the mesh
Surface_mesh_deformation::Point constrained_pos_3(0.55, 0.30, -0.70);
deform_mesh.set_target_position(control_3, constrained_pos_3);
deform_mesh.deform(15, 0.0);"");
output << mesh;