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

CGAL 4.8 - Triangulated Surface Mesh Deformation

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Surface_mesh_deformation/all_roi_assign_example.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Polyhedron_items_with_id_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>
typedef CGAL::Simple_cartesian<double> Kernel;
typedef CGAL::Polyhedron_3<Kernel, CGAL::Polyhedron_items_with_id_3> Polyhedron;
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/plane.off");
if ( !input || !(input >> mesh) || mesh.empty() ) {
std::cerr<< "Cannot open data/plane.off" << std::endl;
return 1;
}
// Init the indices of the halfedges and the vertices.
set_halfedgeds_items_id(mesh);
// 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 = *CGAL::cpp11::next(vb, 213);
vertex_descriptor control_2 = *CGAL::cpp11::next(vb, 157);
// ... and insert them
deform_mesh.insert_control_vertex(control_1);
deform_mesh.insert_control_vertex(control_2);
// The definition of the ROI and the control vertices is done, call preprocess
bool is_matrix_factorization_OK = deform_mesh.preprocess();
if(!is_matrix_factorization_OK){
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
deform_mesh.deform();
// The function deform() can be called several times if the convergence has not been reached yet
deform_mesh.deform();
// 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("deform_1.off");
output << mesh;
output.close();
// Add another control vertex which requires another call to preprocess
vertex_descriptor control_3 = *CGAL::cpp11::next(vb, 92);
deform_mesh.insert_control_vertex(control_3);
// The prepocessing step is again needed
if(!deform_mesh.preprocess()){
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.open("deform_2.off");
output << mesh;
}