CGAL 5.4.4 - 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 <map>
#include <queue>
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>::edge_descriptor edge_descriptor;
typedef Eigen::Vector3d Vector3d;
typedef CGAL::Surface_mesh_deformation<Polyhedron> Surface_mesh_deformation;
// Collect the vertices which are at distance less or equal to k
// from the vertex v in the graph of vertices connected by the edges of P
std::vector<vertex_descriptor> extract_k_ring(const Polyhedron &P, vertex_descriptor v, int k)
std::map<vertex_descriptor, int> D;
std::vector<vertex_descriptor> Q;
Q.push_back(v); D[v] = 0;
std::size_t current_index = 0;
int dist_v;
while( current_index < Q.size() && (dist_v = D[ Q[current_index] ]) < k ) {
v = Q[current_index++];
for(edge_descriptor e : out_edges(v, P))
halfedge_descriptor he = halfedge(e, P);
vertex_descriptor new_v = target(he, P);
if(D.insert(std::make_pair(new_v, dist_v + 1)).second) {
return Q;
int main()
Polyhedron mesh;
std::ifstream input(CGAL::data_file_path("meshes/"));
if ( !input || !(input >> mesh) || mesh.empty() ) {
std::cerr<< "Cannot open data/";
return 1;
// Init the indices of the halfedges and the vertices.
// Create the deformation object
Surface_mesh_deformation deform_mesh(mesh);
// Select and insert the vertices of the region of interest
vertex_iterator vb, ve;
boost::tie(vb,ve) = vertices(mesh);
std::vector<vertex_descriptor> roi = extract_k_ring(mesh, *std::next(vb, 47), 9);
deform_mesh.insert_roi_vertices(roi.begin(), roi.end());
// Select and insert the control vertices
std::vector<vertex_descriptor> cvertices_1 = extract_k_ring(mesh, *std::next(vb, 39), 1);
std::vector<vertex_descriptor> cvertices_2 = extract_k_ring(mesh, *std::next(vb, 97), 1);
deform_mesh.insert_control_vertices(cvertices_1.begin(), cvertices_1.end());
deform_mesh.insert_control_vertices(cvertices_2.begin(), cvertices_2.end());
// Apply a rotation to the control vertices
Eigen::Quaternion<double> quad(0.92, 0, 0, -0.38);
deform_mesh.rotate(cvertices_1.begin(), cvertices_1.end(), Vector3d(0,0,0), quad);
deform_mesh.rotate(cvertices_2.begin(), cvertices_2.end(), Vector3d(0,0,0), quad);
// Save the deformed mesh
std::ofstream output("");
output << mesh;
// Restore the positions of the vertices
// Apply a translation on the original positions of the vertices (reset() was called before)
deform_mesh.translate(cvertices_1.begin(), cvertices_1.end(), Vector3d(0,0.3,0));
deform_mesh.translate(cvertices_2.begin(), cvertices_2.end(), Vector3d(0,0.3,0));
// Call the function deform() with one-time parameters:
// iterate 10 times and do not use energy based termination criterion
// Save the deformed mesh"");
output << mesh;