Triangulated Surface Mesh Deformation Reference

Sébastien Loriot, Olga Sorkine-Hornung, Yin Xu, and Ilker O. Yaz

This package offers surface mesh deformation algorithms which provide new positions to the vertices of a surface mesh under positional constraints of some of its vertices, without requiring any additional structure other than the surface mesh itself.

Introduced in: CGAL 4.5
Depends on: CGAL and Solvers and Eigen
BibTeX: cgal:lsxy-tsmd-24b
License: GPL
Windows Demo: CGAL Lab

Classified Reference Pages

Main Class

• #CGAL::Surface_mesh_deformation

Concepts

• DeformationClosestRotationTraits_3
• RawPoint_3
• SurfaceMeshDeformationWeights

Algebraic Traits

• #CGAL::Deformation_Eigen_closest_rotation_traits_3
• #CGAL::Deformation_Eigen_polar_closest_rotation_traits_3

Modules
	Concepts

Classes
class	CGAL::Deformation_Eigen_closest_rotation_traits_3
	A class to compute the closest rotation in Frobenius norm to a 3x3 Matrix using the Eigen library . More...
class	CGAL::Deformation_Eigen_polar_closest_rotation_traits_3
	A class to compute the closest rotation in Frobenius norm to a 3x3 Matrix using the Eigen library . More...
class	CGAL::Surface_mesh_deformation< TM, VIM, HIM, TAG, WC, ST, CR, VPM >
	Class providing the functionalities for deforming a triangulated surface mesh. More...

Enumerations
enum	CGAL::Deformation_algorithm_tag { CGAL::ORIGINAL_ARAP , CGAL::SPOKES_AND_RIMS , CGAL::SRE_ARAP }
	Deformation algorithm type. More...

Enumeration Type Documentation

Deformation_algorithm_tag

enum CGAL::Deformation_algorithm_tag

#include <CGAL/Surface_mesh_deformation.h>

Deformation algorithm type.

Enumerator
ORIGINAL_ARAP	use original as-rigid-as possible algorithm
SPOKES_AND_RIMS	use spokes and rims version of as-rigid-as possible algorithm
SRE_ARAP	use smooth rotation enhanced As-rigid-as-possible