Marc Pouget and Frédéric Cazals

Global features related to curvature extrema encode important informations used in segmentation, registration, matching and surface analysis. Given pointwise estimations of local differential quantities, this package allows the approximation of differential features on a triangulated surface mesh. Such curvature related features are curves: ridges or crests, and points: umbilics.

Introduced in: CGAL 3.3
Depends on: Solvers from Eigen.
BibTeX: cgal:cp-arutsm-13b
License: GPL

Classified Reference Pages

Concepts

Enums

Classes

Global Functions

Modules
	Concepts

	Enums

Classes
class	CGAL::Ridge_approximation< TriangulatedSurfaceMesh, Vertex2FTPropertyMap, Vertex2VectorPropertyMap >
	The class `Ridge_approximation` computes the approximation of ridges of a triangular polyhedral surface. More...

class	CGAL::Ridge_line< TriangulatedSurfaceMesh >
	The class `Ridge_line` stores the description of a ridge line. More...

class	CGAL::Vertex2Data_Property_Map_with_std_map< TriangulatedSurfaceMesh >
	The class `Vertex2Data_Property_Map_with_std_map` is a model of the concepts `Vertex2FTPropertyMap` and `Vertex2VectorPropertyMap` to be used for `Ridge_approximation`. More...

struct	CGAL::Vertex2Data_Property_Map_with_std_map< TriangulatedSurfaceMesh >::Vertex_cmp

class	CGAL::Umbilic_approximation< TriangulatedSurfaceMesh, Vertex2FTPropertyMap, Vertex2VectorPropertyMap >
	The class `Umbilic_approximation` computes the approximation of umbilics on a triangular polyhedral surface. More...

class	CGAL::Umbilic< TriangulatedSurfaceMesh >
	The class `Umbilic` stores the description of an umbilic. More...

Functions
OutputIterator	CGAL::compute_crest_ridges (const TriangulatedSurfaceMesh &P, const Vertex2FTPropertyMap &vertex2k1_pm, const Vertex2FTPropertyMap &vertex2k2_pm, const Vertex2FTPropertyMap &vertex2b0_pm, const Vertex2FTPropertyMap &vertex2b3_pm, const Vertex2VectorPropertyMap &vertex2d1_pm, const Vertex2VectorPropertyMap &vertex2d2_pm, const Vertex2FTPropertyMap &vertex2P1_pm, const Vertex2FTPropertyMap &vertex2P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
	The function `compute_crest_ridges()` is a shortcut to the method of the same name of the class `Ridge_approximation`. More...

OutputIterator	CGAL::compute_max_ridges (const TriangulatedSurfaceMesh &P, const Vertex2FTPropertyMap &vertex2k1_pm, const Vertex2FTPropertyMap &vertex2k2_pm, const Vertex2FTPropertyMap &vertex2b0_pm, const Vertex2FTPropertyMap &vertex2b3_pm, const Vertex2VectorPropertyMap &vertex2d1_pm, const Vertex2VectorPropertyMap &vertex2d2_pm, const Vertex2FTPropertyMap &vertex2P1_pm, const Vertex2FTPropertyMap &vertex2P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
	The function `compute_max_ridges()` is a shortcut to the method of the same name of the class `Ridge_approximation`.

OutputIterator	CGAL::compute_min_ridges (const TriangulatedSurfaceMesh &P, const Vertex2FTPropertyMap &vertex2k1_pm, const Vertex2FTPropertyMap &vertex2k2_pm, const Vertex2FTPropertyMap &vertex2b0_pm, const Vertex2FTPropertyMap &vertex2b3_pm, const Vertex2VectorPropertyMap &vertex2d1_pm, const Vertex2VectorPropertyMap &vertex2d2_pm, const Vertex2FTPropertyMap &vertex2P1_pm, const Vertex2FTPropertyMap &vertex2P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
	The function `compute_min_ridges()` is a shortcut to the method of the same name of the class `Ridge_approximation`.

OutputIterator	CGAL::compute_umbilics (const TriangulatedSurfaceMesh &P, const Vertex2FTPropertyMap &vertex2k1_pm, const Vertex2FTPropertyMap &vertex2k2_pm, const Vertex2VectorPropertyMap &vertex2d1_pm, const Vertex2VectorPropertyMap &vertex2d2_pm, OutputIterator it, double size)
	The function `compute_umbilics()` is a shortcut to the method `compute()` of the class `Umbilic_approximation`.

Classified Reference Pages

Concepts

Enums

Classes

Global Functions

Modules

Classes

Functions