Estimation of Local Differential Properties of Point-Sampled Surfaces Reference

Marc Pouget and Frédéric Cazals

For a surface discretized as a point cloud or a mesh, it is desirable to estimate pointwise differential quantities. More precisely, first order properties correspond to the normal or the tangent plane; second order properties provide the principal curvatures and directions, third order properties provide the directional derivatives of the principal curvatures along the curvature lines, etc. This package allows the estimation of local differential quantities of a surface from a point sample.

Introduced in: CGAL 3.3
Depends on: Solvers from Eigen.
BibTeX: cgal:pc-eldp-14b
License: GPL
Windows Demo: Operations on Polyhedra
Common Demo Dlls: dlls

Classified Reference Pages

Concepts

• DataKernel
• LocalKernel
• SvdTraits

Classes

• CGAL::Monge_via_jet_fitting< DataKernel, LocalKernel, SvdTraits>::Monge_form
• CGAL::Monge_via_jet_fitting<DataKernel, LocalKernel, SvdTraits>
• CGAL::Eigen_svd

Global Functions

The insert operator (operator<< ) is overloaded for the class Monge_form .

Modules
	Concepts

Classes
class	CGAL::Eigen_svd
	The class Eigen_svd provides an algorithm to solve in the least square sense a linear system with a singular value decomposition using Eigen. More...
class	CGAL::Monge_via_jet_fitting< DataKernel, LocalKernel, SvdTraits >
	The class Monge_via_jet_fitting is designed to perform the estimation of the local differential quantities at a given point. More...
class	CGAL::Monge_via_jet_fitting< DataKernel, LocalKernel, SvdTraits >::Monge_form
	The class Monge_form stores the Monge representation, i.e., the Monge coordinate system and the coefficients of the Monge form in this system. More...