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

CGAL 4.8 - Estimation of Local Differential Properties of Point-Sampled Surfaces

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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: CGAL and Solvers
BibTeX: cgal:pc-eldp-16a
License: GPL
Windows Demo: Operations on Polyhedra
Common Demo Dlls: dlls

## Classified Reference Pages

## Concepts

- `DataKernel`
- `LocalKernel`

## Classes

- `CGAL::Monge_via_jet_fitting< DataKernel, LocalKernel, SvdTraits>::Monge_form`
- `CGAL::Monge_via_jet_fitting<DataKernel, LocalKernel, SvdTraits>`

## Global Functions

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

## Modules
| Concepts

## Classes
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...