\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - Estimation of Local Differential Properties of Point-Sampled Surfaces

Definition

The concept LocalKernel describes the set of requirements to be fulfilled by any class used to instantiate the second template parameter of the class CGAL::Monge_via_jet_fitting<DataKernel,LocalKernel,SvdTraits>.

This concept provides the geometric primitives used for the computations in the class CGAL::Monge_via_jet_fitting.

Requirements

In the class CGAL::Monge_via_jet_fitting the scalar type, LocalKernel::FT, must be the same as that of the SvdTraits concept : SvdTraits::FT.

The type LocalKernel::FT is a model of the FieldWithSqrt concept.

Operations

The scalar type LocalKernel::FT must be a field type with a square root.

Only constructors (from 3 scalars and copy constructors) and access methods to coordinates x(), y(), z() are needed for the point and vector types.

Has Models:

CGAL::Cartesian<FieldNumberType>

CGAL::Simple_cartesian<FieldNumberType>

See also
DataKernel
SvdTraits

Types

typedef unspecified_type FT
 The scalar type.
 
typedef unspecified_type Point_3
 The point type.
 
typedef unspecified_type Vector_3
 The vector type.