\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - 3D Surface Mesh Generation
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SurfaceMeshTraits_3 Concept Reference
3D Surface Mesh Generation Reference » Concepts

Definition

The concept SurfaceMeshTraits_3 describes the knowledge that is required on the surface to be meshed. A model of this concept implements an oracle that is able to tell whether a segment (or a ray, or a line) intersects the surface or not, and to compute some intersection points if any exists. The concept SurfaceMeshTraits_3 also includes a funcctor able to provide a small set of initial points on the surface.

Has Models:
CGAL::Surface_mesh_traits_generator_3::type
See also
CGAL::make_surface_mesh()

Types

typedef unspecified_type Point_3
 The type of points. More...
 
typedef unspecified_type Segment_3
 The type of segments.
 
typedef unspecified_type Ray_3
 The type of rays.
 
typedef unspecified_type Line_3
 The type of lines.
 
typedef unspecified_type Surface_3
 The surface type.
 
typedef unspecified_type Intersect_3
 A model of this type provides the operator. More...
 
typedef unspecified_type Construct_initial_points
 A model of this type provides the following operators to construct initial points on the surface: More...
 

Operations

The following functions give access to the construction objects:

Intersect_3 intersect_3_object ()
 
Construct_initial_points construct_initial_points_object ()
 

Member Typedef Documentation

◆ Construct_initial_points

typedef unspecified_type SurfaceMeshTraits_3::Construct_initial_points

A model of this type provides the following operators to construct initial points on the surface:

template <class OutputIteratorPoints>
OutputIteratorPoints operator()(OutputIteratorPoints pts)

which outputs a set of points on the surface,

template <class OutputIteratorPoints>
OutputIteratorPoints operator() (OutputIteratorPoints pts, int n)

which outputs a set of n points on the surface.

◆ Intersect_3

typedef unspecified_type SurfaceMeshTraits_3::Intersect_3

A model of this type provides the operator.

CGAL::Object operator()(Surface_3 surface, Type1 type1)

to compute the intersection of the surface with an object of type Type1 which may be Segment_3, Ray_3 or Line_3 .

◆ Point_3

typedef unspecified_type SurfaceMeshTraits_3::Point_3

The type of points.

This type is required to match the point type of the three dimensional embedding triangulation C2T3::Triangulation_3.