SurfaceMeshTraits_3 Concept Reference

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

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.