DelaunayMeshTraits_2 Concept Reference

Definition

The concept DelaunayMeshTraits_2 refines the concept ConformingDelaunayTriangulationTraits_2. It provides a construction object Construct_circumcenter_2.

Refines

ConformingDelaunayTriangulationTraits_2

Has models

All models of the CGAL concept Kernel

CGAL::Projection_traits_xy_3<K>

Types
typedef unspecified_type	Construct_circumcenter_2
	Constructor object.
typedef unspecified_type	Compute_area_2
	Constructor object.

Access to predicate and constructor objects
Construct_circumcenter_2	construct_circumcenter_2_object ()
Compute_area_2	compute_area_2_object ()

Member Typedef Documentation

Compute_area_2

typedef unspecified_type DelaunayMeshTraits_2::Compute_area_2

Constructor object.

Must provide an operator FT operator()(Point_2 p, Point_2 q, Point_2 r); that computes the signed area of the triangle defined by the points p, q, and r.

Construct_circumcenter_2

typedef unspecified_type DelaunayMeshTraits_2::Construct_circumcenter_2

Constructor object.

Must provide an operator Point_2 operator()(Point_2 p, Point_2 q, Point_2 r); that constructs the center of the circle passing through the points p, q, and r.

Precondition

p, q, and r are not collinear.