CGAL 5.6.1 - 2D Conforming Triangulations and Meshes
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:

Any model of the Kernel concept. In particular, all CGAL kernels

CGAL::Projection_traits_xy_3<K>

Types

typedef unspecified_type Construct_circumcenter_2
 Constructor object. More...
 
typedef unspecified_type Compute_area_2
 Constructor object. More...
 

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

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

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.