\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - 2D Conforming Triangulations and Meshes
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DelaunayMeshTraits_2 Concept Reference
Concepts

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

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.

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.