CGAL 6.2 - 2D Conforming Triangulations and Meshes: DelaunayMeshTraits_2 Concept Reference

CGAL 6.2 - 2D Conforming Triangulations and Meshes

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List of all members | Public Types
DelaunayMeshTraits_2 Concept Reference
Reference Manual » Concepts

## 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>`

## Public Types
typedef unspecified_type | Construct_bbox_2
| Constructor object.

## 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 ()
Construct_bbox_2 | construct_bbox_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_bbox_2

typedef unspecified_type DelaunayMeshTraits_2::Construct_bbox_2

Constructor object.

Must provide an operator `CGAL::Bbox_2 operator()(Point_2 p);` that constructs the bounding box of the point `p`.

## ◆ 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.