CGAL 5.6.3 - 2D Conforming Triangulations and Meshes

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CGAL::Delaunay_mesh_criteria_2< CDT > Class Template Reference
2D Conforming Triangulations and Meshes Reference

`#include <CGAL/Delaunay_mesh_criteria_2.h>`

## Definition

template<typename CDT>
class CGAL::Delaunay_mesh_criteria_2< CDT >

The class `Delaunay_mesh_criteria_2` is a model for the `MeshingCriteria_2` concept.

The shape criterion on triangles is given by a bound \( B\) such that for good triangles \( \frac{r}{l} \le B\) where \( l\) is the shortest edge length and \( r\) is the circumradius of the triangle. By default, \( B=\sqrt{2}\), which is the best bound one can use with the guarantee that the refinement algorithm will terminate. The upper bound \( B\) is related to a lower bound \( \alpha_{min}\) on the minimum angle in the triangle:

\[ \sin{ \alpha_{min} } = \frac{1}{2 B} \]

so \( B=\sqrt{2}\) corresponds to \( \alpha_{min} \ge 20.7\) degrees.

Template Parameters

  CDT | must be a 2D constrained Delaunay triangulation.

Is Model Of:
  `MeshingCriteria_2`

## Creation
| Delaunay_mesh_criteria_2 ()
| Default constructor with bound \( B=\sqrt{2}\).
| Delaunay_mesh_criteria_2 (double b=0.125)
| Construct a traits class with bound \( B=\sqrt{\frac{1}{4 b}}\).