 CGAL 4.7 - 2D Conforming Triangulations and Meshes
CGAL::Delaunay_mesh_criteria_2< CDT > Class Template Reference

#include <CGAL/Delaunay_mesh_criteria_2.h>

## Definition

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 $$B=\sqrt{\frac{1}{4 b}}$$.