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