CGAL 5.3 - 2D Conforming Triangulations and Meshes
CGAL::Delaunay_mesh_criteria_2< CDT > Class Template Reference

#include <CGAL/Delaunay_mesh_criteria_2.h>


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
CDTmust be a 2D constrained Delaunay triangulation.
Is Model Of:


 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 \( B=\sqrt{\frac{1}{4 b}}\).