CGAL::Delaunay_mesh_size_criteria_2<CDT>

Definition

The class Delaunay_mesh_size_criteria_2<CDT> is a model for the MeshingCriteria_2 concept. The shape criterion on triangles is given by a bound $$B such that for good triangles $$(r)/(l) 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 $$_min on the minimum angle in the triangle:

$$ sin$$ _min = (1)/(2 B)

so $$B=sqrt(2) corresponds to $$_min 20.7 degrees.

This traits class defines also a size criteria: all segments of all triangles must be shorter than a bound $$S.

#include <CGAL/Delaunay_mesh_size_criteria_2.h>

Is Model for the Concepts

MeshingCriteria_2

Creation

Delaunay_mesh_size_criteria_2<CDT> traits;
	Default constructor. $$B=sqrt(2). No bound on size
Delaunay_mesh_size_criteria_2<CDT> traits ( double b = 0.125, double S = 0);
	Construct a traits class with bound $$B=sqrt((1)/(4 b)). If $$S 0, the size bound is $$S. If $$S = 0, there is no bound on size.