The class Delaunay_mesh_size_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:

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

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

Template Parameters

CDT	must be a 2D constrained Delaunay triangulation.

Is Model Of:

MeshingCriteria_2

Examples:

Mesh_2/mesh_class.cpp, Mesh_2/mesh_global.cpp, and Mesh_2/mesh_with_seeds.cpp.