MINIMAL SET OF CONSTRAINTS FOR 2D CONSTRAINED DELAUNAY RECONSTRUCTION
Olivier Devillers, Regina Estkowski, Pierre-Marie Gandoin, Ferrán Hurtado, Pedro A. Ramos, Vera Sacristán · International Journal of Computational Geometry & Applications · 2003
Given a triangulation T of n points in the plane, we are interested in the minimal set of edges in T such that T can be reconstructed from this set (and the vertices of T) using constrained Delaunay triangulation. We show that this minimal set is precisely the set of non locally Delaunay edges, and that its cardinality is less than or equal to n+i/2 (if i is the number of interior points in T), which is a tight bound.