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Apres avoir rappele quelques resultats sur les maillages de Voronoi et Delaunay, on prouve, sous certaines hypotheses, que toute triangulation d'un polygone peut etre modifiee par une suite de procedures de changement de diagonale afin d'obtenir une triangulation de Delaunay. On en deduit plusieurs caracterisations des triangulations de Delaunay

Diagonal swap procedures and characterizations of 2D-Delaunay triangulations