Local non-planarity of three dimensional surfaces for an invertible reconstruction: k-cuspal cells

Marc Rodriguez (1) , Gaëlle Largeteau-Skapin (1) , Eric Andres (1)

1 SIC

This paper addresses the problem of the maximal recognition of hyperplanes for an invertible reconstruction of 3D discrete objects. k- cuspal cells are introduced as a three dimensional extension of discrete cusps defined by R.Breton. With k-cuspal cells local non planarity on discrete surfaces can be identified in a very straightforward way.

Mots clés: discrete geometry; reconstruction; planarity.; planarity

Domaines: Mathématique discrète [cs.DM]; Modélisation et simulation

Marc Rodriguez, Gaëlle Largeteau-Skapin, Eric Andres. Local non-planarity of three dimensional surfaces for an invertible reconstruction: k-cuspal cells. 4th International Symposium, ISVC 2008, Dec 2008, Las Vegas, United States. pp.925-934, ⟨10.1007/978-3-540-89639-5_88⟩. ⟨hal-00346199⟩