Classification of non-manifold singularities from transformations of 2-manifolds

Jean-Claude Léon (1) , Leila de Floriani (2) , Franck Hétroy (3)

1 G-SCOP - Laboratoire des sciences pour la conception, l'optimisation et la production
2 DISI - Dipartimento di Informatica e Scienze dell'Informazione
3 EVASION - Virtual environments for animation and image synthesis of natural objects

Non-manifold models are frequently encountered in engineering simulations and design as well as in computer graphics. However, these models lack shape characterization for modelling and searching purposes. Topological properties act as a kernel for deriving key features of objects. Here we propose a classification for the non-manifold singularities of non-manifold objects through continuous shape transformations of 2-manifolds without boundary up to the creation of non-manifold singularities. As a result, the non-manifold objects thus created can be categorized and contribute to the definition of a general purpose taxonomy for non-manifold shapes.

Mots clés: non-manifold models; shape features; topology; simplicial complexes

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]; Topologie géométrique [math.GT]

Jean-Claude Léon, Leila de Floriani, Franck Hétroy. Classification of non-manifold singularities from transformations of 2-manifolds. IEEE International Conference on Shape Modeling and Applications (SMI), Jun 2009, Beijing, China. ⟨inria-00365338v1⟩