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

Jean-Claude Léon 1, 2 Leila de Floriani 3 Franck Hétroy 2
1 G-SCOP_SIREP - Système d’Information, conception RobustE des Produits
G-SCOP - Laboratoire des sciences pour la conception, l'optimisation et la production
2 EVASION - Virtual environments for animation and image synthesis of natural objects
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
Abstract : 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.
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Jean-Claude Léon, Leila de Floriani, Franck Hétroy. Classification of non-manifold singularities from transformations of 2-manifolds. SMI 2009 - IEEE International Conference on Shape Modeling and Applications, Jun 2009, Beijing, China. pp.179-184, ⟨10.1109/SMI.2009.5170146⟩. ⟨inria-00365338v2⟩

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