Italian Chapter Conference 2011
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Browsing Italian Chapter Conference 2011 by Subject "Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Curve, surface, solid, and object representations"
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Item A Decomposition-based Approach to Modeling and Understanding Arbitrary Shapes(The Eurographics Association, 2011) Canino, David; Floriani, Leila De; Andrea F. Abate and Michele Nappi and Genny TortoraModeling and understanding complex non-manifold shapes is a key issue in shape analysis and retrieval. The topological structure of a non-manifold shape can be analyzed through its decomposition into a collection of components with a simpler topology. Here, we consider a representation for arbitrary shapes, that we call Manifold-Connected Decomposition (MC-decomposition), which is based on a unique decomposition of the shape into nearly manifold parts. We present efficient and powerful two-level representations for non-manifold shapes based on the MC-decomposition and on an efficient and compact data structure for encoding the underlying components. We describe a dimension-independent algorithm to generate such decomposition. We also show that the MC-decomposition provides a suitable basis for geometric reasoning and for homology computation on non-manifold shapes. Finally, we present a comparison with existing representations for arbitrary shapes.