Abstract
Modeling 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 decomposition of a non-manifold shape into components which are almost manifolds, and we present a novel graph representation which highlights the non-manifold singularities shared by the components as well as their connectivity relations. We describe an algorithm for computing the decomposition and its associated graph representation. We present a new tool for visualizing the shape decomposition and its graph as an effective support to modeling, analyzing and understanding non-manifold shapes.
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De Floriani, L., Panozzo, D., Hui, A. (2009). Computing and Visualizing a Graph-Based Decomposition for Non-manifold Shapes. In: Torsello, A., Escolano, F., Brun, L. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2009. Lecture Notes in Computer Science, vol 5534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02124-4_7
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DOI: https://doi.org/10.1007/978-3-642-02124-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02123-7
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