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Computing and Visualizing a Graph-Based Decomposition for Non-manifold Shapes

  • Leila De Floriani
  • Daniele Panozzo
  • Annie Hui
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5534)

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.

Keywords

Simplicial Complex Betti Number Decomposition Graph Incidence Simplicial Regular Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Leila De Floriani
    • 1
  • Daniele Panozzo
    • 1
  • Annie Hui
    • 2
  1. 1.Department of Computer ScienceUniversity of GenovaItaly
  2. 2.Department of Computer ScienceUniversity of MarylandUSA

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