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CW Complexes: Topological Mainframe for Numerical Representations of Objects

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

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Abstract

Dimensionally non-homogeneous pointsets with internal structure are the focus in a consequent number of studies in both computational geometry and discrete (or digital) geometry, and lead to various practical applications in geometric modeling and computer imagery. Our motivation is to revisit the well known notion of algebraic topology, the cell CW complex, and to use it as an abstract framework for numerical representation of inhomogeneous objects. Two representational issues, respectively in non-manifold solid modeling and in discrete object boundary reconstruction, are discussed in illustration of this general setting.

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Author information

Authors and Affiliations

  1. LaBRI, Université de Bordeaux I, 33405, Talence, France

    Pascal Desbarats & Stefka Gueorguieva

Authors
  1. Pascal Desbarats
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  2. Stefka Gueorguieva
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA University of Minessota Department of Computer Science and Engineering, MN, 55455, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. School of Computer Science, The Queen’s University of Belfast, Belfast, BT7 1NN, Northern Ireland UK

    Chih Jeng Kenneth Tan

  5. Département d’informatique et de recherche opérationelle Montréal, Université de Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

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Desbarats, P., Gueorguieva, S. (2003). CW Complexes: Topological Mainframe for Numerical Representations of Objects. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44842-X_51

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  • DOI: https://doi.org/10.1007/3-540-44842-X_51

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  • Print ISBN: 978-3-540-40156-8

  • Online ISBN: 978-3-540-44842-6

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