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Integrated Polytrees: A Generalized Model for the Integration of Spatial Decomposition and Boundary Representation

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Theory and Practice of Geometric Modeling

Abstract

We present a new and more efficient way to store polygonal and polyhedral data. Generalizing the splitting rule of the polytree, we obtain a storage requirement that is much lower and more stable, and actually has an upper bound for any given object. Using polytrees as a spatial directory in combination with the boundary representation (which stores geometric and topological data), we obtain an integrated data structure that permits the execution of a broad variety of algorithms for a wide range of applications in reasonable time.

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Author information

Authors and Affiliations

  1. Department of Information Science, Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113 Tokyo, Japan

    Martin J. Dürst & Tosiyasu L. Kunii

Authors
  1. Martin J. Dürst
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  2. Tosiyasu L. Kunii
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Editor information

Editors and Affiliations

  1. Graphisch-Interaktive Systeme, Wilhelm-Schickard-Institut für Informatik, Auf der Morgenstelle 10, C9, D-7400, Tübingen 1, Federal Republic of Germany

    Wolfgang Straßer  & Hans-Peter Seidel  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Dürst, M.J., Kunii, T.L. (1989). Integrated Polytrees: A Generalized Model for the Integration of Spatial Decomposition and Boundary Representation. In: Straßer, W., Seidel, HP. (eds) Theory and Practice of Geometric Modeling. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61542-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-61542-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64866-3

  • Online ISBN: 978-3-642-61542-9

  • eBook Packages: Springer Book Archive

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