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Invertible Set Operations for Solid Modeling

  • Hiroshi Toriya
  • Toshiaki Satoh
  • Kenji Ueda
  • Hiroaki Chiyokura

Abstract

The paper describes a method of representing the solid design process using a tree data structure. Previous stages in the development of a design can be quickly regenerated by specifying nodes of this tree. A detailed description of the implementation of invertible set operations is also presented.

Keywords

Computer Graphic Previous Stage Union Operation Primitive Operation Tree Data Structure 
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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References

  1. [1]
    B. G. Baumgart, A Polyhedron Representation for Computer Vision, AFIPS Conf. Proc., Vol.44, pp.589–596, May 1975.Google Scholar
  2. [2]
    I. C. Braid, R.C. Hillyard and I.A. Stroud, Stepwise Construction of Polyhedra in Geometric Modelling, Mathematical Methods in Computer Graphics and Design (Ed. by K.W. Brodlie) Academic Press, pp.123–141, 1980.Google Scholar
  3. [3]
    H. Chiyokura and F. Kimura, Design of Solids with Free-form Surfaces, Computer Graphics (SIGGRAPH’83 Proc), Vol.17, No.3, pp.289–298, 1983.CrossRefGoogle Scholar
  4. [4]
    H. Chiyokura and F. Kimura, A Representation of Solid Design Process using Basic Operations, in Frontiers in Computer Graphics — Proc. Computer Graphics Tokyo 84, T. L. Kunii, ed., Springer- Verlag, Heidelberg, 1985, pp. 26–43.Google Scholar
  5. [5]
    M. Mantyla and R. Sulonen, GWB: A Solid Modeler with Euler Operators, IEEE Computer Graphics and Applications, Vol.2, No.7, pp.17–31, September 1982.CrossRefGoogle Scholar
  6. [6]
    M. Mantyla, Computational Topology: A Study of Topological Manipulations and Interrogations in Computer Graphics and Geometric Modeling, Acta Polytechnica Scandinavica, Mathematics and Computer Science Series No.37, Helsinki 1983.Google Scholar

Copyright information

© Springer-Verlag Tokyo 1985

Authors and Affiliations

  • Hiroshi Toriya
    • 1
  • Toshiaki Satoh
    • 1
  • Kenji Ueda
    • 1
  • Hiroaki Chiyokura
    • 1
  1. 1.Software Research CenterRicoh Co., Ltd.Bunkyo-ku, TokyoJapan

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