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Invertible Set Operations for Solid Modeling

  • Conference paper
Computer Graphics

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.

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References

  1. B. G. Baumgart, A Polyhedron Representation for Computer Vision, AFIPS Conf. Proc., Vol.44, pp.589–596, May 1975.

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  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.

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  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.

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  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.

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  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.

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  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.

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Author information

Authors and Affiliations

  1. Software Research Center, Ricoh Co., Ltd., 1–17, Koishikawa 1-chome, Bunkyo-ku, Tokyo, 112, Japan

    Hiroshi Toriya, Toshiaki Satoh, Kenji Ueda & Hiroaki Chiyokura

Authors
  1. Hiroshi Toriya
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  2. Toshiaki Satoh
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  3. Kenji Ueda
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  4. Hiroaki Chiyokura
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Editor information

Editors and Affiliations

  1. Kunii Laboratory of Computer Science Department of Information Science Faculty of Science, The University of Tokyo, Japan

    Tosiyasu L. Kunii (Professor and Director) (Professor and Director)

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© 1985 Springer-Verlag Tokyo

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Toriya, H., Satoh, T., Ueda, K., Chiyokura, H. (1985). Invertible Set Operations for Solid Modeling. In: Kunii, T.L. (eds) Computer Graphics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68030-7_1

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  • DOI: https://doi.org/10.1007/978-4-431-68030-7_1

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68032-1

  • Online ISBN: 978-4-431-68030-7

  • eBook Packages: Springer Book Archive

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