Applications of computer algebra in solid modelling

  • Adrian Bowyer
  • James Davenport
  • Philip Milne
  • Julian Padget
  • Andrew Wallis
Applications And Systems
Part of the Lecture Notes in Computer Science book series (LNCS, volume 378)

Abstract

Work is currenty progressing, using REDUCE for prototyping. This paper has outlined the scope of a new research project, whose necessity arises both from the computational imperative of applying algebra to CAD and the difficulties of applying existing systems to this problem. The authors are currently working on the detailed specification of the memory management system, and the model domain. During the life of the project the authors expect to investigate the topics discussed in the paper and to derive and implement Computer Algebra based techniques for solving them.

6. References

  1. [Bowyer, 1987]
    Bowyer A., Davenport, J.H., Milne, P.S., Padget, J.A. & Wallis, A.F., The Design of a Geometric Algebra System, to appear in the Proceedings of the UK conference on Geometric Reasoning, Oxford University Press, 1988.Google Scholar
  2. [Davenport, 1985]
    Davenport, J.H. Algebra for Cylindrical Algebraic Decomposition TRITA-NA-8511, NADA, KTH, Stockholm, Sept. 1985. Bath Computer Science Technical report 88-10.Google Scholar
  3. [Zhang & Bowyer, 1986]
    Zhang, D. & Bowyer, A. CSG Set-theoretic Solid Modelling and NC machining of Blend Surfaces Proc. 2nd ACM Symposium on Computational Geometry. New York June (1986)Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Adrian Bowyer
    • 1
  • James Davenport
    • 1
  • Philip Milne
    • 1
  • Julian Padget
    • 1
  • Andrew Wallis
    • 1
  1. 1.Schools of Mechanical Engineering and Mathematical SciencesUniversity of BathBath, AVONUK

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