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.
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6. References
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.
Davenport, J.H. Algebra for Cylindrical Algebraic Decomposition TRITA-NA-8511, NADA, KTH, Stockholm, Sept. 1985. Bath Computer Science Technical report 88-10.
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)
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Bowyer, A., Davenport, J., Milne, P., Padget, J., Wallis, A. (1989). Applications of computer algebra in solid modelling. In: Davenport, J.H. (eds) Eurocal '87. EUROCAL 1987. Lecture Notes in Computer Science, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51517-8_122
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DOI: https://doi.org/10.1007/3-540-51517-8_122
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