Improved projection for CAD's of R3

  • Authors:
  • Christopher W. Brown

  • Affiliations:
  • Computer Science Department, Stop 9F, United States Naval Academy, 572C Holloway Road, Annapolis, MD

  • Venue:
  • ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
  • Year:
  • 2000

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Abstract

This paper presents an improved projection operator for the construction of CAD's of R3. It is shown that, typically, it suffices to include in projection only leading coefficients (along with discriminants and resultants) rather than all coefficients. Cases in which the leading coefficient alone does not suffice can be dealt with, in a sense, even more efficiently. Generalizing the improved projection operator to dimension greater than three is a topic of ongoing research.