Implicitization of rational curves

  • Authors:
  • Yongli Sun;Jianping Yu

  • Affiliations:
  • Department of Mathematics and Computer Science, BUCT, Beijing;Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing, China

  • Venue:
  • AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
  • Year:
  • 2006

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Abstract

A new technique for finding the implicit equation of a rational curve is investigated. It is based on efficient computation of the Bézout resultant and Lagrange interpolation. One of the main features of our approach is that it considerably reduces the size of intermediate expressions and results in significant speed-up in the algorithm.