Numerical Stability of Surface Implicitization

Ibolya Szilagyi, Josef Schicho

Research output: Working paper and reportsResearch report

Abstract

For a numerically given parametrization we cannot compute an exact implicit equation, just an approximate one. We introduce a condition number to measure the worst effect on the solution when the input data is perturbed by a small amount. Using this condition number the perturbation behavior of various implicitization methods can be analyzed.
Original languageEnglish
Place of PublicationUniversity of Linz, Austria
PublisherSFB
Number of pages14
Publication statusPublished - 2004

Publication series

NameSFB F013 Reports
No.2004-27

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

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