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Numerical proper reparametrization of parametric plane curves

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.cam.2014.09.012
Keywords
  • Rational Curve
  • Approximately Improper
  • Proper Reparametrization
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract We present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. More precisely, given a tolerance ϵ>0 and a rational parametrization P of a plane curve C with perturbed float coefficients, we present an algorithm that computes a parametrization Q of a new plane curve D such that Q is an ϵ–proper reparametrization of D. In addition, the error bound is carefully discussed and we present a formula that measures the “closeness” between the input curve C and the output curve D.

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