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A vegetarian approach to optimal parameterizations
Authors:Bert Jü  ttler
Affiliation:

Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstraße 7, 64289, Darmstadt, Germany

Abstract:According to a recent result by Farouki (1997), the optimal bilinear parameter transformation of an integral Bézier curve (which produces a rational parameterization whose parametric speed is as uniform as possible) can be computed by solving a quadratic equation. This note presents a simplified derivation of this result. In addition we outline its generalization to rational curves.
Keywords:Rational parameterization   Arc length parameterization
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