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Published in:
2006 | OriginalPaper | Chapter
A New Method for Approximating Optimal Parameterization of Polynomial Curves
Authors : Fenghua Guo, Caiming Zhang
Published in: Advances in Visual Computing
Publisher: Springer Berlin Heidelberg
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Rational re-parameterizations of a polynomial curve that preserve the curve degree and [0,1] parameter domain are characterized by a single degree of freedom. The optimal re-parameterization in this family can be identified but the existing methods may exhibit too much residual parametric speed variation for motion control and other applications. In this paper, a new re-parameterization method to optimal parameterization is presented and the optimal parameterization in this family obtained by the new method satisfies that the maximum deviation from unit-speed is the minimum. Experiments for comparing the efficiency of this algorithm with other methods are also included.