Numerical Comparison of Two Main Parametric Methods in Curve Approximation
Application of Intelligent Systems in Multi-modal Information AnalyticsAdvances in Intelligent Systems and Computing(2019)
Abstract
This article has conducted deep research to the subdivision curve parametrization scheme of the literature [1]. It first uses 4-point interpolatory subdivision scheme to carry on k times subdivision to the initial control polygon \( \{ P_{i}^{0} \}_{i = 0}^{n} \) of subdivision curve parametrization scheme, after calculates the parameter value of these sampled point, then makes a comprehensive numerical comparison between the subdivision curve parametrization and the chordal parametrization which has been considered the best parametrization method with Parametric cubic spline interpolation scheme.
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Key words
Subdivision scheme,Subdivision curve parametrization,Chordal parametrization,Parametric cubic spline interpolation,Numerical comparison
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