Abstract
This paper studies cubic spline quasi-interpolation of parametric curves through sequences of points in any space dimension. We show that if the parameter values are chosen by chord length, the order of accuracy is four. We also use this chordal cubic spline quasi interpolant to approximate the arc length derivatives and the length of the parametric curve.
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Sablonnière, P., Sbibih, D., Tahrichi, M. (2012). Chordal Cubic Spline Quasi Interpolation. In: Boissonnat, JD., et al. Curves and Surfaces. Curves and Surfaces 2010. Lecture Notes in Computer Science, vol 6920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27413-8_40
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DOI: https://doi.org/10.1007/978-3-642-27413-8_40
Publisher Name: Springer, Berlin, Heidelberg
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