A metric for parametric approximation
Proceedings of the international conference on Curves and surfaces in geometric design
Some examples of quasi-interpolants constructed from local spline projectors
Mathematical Methods for Curves and Surfaces
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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.