Abstract
We present a method for constructing shape-preserving C 3 interpolants in R 3. The resulting curve is obtained by adding a polynomial perturbation of high degree to a curve which is shape-preserving but not sufficiently smooth. The degree of the perturbed curve is selected in order to maintain the shape properties of the basic curve.
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Costantini, P., Goodman, T. & Manni, C. Constructing C3 shape preserving interpolating space curves. Advances in Computational Mathematics 14, 103–127 (2001). https://doi.org/10.1023/A:1016664630563
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DOI: https://doi.org/10.1023/A:1016664630563