Abstract
We present a new method for the construction of shape-preserving curves approximating a given set of 3D data, based on the space of “quintic like” polynomial splines with variable degrees recently introduced in [7]. These splines – which are C 3 and therefore curvature and torsion continuous – possess a very simple geometric structure, which permits to easily handle the shape-constraints.
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Costantini, P., Pelosi, F. Shape-Preserving Approximation of Spatial Data. Advances in Computational Mathematics 20, 25–51 (2004). https://doi.org/10.1023/A:1025803122254
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DOI: https://doi.org/10.1023/A:1025803122254