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Shape-Preserving Approximation by Space Curves

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Abstract

This paper describes a new method for the construction of C 2 shape-preserving curves which approximate an ordered set of data in R 3. The curves are obtained using the variable degree polynomial spline spaces recently described in [5].

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Costantini, P., Pelosi, F. Shape-Preserving Approximation by Space Curves. Numerical Algorithms 27, 237–264 (2001). https://doi.org/10.1023/A:1011895529998

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