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Souren Asaturyan, Paolo Costantini, Carla Manni, Local shape‐preserving interpolation by space curves, IMA Journal of Numerical Analysis, Volume 21, Issue 1, 1 January 2001, Pages 301–325, https://doi.org/10.1093/imanum/21.1.301
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Abstract
In this paper we present an automatic algorithm for the construction of local shape‐preserving interpolating splines in ℜ3. These splines satisfy the convexity and torsion criteria relative to the polygonal line connecting interpolation points. The resulting curve has continuous curvature and continuous torsion and is obtained via piecewise polynomials of degree 6.
Copyright Oxford University Press 2001
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