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Zbl 0976.65007
Asaturyan, Souren; Costantini, Paolo; Manni, Carla
Local shape-preserving interpolation by space curves. (English)
[J] IMA J. Numer. Anal. 21, No.1, 301-325 (2001). ISSN 0272-4979; ISSN 1464-3642/e

An automatic algorithm for the construction of local shape-preserving interpolating splines in $\bbfR^3$ is presented. These splines satisfy the invexity and torsion criteria relative to the polygonal line connecting the interpolation points. The resulting curve has continuous curvature and continuous torsion and is obtained via piecewise polynomials of degree 6.
[F.Pérez Acosta (La Laguna)]

MSC 2000:: *65D05 Interpolation (numerical methods)
65D07 Splines (numerical methods)
41A29 Approximation with constraints
41A05 Interpolation

Keywords: local shape-preserving interpolation; algorithm; splines; continuous curvature; continuous torsion

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