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IMA Journal of Numerical Analysis 2001 21(1):301-325; doi:10.1093/imanum/21.1.301
© 2001 by Institute of Mathematics and its Applications
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Local shape-preserving interpolation by space curves

Souren Asaturyan1, Paolo Costantini2 and Carla Manni3

1 Dipartimento di Energetica "S. Stecco", Universitá di Firenze, Via C. Lombroso 6/17, 50134 Firenze, Italy 2 Dipartimento di Matematica, Universitá di Siena, Via del Capitano 15, 53100 Siena, Italy 3 Dipartimento di Matematica, Universitá di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

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.

Received 25 November 1998. Accepted 25 April 2000.


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