Quasi-Interpolants with Tension Properties from and in CAGD

Carla Manni () and Francesca Pelosi ()
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Carla Manni: University of Roma “Tor Vergata”, Department of Mathematics
Francesca Pelosi: University of Padova, Department of Pure and Applied Mathematics

A chapter in Geometric Modelling, 2004, pp 143-160 from Springer

Abstract: Abstract We present C 2 quasi-interpolating schemes with tension properties. The B-splines like functions used in the quasi-interpolanting schemes are parametric cubic curves and their shape can be easily controlled via tension parameters which have an immediate geometric interpretation. Applications to the problem of approximation of curves with shape-constraints are discussed.

Keywords: Quasi-interpolation; tension properties; parametric curves; constrained approximation; 41A05; 41A25; 41A29; 65D05 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_12

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DOI: 10.1007/978-3-7091-0587-0_12

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