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Quasi-Interpolants with Tension Properties from and in CAGD

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Roma “Tor Vergata”, via Della Ricerca Scientifica, 00133, Roma, Italy

    Carla Manni

  2. Department of Pure and Applied Mathematics, University of Padova, via Belzoni 7, 35131, Padova, Italy

    Francesca Pelosi

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  1. Carla Manni
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  2. Francesca Pelosi
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Correspondence to Carla Manni.

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Manni, C., Pelosi, F. Quasi-Interpolants with Tension Properties from and in CAGD. Computing 72, 143–160 (2004). https://doi.org/10.1007/s00607-003-0053-z

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  • DOI: https://doi.org/10.1007/s00607-003-0053-z

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