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Quasi-Interpolants with Tension Properties from and in CAGD |
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| Authors: | Carla Manni Francesca Pelosi |
| Affiliation: | (1) Department of Mathematics, University of Roma !["ldquo"]("/content/c1591pkt95xu42tn/xlarge8220.gif") Tor Vergata!["rdquo"]("/content/c1591pkt95xu42tn/xlarge8221.gif") , via Della Ricerca Scientifica, 00133 Roma, Italy;(2) Department of Pure and Applied Mathematics, University of Padova, via Belzoni 7, 35131 Padova, Italy |
| Abstract: | We present C2 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: | 41A05 41A25 41A29 65D05 |
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