Uniform approximation error estimates for weighted Shepard-type operators more flexible than the unweighted analogues are given. Error estimates for a linear combination of their iterates faster converging than previous ones are also showed. The results are applied in CAGD to construct Shepard-type curves useful in modeling and a weighted progressive iterative approximation technique exponentially converging.
Weighting Shepard-type operators / DELLA VECCHIA, Biancamaria; Amato, Umberto. - In: COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0101-8205. - STAMPA. - 36:(2017), pp. 885-902. [doi:10.1007/s40314-015-0263-y]
Weighting Shepard-type operators
DELLA VECCHIA, Biancamaria
;
2017
Abstract
Uniform approximation error estimates for weighted Shepard-type operators more flexible than the unweighted analogues are given. Error estimates for a linear combination of their iterates faster converging than previous ones are also showed. The results are applied in CAGD to construct Shepard-type curves useful in modeling and a weighted progressive iterative approximation technique exponentially converging.| File | Dimensione | Formato | |
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