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.
Springer International Publishing
1 Jun 2017
Volume: 36 Issue: 2 Pages: 885-902
Computational and Applied Mathematics