Year: 1987
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 4 : pp. 376–382
Abstract
The distance between two neighbouring multivariate Bézier nets is proved to be $O(m^{-2})$ in this paper. As a consequence, the sequence of Bézier nets is uniformly convergent with the optimal approximation order $O(m^{-1})$. Furthermore, the structures of Bézier nets are explored by investigating how the piecewise linear surface tends to the Bézier surface of $C^{\infty}$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1987-JCM-9561
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 4 : pp. 376–382
Published online: 1987-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7