@Article{JCM-5-376, author = {}, title = {On the Structure of Bézier Nets}, journal = {Journal of Computational Mathematics}, year = {1987}, volume = {5}, number = {4}, pages = {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 $C^{\infty}$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9561.html} }