TY - JOUR
T1 - On the Structure of Bézier Nets
AU - Jia-Chang Sun & Kang Zhao
JO - Journal of Computational Mathematics
VL - 4
SP - 376
EP - 382
PY - 1987
DA - 1987/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9561.html
KW - 
AB - <p style="text-align: justify;">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 $C^{\infty}$.</p>