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多片双三次Bézier曲面片的C2连续拼接探讨
引用本文:张娟,汤正诠,邱曹勇.多片双三次Bézier曲面片的C2连续拼接探讨[J].应用数学与计算数学学报,2004,18(1):71-75.
作者姓名:张娟  汤正诠  邱曹勇
作者单位:上海大学理学院数学系,上海,200436
摘    要:文推导了两片双三次Bezier曲面片G2连续拼接的控制顶点之间的12个 约束条件.在进行多片双三次Bezier曲面片的C2连续拼接时,约束条件之间并不一定相 互独立.本文就一般场合下条件的相关性进行了探讨.

关 键 词:双三次Bézier曲面  光滑拼接  控制顶点  约束条件  相容性
修稿时间:2004年3月22日

Explore the C2 Smooth Connection of Many Bicubic Bézier Patches
Zhang Juan Tang Zhengquan Qiu Caoyong School of Sciences,Shanghai University,Shanghai,A.Explore the C2 Smooth Connection of Many Bicubic Bézier Patches[J].Communication on Applied Mathematics and Computation,2004,18(1):71-75.
Authors:Zhang Juan Tang Zhengquan Qiu Caoyong School of Sciences  Shanghai University  Shanghai  A
Institution:Zhang Juan Tang Zhengquan Qiu Caoyong School of Sciences,Shanghai University,Shanghai,200A36
Abstract:Paper 1] derived twelve restricted conditions between control vertices to C2 smoothly connect two adjacent bicubic Bezier surface patches. In fact, the restricted conditions are not independent of each other for the connection of many surface patches. In this paper, authors study the relativity of the conditions under several occasions.
Keywords:bicubic Bezier spline surface  smooth connection  controlling vertex  restricted condition  compatibility
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