多片双三次Bézier曲面片的C^2连续拼接探讨  

Explore the C^2 Smooth Connection of Many Bicubic Bezier Patches

作　　者：张娟[1] 汤正诠[1] 邱曹勇[1] 

机构地区：[1]上海大学理学院数学系,上海200436

出　　处：《应用数学与计算数学学报》2004年第1期71-75,共5页Communication on Applied Mathematics and Computation

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.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.

关 键 词：双三次Bezier曲面 光滑拼接 控制顶点 约束条件 相容性 曲面片拼接 

分 类 号：O186.11[理学—数学]