四点插值细分算法极限曲线曲面C^2连续的充分必要条件  

Necessary and Sufficient Conditions for the C^2 Continuous Limit Curves and Surfaces of 4-Point Interpolatory Subdivision Scheme

作　　者：曹沅[1] 

机构地区：[1]复旦大学数学系,上海200433

出　　处：《计算机辅助设计与图形学学报》2003年第8期961-966,共6页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(199710 17)资助

摘　　要：研究了四点插值细分算法的连续性 用若当标准形重新证明了Dyn的一个定理 ,从而得到了一个极限函数具有二阶导函数的充分必要条件及二阶导函数的解析表达式 ;The continuity of 4 point interpolatory subdivision scheme was studied One of Dyn's theories was proved in a new way by using Jordan's normal form Necessary and sufficient conditions for the second derivative of limit function were obtained, and expression of second derivative was acquired as well The result was accordingly extended into the case of surfaces

关 键 词：四点插值细分算法 极限曲线曲面 C^2连续 CAGD CAD CAM 计算机辅助设计 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]