Best bounds on the distance between 3-direction quartic box spline surface and its control net  

作　　者：ZENG Xiao-ming ZHOU Guo-rong YANG Lian-qiang 

机构地区：[1]Department of Mathematics,Xiamen University [2]School of Mathematics,Anhui University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第2期147-157,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (61170324 and 61100105)

摘　　要：We present the best bounds on the distance between 3-direction quartic box spline surface patch and its control net by means of analysis and computing for the basis functions of 3-direction quartic box spline surface.Both the local bounds and the global bounds are given by the maximum norm of the first differences or second differences or mixed differences of the control points of the surface patch.We present the best bounds on the distance between 3-direction quartic box spline surface patch and its control net by means of analysis and computing for the basis functions of 3-direction quartic box spline surface.Both the local bounds and the global bounds are given by the maximum norm of the first differences or second differences or mixed differences of the control points of the surface patch.

关 键 词：Box spline BOUND parametric surface basis function differences of control point. 

分 类 号：O186.11[理学—数学]