三向四次箱样条曲面的差分界  

Difference Bounds of 3-Direction Quartic Box Spline Surfaces

作　　者：杨联强[1] 曾晓明[1] 

机构地区：[1]厦门大学数学科学学院

出　　处：《计算机辅助设计与图形学学报》2008年第9期1176-1179,共4页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(10571145)

摘　　要：研究了三向四次箱样条曲面与控制网格中心三角平面片间的距离和该距离的界.借助三向四次箱样条曲面的分片表示,应用该曲面片控制顶点的一阶和二阶方向差分,给出了该曲面片与控制网格中心三角平面片之间的逐点距离.通过该距离的分片表达式,给出了该距离的界.The distance from 3-direction quartic box spline surface to the central triangular planar patch of its control net is investigated as well as its bound. Using piecewise expression of 3-direction quartic box spline surface, and the first and second directional differences of the control points, the point wise distance from the surface patch to the central triangular planar patch of its control net is obtained. The bound of the distance is also determined.

关 键 词：箱样条 界 参数曲面 基函数 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]