摘要
构造一种新的有理插值样条曲面,证明积分权系数和极限曲面等性质,给出曲面光滑的条件,并基于曲面的矩阵表示研究其保凸性.
In this paper, a new kind of rational interpolating spline surface is constructed to prove the properties such as the integral weighted coefficients and limit surface. The conditions for the smooth construction of surface are discussed. Based on the matrix representation of surface：its convexity is also studied.
出处
《西安文理学院学报（自然科学版）》
2012年第3期11-14,19,共5页
Journal of Xi’an University(Natural Science Edition)
基金
国家自然科学基金资助项目(No.10772082)
南京航空航天大学创新基金(No.Y0706-82)
关键词
有理插值
样条曲面
光滑条件
性质
保凸性
rational interpolation
Spline Surface
smoothness
properties
convexity
