平面中线上分布的大规模散乱数据点局部基自然样条插值  

Polynomial Natural Spline Local Basis Interpolation for Large Scattered Data in the Lines of Plane

作　　者：关履泰[1] 逯峰[1] 

机构地区：[1]中山大学科学计算与计算机应用系,广州510275

出　　处：《工程数学学报》2003年第4期59-64,共6页Chinese Journal of Engineering Mathematics

基　　金：香港中山大学高等学术研究中心基金会资助.

摘　　要：给出了平面中线上分布的散乱数据点的自然样条的局部插值基,并证明了这个基等价于自然样条的截幂基,给出了这些基函数的局部紧支集。做出了算法并且给出了算例,效果良好。We present a natural spline local interpolation basis of scattered data in the lines of a plane, and prove this basis is equivalent to the truncate basis of natural splines, and present the local compact set of these basis functions and the algorithms with examples of gearing to large scale computing. For its simpleness and easy implementation by computer, the way can deal with a part of interpolation problems of scattered data in a plane.

关 键 词：局部插值基 自然样条 散乱数据 平面线上 

分 类 号：O174.41[理学—数学]