INTERPOLATION ON THE TRIANGLE

被引:2
作者
LEE, SL [1 ]
PHILLIPS, GM [1 ]
机构
[1] UNIV ST ANDREWS,INST MATH,ST ANDREWS KY16 9SS,SCOTLAND
来源
COMMUNICATIONS IN APPLIED NUMERICAL METHODS | 1987年 / 3卷 / 04期
关键词
D O I
10.1002/cnm.1630030406
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The purpose of this paper is to present an efficient algorithm for evaluation of interpolating polynomials. This algorithm is analogous to an algorithm for the evaluation of Bernstein polynomials known as the de Casteljau algorithm in the computer-aided geometric design literature. The authors also derive a forward difference formula for P//n(x,y) which is a two-dimensional analog of the forward difference representation of the interpolating polynomial for a function defined on equally spaced points on the real line.
引用
收藏
页码:271 / 276
页数:6
相关论文
共 3 条
[1]  
Bohm W., 1984, COMPUT AIDED GEOM D, V1, P1
[2]   THE CONVEXITY OF BERNSTEIN POLYNOMIALS OVER TRIANGLES [J].
CHANG, GZ ;
DAVIS, PJ .
JOURNAL OF APPROXIMATION THEORY, 1984, 40 (01) :11-28
[3]  
Mitchell A. R., 1972, BIT (Nordisk Tidskrift for Informationsbehandling), V12, P81, DOI 10.1007/BF01932676