COMPUTATION OF THIN-PLATE SPLINES

被引：45
|
作者：
SIBSON, R
STONE, G
机构：
来源：
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING | 1991年 / 12卷 / 06期
关键词：
BIVARIATE SPLINES; THIN-PLATE SPLINES; SPATIAL REGRESSION; NONPARAMETRIC REGRESSION; ILL-CONDITIONED MATRICES; PRECONDITIONING; DIRICHLET TESSELLATION;
D O I：
10.1137/0912070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Thin-plate splines are an attractive method for interpolating and smoothing arbitrarily spaced points in the plane. A major problem in the application of thin-plate splines is that their computation involves the solution of a linear system that is ill-conditioned for large data sets. A technique for preconditioning the system is proposed that greatly extends the usefulness of thin-plate splines.
引用
收藏
页码：1304 / 1313
页数：10
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