Locally supported rational spline wavelets on a sphere

被引:17
作者
Rosca, D [1 ]
机构
[1] Univ Lubeck, Inst Math, D-23560 Lubeck, Germany
关键词
wavelets; multivariate approximation; interpolation;
D O I
10.1090/S0025-5718-05-01754-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we construct certain continuous piecewise rational wavelets on arbitrary spherical triangulations, giving explicit expressions of these wavelets. Our wavelets have small support, a fact which is very important in working with large amounts of data, since the algorithms for decomposition, compression and reconstruction deal with sparse matrices. We also give a quasi-interpolant associated to a given triangulation and study the approximation error. Some numerical examples are given to illustrate the efficiency of our wavelets.
引用
收藏
页码:1803 / 1829
页数:27
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