A multiresolution method for fitting scattered data on the sphere

被引：7
|
作者：
Lamnii, A. [1 ]
Mraoui, H. [1 ]
Sbibih, D. [1 ]
Zidna, A. [2 ]
机构：
[1] Univ Mohammed Ler, EST, Lab MATSI, Oujda 60000, Morocco
[2] IUT Metz, F-57045 Metz 1, France
来源：
BIT NUMERICAL MATHEMATICS | 2009年 / 49卷 / 03期
关键词：
Multiresolution analysis; B-spline wavelets; UAT B-spline wavelets; Compression of a closed surface; SPLINES;
D O I：
10.1007/s10543-009-0230-3
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this work, we propose an efficient multiresolution method for fitting scattered data functions on a sphere S, using a tensor product method of periodic algebraic trigonometric splines of order 3 and quadratic polynomial splines defined on a rectangular map of S. We describe the decomposition and reconstruction algorithms corresponding to the polynomial and periodic algebraic trigonometric wavelets. As application of this method, we give an algorithm which allows to compress scattered data on spherelike surfaces. In order to illustrate our results, some numerical examples are presented.
引用
收藏
页码：589 / 610
页数：22
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