MULTIRESOLUTION ANALYSIS AND WAVELETS ON S-2 AND S-3

被引：40

作者：

DAHLKE, S

DAHMEN, W

WEINREICH, I

SCHMITT, E

机构：

[1] RHEIN WESTFAL TH AACHEN,INST GEOMETRIE & PREAKT MATH,D-52056 AACHEN,GERMANY

[2] UNIV GOTTINGEN,INST NUMER & ANGEW MATH,D-37083 GOTTINGEN,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1995年 / 16卷 / 1-2期

关键词：

MULTIRESOLUTION ANALYSIS; WAVELETS; TENSOR SPLINES; EXPONENTIAL SPLINES; SURFACES ON SURFACES;

D O I：

10.1080/01630569508816605

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct a multiresolution analysis and a wavelet basis on two specific compact manifolds. Using special charts, the problem is reduced to finding appropriate nested spaces on rectangular domains. The claim of C-1- continuity gives rise to certain boundary conditions on the rectangles. To satisfy these conditions, we use a tenser product approach in which one factor is an exponential spline.

引用

页码：19 / 41

页数：23

共 17 条

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