Orthogonal and nonorthogonal multiresolution analysis, scale discrete and exact fully discrete wavelet transform on the sphere

被引：36

作者：

Freeden, W ^{[1
]}

Schreiner, M ^{[1
]}

机构：

[1] Univ Kaiserslautern, Geomath Grp, D-67653 Kaiserslautern, Germany

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 04期

关键词：

spherical multiresolution analysis; scaling function; scale discrete wavelets; rational wavelets; exponential wavelets; orthogonal (Shannon) wavelets; de la Vallee Poussin wavelets; exact fully discrete wavelet transform;

D O I：

10.1007/s003659900087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on a new definition of dilation a scale discrete version of spherical multiresolution is described, starting from a scale discrete wavelet transform on the sphere. Depending on the type of application, different families of wavelets are chosen. In particular, spherical Shannon wavelets are constructed that form an orthogonal multiresolution analysis. Finally fully discrete wavelet approximation is discussed in the case of band-limited wavelets.

引用

页码：493 / 515

页数：23

共 50 条

[1] Orthogonal and Nonorthogonal Multiresolution Analysis, Scale Discrete and Exact Fully Discrete Wavelet Transform on the Sphere
W. Freeden
M. Schreiner
Constructive Approximation, 1998, 14 : 493 - 515
[2] Multiresolution image alignment based on discrete wavelet transform
Lohakan, M.
Nantivatana, P.
Narkbuakaew, W.
Pintavirooj, C.
Sangworasil, M.
TENCON 2005 - 2005 IEEE REGION 10 CONFERENCE, VOLS 1-5, 2006, : 1978 - +
[3] Multiresolution analysis, its link to the discrete parameter wavelet transform, and its initialization
Chan, YT
Ho, KC
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (04) : 1001 - 1006
[4] Multiresolution Analysis: An Unified Approach using Discrete Wavelet Transform on GNU Radio
Vachhani, Khyati
2015 INTERNATIONAL CONFERENCE ON GREEN COMPUTING AND INTERNET OF THINGS (ICGCIOT), 2015, : 887 - 892
[5] Discrete inverses for nonorthogonal wavelet transforms
NCCOSC, San Deigo, United States
IEEE Trans Signal Process, 4 (798-807):
[6] Discrete inverses for nonorthogonal wavelet transforms
Shensa, MJ
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (04) : 798 - 807
[7] A discrete wavelet transform approach to multiresolution complex SAR image generation
Bhattacharya, C.
Mahapatra, P. R.
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2007, 4 (03) : 416 - 420
[8] Multiresolution analysis and orthogonal wavelets associated with fractional wavelet transform
Jun Shi
Xiaoping Liu
Naitong Zhang
Signal, Image and Video Processing, 2015, 9 : 211 - 220
[9] Multiresolution analysis and orthogonal wavelets associated with fractional wavelet transform
Shi, Jun
Liu, Xiaoping
Zhang, Naitong
SIGNAL IMAGE AND VIDEO PROCESSING, 2015, 9 (01) : 211 - 220
[10] Discrete wavelet transform and the scale analysis of the surface properties of sea ice
Univ of Washington, Seattle, United States
IEEE Trans Geosci Remote Sens, 3 (771-787):

← 1 2 3 4 5 →