arrow
返回

Steerable Wavelet Frames Based on the Riesz Transform

delete2010-03-01
delete58
PRE
AI
S
Stefan Held *
M
Martin Storath
P
Peter Massopust
B
Brigitte Forster
DOI:10.1109/TIP.2009.2036713delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
We consider an extension of the 1-D concept of analytical wavelet to n-D which is by construction compatible with rotations. This extension, called a monogenic wavelet, yields a decomposition of the wavelet coefficients into amplitude, phase, and phase direction. The monogenic wavelet is based on the hypercomplex monogenic signal which is defined using Riesz transforms and perfectly isotropic wavelets frames. Employing the new concept of Clifford frames, we can show that the monogenic wavelet generates a wavelet frame. Furthermore, this approach yields wavelet frames that are steerable with respect to direction. Applications to descreening and contrast enhancement illustrate the versatility of this approach to image analysis and reconstruction.
Keyword:
Analytical signal
Clifford algebra
contrast enhancement
descreening
Hilbert transform
monogenic signal
phase
phase direction
Riesz transform
steerable filters
wavelet
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

IEEE Transactions on Image Processing 封面图
IEEE Transactions on Image Processing
IF:
13.7
论文数:
1.0W
被引数:
8.4W

机构

H
Helmholtz Association
学者数:
13.2W
论文数: 10.7W
被引数: 145
T
Technical University of Munich
学者数:
5.2W
论文数: 3.9W
被引数: 6.2W
引用论文

引用论文

err分享
err收藏
The dual-tree complex wavelet transform
err2005-11-01
err2.0K
PREAI
errSelesnick, IW; Baraniuk, RG; Kingsbury, NG
err分享
err收藏
Solid-state chemistry of fullerene-based materials
err2002-05-01
err0
PREAI
errJohn E. Fischer; Paul A. Heiney; Amos B. Smith
err分享
err收藏
err分享
err收藏
THE IMPORTANCE OF PHASE IN SIGNALS
err1981-01-01
err1.4K
PREAI
errOPPENHEIM, AV; LIM, JS
err分享
err收藏
Structural Change in Corporate Organization
err1989-08-01
err0
PREAI
errNeil Fligstein; Kenneth Dauber
err分享
err收藏
学者 查看更多内容