Singularity detection from autocovariance via wavelet packets

M. Victor Wickerhauser

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We use the eigenvalues of a version of the autocovariance matrix to recognize directions at which the Fourier transform of a function is slowly decreasing, which provides us with a technique to detect singularities in images. In very high dimensions, we show how the wavelet packet best-basis algorithm can be used to compute these eigenvalues approximately, at relatively low computational complexity.

Original languageEnglish
Title of host publicationWavelet Analysis and its Applications - 2nd International Conference,WAA 2001, Proceedings
EditorsYuan Y. Tang, Pong C. Yuen, Chun-hung Li, Victor Wickerhauser
PublisherSpringer Verlag
ISBN (Print)9783540453338
DOIs
StatePublished - 2001
Event2nd International Conference on Wavelet Analysis and its Applications, WAA 2001 - Kowloon Tong, Hong Kong
Duration: Dec 18 2001Dec 20 2001

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2251
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd International Conference on Wavelet Analysis and its Applications, WAA 2001
Country/TerritoryHong Kong
CityKowloon Tong
Period12/18/0112/20/01

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