Singularity detection in images using dual local autocovariance

Wojciech Czaja; Mladen Victor Wickerhauser

doi:10.1016/S1063-5203(02)00004-0

Singularity detection in images using dual local autocovariance

Wojciech Czaja
, Mladen Victor Wickerhauser

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Differences in the eigenvalues of an autocovariance matrix indicate directions at which the local Fourier power spectrum of a function is slowly decreasing. This provides a technique to discriminate edge-like singularities from other features in images.

Original language	English
Pages (from-to)	77-88
Number of pages	12
Journal	Applied and Computational Harmonic Analysis
Volume	13
Issue number	1
DOIs	https://doi.org/10.1016/S1063-5203(02)00004-0
State	Published - Jul 2002

Keywords

Edge detection
Local Fourier power spectrum
Moments
Morrey-Campanato spaces
Nondifferentiable regularity

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10.1016/S1063-5203(02)00004-0

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title = "Singularity detection in images using dual local autocovariance",

abstract = "Differences in the eigenvalues of an autocovariance matrix indicate directions at which the local Fourier power spectrum of a function is slowly decreasing. This provides a technique to discriminate edge-like singularities from other features in images.",

keywords = "Edge detection, Local Fourier power spectrum, Moments, Morrey-Campanato spaces, Nondifferentiable regularity",

author = "Wojciech Czaja and Wickerhauser, \{Mladen Victor\}",

year = "2002",

month = jul,

doi = "10.1016/S1063-5203(02)00004-0",

language = "English",

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AU - Czaja, Wojciech

AU - Wickerhauser, Mladen Victor

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N2 - Differences in the eigenvalues of an autocovariance matrix indicate directions at which the local Fourier power spectrum of a function is slowly decreasing. This provides a technique to discriminate edge-like singularities from other features in images.

AB - Differences in the eigenvalues of an autocovariance matrix indicate directions at which the local Fourier power spectrum of a function is slowly decreasing. This provides a technique to discriminate edge-like singularities from other features in images.

KW - Edge detection

KW - Local Fourier power spectrum

KW - Moments

KW - Morrey-Campanato spaces

KW - Nondifferentiable regularity

UR - https://www.scopus.com/pages/publications/3543061600

U2 - 10.1016/S1063-5203(02)00004-0

DO - 10.1016/S1063-5203(02)00004-0

M3 - Article

AN - SCOPUS:3543061600

SN - 1063-5203

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SP - 77

EP - 88

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 1

ER -

Singularity detection in images using dual local autocovariance

Abstract

Keywords

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