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An automated approach to quasi-periodic noise removal in natural images

Identifieur interne : 000672 ( Main/Exploration ); précédent : 000671; suivant : 000673

An automated approach to quasi-periodic noise removal in natural images

Auteurs : Frédéric Sur [France] ; Michel Grediac [France]

Source :

RBID : Hal:hal-01099795

Descripteurs français

English descriptors

Abstract

Quasi-periodic noise may affect digital images. This phenomenon is reflected by spurious repetitive patterns covering the whole image. Quasi-periodic noise is by nature well localized in the Fourier spectrum. A possibility is thus to attenuate it through a well-designed notch filter. In contrast to existing algorithms which require hand-tuned filter design, this research report presents an automated approach based on the expected power spectrum of a natural image. The resulting algorithm enables to eliminate a large range of repetitive structures, from simple periodic noises, whose influence on the image spectrum is limited to a few Fourier coefficients, to quasi-periodic noises with much more complex spectrum structures. The proposed algorithm is assessed on the basis of various experiments. A comparison with morphological component analysis (MCA), a blind source separation algorithm, is also provided. A Matlab implementation is available. This report is anextension of a published article.

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Affiliations:


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Le document en format XML

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<div type="abstract" xml:lang="en">Quasi-periodic noise may affect digital images. This phenomenon is reflected by spurious repetitive patterns covering the whole image. Quasi-periodic noise is by nature well localized in the Fourier spectrum. A possibility is thus to attenuate it through a well-designed notch filter. In contrast to existing algorithms which require hand-tuned filter design, this research report presents an automated approach based on the expected power spectrum of a natural image. The resulting algorithm enables to eliminate a large range of repetitive structures, from simple periodic noises, whose influence on the image spectrum is limited to a few Fourier coefficients, to quasi-periodic noises with much more complex spectrum structures. The proposed algorithm is assessed on the basis of various experiments. A comparison with morphological component analysis (MCA), a blind source separation algorithm, is also provided. A Matlab implementation is available. This report is anextension of a published article.</div>
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