Adaptive scale selection for Multiscale image Denoising

Federico Angelini, Vittoria Bruni, Ivan Selesnick, Domenico Vitulano

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Adaptive transforms are required for better signal analysis and processing. Key issue in finding the optimal expansion basis for a given signal is the representation of signal information with very few elements of the basis. In this context a key role is played by the multiscale transforms that allow signal representation at different resolutions. This paper presents a method for building a multiscale transform with adaptive scale dilation factors. The aim is to promote sparsity and adaptiveness both in time and scale. To this aim interscale relationships of wavelet coefficients are used for the selection of those scales that measure significant changes in signal information. Then, a wavelet transform with variable dilation factor is defined accounting for the selected scales and the properties of coprime numbers. Preliminary experimental results in image denoising by Wiener filtering show that the adaptive multiscale transform is able to provide better reconstruction quality with a minimum number of scales and comparable computational effort with the classical dyadic transform.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages81-92
Number of pages12
Volume9386
DOIs
StatePublished - 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9386
ISSN (Print)03029743
ISSN (Electronic)16113349

Fingerprint

Image denoising
Image Denoising
Signal analysis
Wavelet transforms
Signal processing
Transform
Dilation
Wiener Filtering
Signal Analysis
Coprime
Wavelet Coefficients
Sparsity
Wavelet Transform
Signal Processing
Experimental Results

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Angelini, F., Bruni, V., Selesnick, I., & Vitulano, D. (2015). Adaptive scale selection for Multiscale image Denoising. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9386, pp. 81-92). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9386). Springer Verlag. https://doi.org/10.1007/978-3-319-25903-1_8

Adaptive scale selection for Multiscale image Denoising. / Angelini, Federico; Bruni, Vittoria; Selesnick, Ivan; Vitulano, Domenico.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9386 Springer Verlag, 2015. p. 81-92 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9386).

Research output: Chapter in Book/Report/Conference proceedingChapter

Angelini, F, Bruni, V, Selesnick, I & Vitulano, D 2015, Adaptive scale selection for Multiscale image Denoising. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 9386, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9386, Springer Verlag, pp. 81-92. https://doi.org/10.1007/978-3-319-25903-1_8
Angelini F, Bruni V, Selesnick I, Vitulano D. Adaptive scale selection for Multiscale image Denoising. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9386. Springer Verlag. 2015. p. 81-92. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-25903-1_8
Angelini, Federico ; Bruni, Vittoria ; Selesnick, Ivan ; Vitulano, Domenico. / Adaptive scale selection for Multiscale image Denoising. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9386 Springer Verlag, 2015. pp. 81-92 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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