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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 7, Pages 57–66 (Mi ivm7698)  
This article is cited in 10 scientific papers (total in 10 papers)

The use of discrete dyadic wavelets in image processing

Yu. A. Farkov, S. A. Stroganov

Chair of Higher Mathematics and Mathematical Modeling, Russian State Geological Prospecting University, Moscow, Russia
Full-text PDF (219 kB) Citations (10)
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Abstract: In this paper, using the discrete Walsh transform, we construct orthogonal and biorthogonal wavelets for complex periodic sequences similar to those studied earlier for the Cantor group. Results of numerical experiments demonstrate the effectiveness of image processing methods based on the constructed discrete wavelets.
Keywords: dyadic wavelets, spaces of periodic sequences, Walsh functions, discrete Walsh transform, image processing.
Received: 23.03.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 7, Pages 47–55
DOI: https://doi.org/10.3103/S1066369X11070073
Bibliographic databases:
Document Type: Article
UDC: 519.677
Language: Russian
Citation: Yu. A. Farkov, S. A. Stroganov, “The use of discrete dyadic wavelets in image processing”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 7, 57–66; Russian Math. (Iz. VUZ), 55:7 (2011), 47–55
Citation in format AMSBIB
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\paper The use of discrete dyadic wavelets in image processing
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\pages 57--66
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\transl
\jour Russian Math. (Iz. VUZ)
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\pages 47--55
\crossref{https://doi.org/10.3103/S1066369X11070073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051684428}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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