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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 167–180 (Mi znsl518)  
This article is cited in 1 scientific paper (total in 1 paper)

The quasi-convolutions and the applications to the coded images

L. B. Klebanova, J. F. Crouzedb

a St. Petersburg State University of Architecture and Civil Engineering
b Université Bordeaux 1
Full-text PDF (217 kB) Citations (1)
Abstract: In this paper we introduce a new integral operator, which we call as a quasi-convoluation. The kernel of this operator is analogical to the kernel of the operator of usual convolution, but has a variable scale. Classical inversion by usual Fourier transformation is not possible in this case, but we give the examples of the inversion for the special cases in one and two dimensions. We give also the applications for a recognition of the images in medicine, where the quasi-convolutions are connected with a transformation of the coded images.
Received: 05.09.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1120–1126
DOI: https://doi.org/10.1007/BF02673633
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. B. Klebanov, J. F. Crouzed, “The quasi-convolutions and the applications to the coded images”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 167–180; J. Math. Sci. (New York), 99:2 (2000), 1120–1126
Citation in format AMSBIB
\Bibitem{KleCro97}
\by L.~B.~Klebanov, J.~F.~Crouzed
\paper The quasi-convolutions and the applications to the coded images
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 167--180
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl518}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700387}
\zmath{https://zbmath.org/?q=an:0953.44003}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1120--1126
\crossref{https://doi.org/10.1007/BF02673633}
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  • https://www.mathnet.ru/eng/znsl/v244/p167
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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