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Computer Optics, 2018, Volume 42, Issue 1, Pages 96–104
DOI: https://doi.org/10.18287/2412-6179-2018-42-1-96-104
(Mi co483)
 

This article is cited in 5 scientific papers (total in 5 papers)

IMAGE PROCESSING, PATTERN RECOGNITION

Matching of images based on their diffeomorphic mapping

S. V. Lejhtera, S. N. Chukanovb

a Siberian State Automobile Engineering University, Omsk, Russia
b Sobolev Institute of Mathematics of the Siberian Branch of the RAS, Omsk branch, Russia
Full-text PDF (508 kB) Citations (5)
References:
Abstract: We discuss a problem of comparison of two diffeomorphic images, namely, the source and target images of a diffeomorphism, which are given by two sets of points. The problem is solved on the basis of a method of constructing a minimized functional characterizing the evolution of the diffeomorphic source-to-target image transformation and a penalty for the image path deviation from the required trajectory. An algorithm for solving the diffeomorphic transformation equation is developed on the basis of the gradient descent method. The considered problem of comparison of two images can be used for constructing an optimal metamorphism of images, when there is no exact correspondence between the source and target images of the diffeomorphism.
Keywords: pattern recognition, learning, Euler-Poincaré equation, diffeomorphic transformations, metamorphism.
Received: 10.07.2017
Accepted: 07.11.2017
Document Type: Article
Language: Russian
Citation: S. V. Lejhter, S. N. Chukanov, “Matching of images based on their diffeomorphic mapping”, Computer Optics, 42:1 (2018), 96–104
Citation in format AMSBIB
\Bibitem{LejChu18}
\by S.~V.~Lejhter, S.~N.~Chukanov
\paper Matching of images based on their diffeomorphic mapping
\jour Computer Optics
\yr 2018
\vol 42
\issue 1
\pages 96--104
\mathnet{http://mi.mathnet.ru/co483}
\crossref{https://doi.org/10.18287/2412-6179-2018-42-1-96-104}
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  • https://www.mathnet.ru/eng/co/v42/i1/p96
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Optics
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    Abstract page:192
    Full-text PDF :64
    References:30
     
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