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Matematicheskoe modelirovanie, 2014, Volume 26, Number 12, Pages 3–13 (Mi mm3550)  

This article is cited in 1 scientific paper (total in 1 paper)

Effective rigid body search using generalized 5D Fourier transform

A. M. Kazennova, A. E. Alekseenkoa, D. Kozakovb, D. N. Padhornya, Ya. A. Kholodova

a Moscow Institute of Physics and Technology, Department of computational mathematics, Russia
b Biomedical Engineering, Boston University, USA
Full-text PDF (484 kB) Citations (1)
References:
Abstract: In this work the new effective rigid body search algorithm is developed. The problem of rigid body search often emerges in shape matching, e.g. in protein-protein docking. The proposed method is based on exhaustive search in spherical polar Fourier space and employs 5D generalized FFT to accelerate the calculations. The main advantage of this approach is the fast calculation of multi-property scoring functions, lowering computational costs of high accuracy search.
Keywords: generalized Fourier transform, fast Fourier transform, spherical Fourier transform, spherical functions, radial harmonics, convolution, 3D shape matching, rigid body search, docking.
Received: 21.11.2013
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 4, Pages 315–322
DOI: https://doi.org/10.1134/S2070048215040043
Bibliographic databases:
Document Type: Article
UDC: 004.42+519.6+577.2
Language: Russian
Citation: A. M. Kazennov, A. E. Alekseenko, D. Kozakov, D. N. Padhorny, Ya. A. Kholodov, “Effective rigid body search using generalized 5D Fourier transform”, Matem. Mod., 26:12 (2014), 3–13; Math. Models Comput. Simul., 7:4 (2015), 315–322
Citation in format AMSBIB
\Bibitem{KazAleKoz14}
\by A.~M.~Kazennov, A.~E.~Alekseenko, D.~Kozakov, D.~N.~Padhorny, Ya.~A.~Kholodov
\paper Effective rigid body search using generalized 5D Fourier transform
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 12
\pages 3--13
\mathnet{http://mi.mathnet.ru/mm3550}
\elib{https://elibrary.ru/item.asp?id=23421450}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 4
\pages 315--322
\crossref{https://doi.org/10.1134/S2070048215040043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937795048}
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  • https://www.mathnet.ru/eng/mm/v26/i12/p3
  • 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
    Математическое моделирование
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    Abstract page:356
    Full-text PDF :80
    References:59
    First page:27
     
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