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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 7–19 (Mi timm692)  
This article is cited in 5 scientific papers (total in 6 papers)

Object and observer: A surveillance problem

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (203 kB) Citations (6)
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Abstract: The property of the visibility of an object for an observer is studied in the case when the motion takes place in a space with a fixed bodily set impeding the visibility. Directional derivatives of the visibility function are calculated. The problem of tracking the object by the observer is considered, when the object aims to minimize and the observer aims to maximize the maximum of the visibility function. An algorithm for constructing a trajectory that is best for the object is given for the case when the observer acts optimally.
Keywords: object, observer, visibility function, tracking problem, trajectory.
Received: 04.02.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 276, Issue 1, Pages S35–S47
DOI: https://doi.org/10.1134/S0081543812020034
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. I. Berdyshev, “Object and observer: A surveillance problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 7–19; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S35–S47
Citation in format AMSBIB
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\paper Object and observer: A~surveillance problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\issue 2
\pages 7--19
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 276
\issue , suppl. 1
\pages S35--S47
\crossref{https://doi.org/10.1134/S0081543812020034}
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  • https://www.mathnet.ru/eng/timm/v17/i2/p7
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    References:55
    First page:11
     
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