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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 3, Pages 21–28 (Mi timm403)  
This article is cited in 6 scientific papers (total in 7 papers)

Object visibility for an observer with inaccurately given coordinates

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (153 kB) Citations (7)
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Abstract: A characteristic is introduced for the visibility of a moving object in the case when the coordinates of the observer are known with an error. The directional differentiability of this characteristic is proved, a differentiation formula is found in the form of an extremal problem, and a refinement theorem is established for this problem.
Keywords: navigation, visibility characteristic, differentiability, refinement.
Received: 23.03.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2010, Volume 268, Issue 1, Pages S15–S22
DOI: https://doi.org/10.1134/S0081543810050020
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: V. I. Berdyshev, “Object visibility for an observer with inaccurately given coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 3, 2009, 21–28; Proc. Steklov Inst. Math., 268, suppl. 1 (2010), S15–S22
Citation in format AMSBIB
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\vol 15
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\crossref{https://doi.org/10.1134/S0081543810050020}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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