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Trudy Inst. Mat. i Mekh. UrO RAN, 2009, Volume 15, Number 4, Pages 44–51 (Mi timm425)  

Object visibility for a group of observers with inaccurately given coordinates

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: A function is introduced that characterizes the relative visibility of a moving object for an observer with inaccurately given coordinates. The directional differentiability of this function is established and, for the case of a moving observer, a differentiation formula is given. The visibility characteristic of an object for a group of observers is defined and the problem of minimizing this characteristic is considered.

Keywords: visibility characterization of a moving object, directional differentiability.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, 269, suppl. 1, S40–S47

UDC: 519.62
Received: 21.05.2009

Citation: V. I. Berdyshev, “Object visibility for a group of observers with inaccurately given coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 44–51; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S40–S47

Citation in format AMSBIB
\Bibitem{Ber09}
\by V.~I.~Berdyshev
\paper Object visibility for a~group of observers with inaccurately given coordinates
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 44--51
\mathnet{http://mi.mathnet.ru/timm425}
\elib{http://elibrary.ru/item.asp?id=12952754}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S40--S47
\crossref{https://doi.org/10.1134/S0081543810060052}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962426758}


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