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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

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.

UDC: 519.62

Received: 21.05.2009


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

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