Geodesic
Object visibility for a~group of observers with inaccurately given coordinates
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 44-51

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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. 
@article{TIMM_2009_15_4_a4,
     author = {V. I. Berdyshev},
     title = {Object visibility for a~group of observers with inaccurately given coordinates},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {44--51},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_4_a4/}
}
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V. I. Berdyshev. Object visibility for a~group of observers with inaccurately given coordinates. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 44-51. http://geodesic.mathdoc.fr/item/TIMM_2009_15_4_a4/