Geodesic
Object visibility for an observer with inaccurately given coordinates
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 21-28

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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.
Mots-clés : navigation, refinement.
Keywords: visibility characteristic, differentiability 
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     author = {V. I. Berdyshev},
     title = {Object visibility for an observer with inaccurately given coordinates},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {21--28},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a1/}
}
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V. I. Berdyshev. Object visibility for an observer with inaccurately given coordinates. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 21-28. http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a1/