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Visibility probabilities on line segments in three‐dimensional spaces subject to random poisson fields of obscuring spheres
Author(s) -
Yadin M.,
Zacks S.
Publication year - 1988
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198808)35:4<555::aid-nav3220350409>3.0.co;2-y
Subject(s) - poisson distribution , spheres , visibility , mathematics , line (geometry) , distribution (mathematics) , mathematical analysis , random field , real line , field (mathematics) , statistical physics , geometry , pure mathematics , physics , statistics , optics , astronomy
The methodology of determining simultaneous visibility probabilities and points on line segments is extended to problems of three‐dimensional spaces, with Poisson random fields of obscuring spheres. Required functions are derived analytically and a numerical example is given for a special case of a standard Poisson field, with uniform distribution of sphere diameters.