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A methodology for an analytical derivation of visibility probabilities of n stationary target points in the plane is developed for the case when shadows are cast by a Poisson random field of obscuring elements. In addition, formulae for the moments of a measure of the total proportional visibility along a star-shaped curve are given.doi:10.1017/s0021900200108010 fatcat:7cpagcg5hzh6nlpmraw5zm3xt4