Abstract
Unbiased stereological estimators of d-dimensional volume in ℝ n are derived, based on information from an isotropic random r-slice through a specified point. The content of the slice can be subsampled by means of a spatial grid. The estimators depend only on spatial distances. As a fundamental lemma, an explicit formula for the probability that an isotropic random r-slice in ℝ n through O hits a fixed point in ℝ n is given.
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