7. Stereology
The fourteenth general mathematical framework is that of stereology, which is a branch of mathematics—more specifically, geometry associated with probability theory. Modern stereology is historically based on integral geometry (first half of the 20th century) and spatial statistics, and more recently (late 20th century) on stochastic geometry.
7.1 Inverse Problem
Stereology deals with the quantitative estimation of geometric information in n-dimensional Euclidean spaces (n ≥ 1) based on spatial samples of dimensions strictly less than n, obtained through intersections and/or projections.
A 3D ball distribution (Figure 21 a), a planar cross-section...
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Stereology
Discrete Geometry
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