Particle Number or Density Can Be Stereologically Estimated By Wedge Sections

Abstract
SUMMARY: The information derivable from the traces of a two‐phase medium on the faces of a wedge probe close to its edge is systematically investigated. It is shown that in principle the integral of gaussian curvature over a smooth phase‐phase interface can be estimated from this information. In simple terms, the method allows one to estimate the number of cherries in a cherry‐cake (or more generally the Euler topological characteristic of the cavities in an Emmental cheese) on the basis of observations on and near the edge of a wedge‐shaped slice of the cake (or cheese).