Stereological Unfolding for Spheroidal Particles
Description
Stereological unfolding as implemented in this package consists in
the estimation of the joint size-shape-orientation distribution of spheroidal
shaped particles based on the same measured quantities of corresponding planar
section profiles. A single trivariate discretized version of the (stereological)
integral equation in the case of prolate and oblate spheroids is solved
numerically by the EM algorithm. The estimation of diameter distribution of
spheres from planar sections (Wicksell's corpuscle problem) is also implemented.
Further, the package provides routines for the simulation of a Poisson germ-
grain process with either spheroids or spheres as grains together with functions
for planar sections. For the purpose of exact simulation a bivariate size-shape
distribution is implemented.