STEREOLOGY WITH CYLINDER PROBES.

Intersection formulae of Crofton type for general geometric probes are well known in integral geometry. For the special case of cylinders with non necessarily convex directrix, however, no equivalent formula seems to exist in the literature. We derive this formula resorting to motion invariant probability elements associated with test systems, instead of using a traditional approach. Because cylinders are seldom used as probes in streological practice, however, this note is mainly of a theoretical nature. [ABSTRACT FROM AUTHOR]