English

Abstract

The paper continues the investigations in (1). We consider the problem of recognition of convex bodies in n-dimensional Euclidean space by k-flats sections, in particular for n=3 by linear or planar sections. This problem is equivalent to recognition of convex bodies by orientation-dependent chord length distributions (for linear sections) and orientation-dependent area distributions (for planar sections). The main goal of the article is to enlarge the class of bodies for which the form of the orientation dependent chord length distribution function and the cross- section area distribution function are known.