Orientation-Dependent Chord Length Distribution Function for Right Prisms with Rectangular or Right Trapezoidal Bases

Abstract

The paper continues the research to reconstruct a convex body in $${\mathbb{R}}^{n}$$ from the distribution of characteristics of its $$k$$ -dimensional sections ( $$k<n$$ ). In this paper we obtain explicit expressions for the covariogram and the orientation-dependent chord length distribution of right prisms with rectangular or right trapezoidal bases.