Distribution functions of sections and projections of convex bodies
Metric Geometry
2017-05-04 v1
Abstract
Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction. Suppose now that we can only get the information about the sizes of sections (or projections), and not about the corresponding directions. In this paper we study to what extent the distribution function of the areas of central sections (or projections) of a convex body can be used to derive some information about the body, its volume, etc.
Keywords
Cite
@article{arxiv.1512.07289,
title = {Distribution functions of sections and projections of convex bodies},
author = {Jaegil Kim and Vladyslav Yaskin and Artem Zvavitch},
journal= {arXiv preprint arXiv:1512.07289},
year = {2017}
}