Packing Convex Bodies by Cylinders

In [BL] in relation to the unsolved Bang’s plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer’s results ([Fa]).

• Type: Journal
• Year: 2016
• Where: DCG
• Authors: Károly Bezdek, Alexander E. Litvak
• Keywords: Computer Graphics, DCG 2016