Imagine a set of self-interested clients, each of whom must choose a server from a permissible set. A server’s latency is inversely proportional to its speed, but it grows linear...
We consider two variants of the well-known “sailor in the fog” puzzle. The first version (the “asteroid surveying” problem) is set in three dimensions and asks for the sh...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
Let P be a set of n points in Rd. The radius of a k-dimensional flat F with respect to P, denoted by RD(F, P), is defined to be maxp∈P dist(F, p), where dist(F, p) denotes the...
This paper describes a shape signature that captures the intrinsic geometric structure of 3D objects. The primary motivation of the proposed approach is to encode a 3D shape into a...