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COMPGEOM
2010
ACM
14 years 19 days ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
STOC
2004
ACM
126views Algorithms» more  STOC 2004»
14 years 7 months ago
Bypassing the embedding: algorithms for low dimensional metrics
The doubling dimension of a metric is the smallest k such that any ball of radius 2r can be covered using 2k balls of raThis concept for abstract metrics has been proposed as a na...
Kunal Talwar
ICCV
2007
IEEE
14 years 9 months ago
The 3D-3D Registration Problem Revisited
We describe a new framework for globally solving the 3D-3D registration problem with unknown point correspondences. This problem is significant as it is frequently encountered in ...
Hongdong Li, Richard I. Hartley
ESA
2005
Springer
140views Algorithms» more  ESA 2005»
14 years 1 months ago
Bucket Game with Applications to Set Multicover and Dynamic Page Migration
We present a simple two-person Bucket Game, based on throwing balls into buckets, and we discuss possible players’ strategies. We use these strategies to create an approximation ...
Marcin Bienkowski, Jaroslaw Byrka
TCS
2008
13 years 7 months ago
Finding a minimum medial axis of a discrete shape is NP-hard
The medial axis is a classical representation of digital objects widely used in many applications. However, such a set of balls may not be optimal: subsets of the medial axis may ...
David Coeurjolly, Jérôme Hulin, Isabe...