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» Three problems about dynamic convex hulls
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COMPGEOM
2011
ACM
12 years 8 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan
JACM
2010
135views more  JACM 2010»
13 years 3 months ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan
COMPGEOM
2001
ACM
13 years 8 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
IPPS
2002
IEEE
13 years 9 months ago
An Associative Static and Dynamic Convex Hull Algorithm
This paper presents a new static and dynamic recursive parallel algorithm for the convex hull problem. This algorithm is a parallel adaptation of the Graham Scan and Quick Hull al...
Maher M. Atwah, Johnnie W. Baker
CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 4 months ago
Transdichotomous Results in Computational Geometry, II: Offline Search
We reexamine fundamental problems from computational geometry in the word RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm fo...
Timothy M. Chan, Mihai Patrascu