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JACM
2010
135views more  JACM 2010»
13 years 2 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
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
COMPGEOM
2004
ACM
13 years 10 months ago
Towards in-place geometric algorithms and data structures
For many geometric problems, there are efficient algorithms that use surprisingly very little extra space other than the given array holding the input. For many geometric query pr...
Hervé Brönnimann, Timothy M. Chan, Eri...
STOC
2002
ACM
140views Algorithms» more  STOC 2002»
14 years 4 months ago
Finding nearest neighbors in growth-restricted metrics
Most research on nearest neighbor algorithms in the literature has been focused on the Euclidean case. In many practical search problems however, the underlying metric is non-Eucl...
David R. Karger, Matthias Ruhl