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SODA
2008
ACM
86views Algorithms» more  SODA 2008»
14 years 13 days ago
Space-efficient dynamic orthogonal point location, segment intersection, and range reporting
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...
Guy E. Blelloch
COMPGEOM
2011
ACM
13 years 2 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
FOCS
2009
IEEE
14 years 5 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...