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JACM
2010
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13 years 10 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
JMMA
2002
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13 years 11 months ago
Implicit Convex Polygons
Convex polygons in the plane can be defined explicitly as an ordered list of vertices, or given implicitly, for example by a list of linear constraints. The latter representation h...
Francisco Gómez, Ferran Hurtado, Suneeta Ra...
IWPEC
2009
Springer
14 years 6 months ago
The Parameterized Complexity of Some Geometric Problems in Unbounded Dimension
We study the parameterized complexity of the following fundamental geometric problems with respect to the dimension d: i) Given n points in Rd, compute their minimum enclosing cyl...
Panos Giannopoulos, Christian Knauer, Günter ...