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WEA
2010
Springer
311views Algorithms» more  WEA 2010»
14 years 2 months ago
Geometric Minimum Spanning Trees with GeoFilterKruskal
Let P be a set of points in Rd . We propose GEOFILTERKRUSKAL, an algorithm that computes the minimum spanning tree of P using well separated pair decomposition in combination with ...
Samidh Chatterjee, Michael Connor, Piyush Kumar
FOCS
1992
IEEE
13 years 11 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
COMPGEOM
1993
ACM
13 years 11 months ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
13 years 8 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein
NI
2011
168views more  NI 2011»
12 years 10 months ago
Automated Reconstruction of Dendritic and Axonal Trees by Global Optimization with Geometric Priors
We present a novel probabilistic approach to fully automated delineation of tree structures in noisy 2D images and 3D image stacks. Unlike earlier methods that rely mostly on local...
Engin Türetken, Germán González...