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WEA
2010
Springer
311views Algorithms» more  WEA 2010»
13 years 12 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 9 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 9 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 6 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 7 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...