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» Optimal Binary Space Partitions in the Plane
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SIBGRAPI
2008
IEEE
13 years 12 months ago
Approximations by Smooth Transitions in Binary Space Partitions
This work proposes a simple approximation scheme for discrete data that leads to an infinitely smooth result without global optimization. It combines the flexibility of Binary Sp...
Marcos Lage, Alex Laier Bordignon, Fabiano Petrone...
RSCTC
2000
Springer
143views Fuzzy Logic» more  RSCTC 2000»
13 years 9 months ago
On Efficient Construction of Decision Trees from Large Databases
The main task in decision tree construction algorithms is to find the "best partition" of the set of objects. In this paper, we investigate the problem of optimal binary ...
Hung Son Nguyen
COMGEO
2010
ACM
13 years 5 months ago
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time and linear space an encompassing tree of maximum degree three such that at every vertex all incid...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
COMPGEOM
2009
ACM
14 years 1 days ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
ISVD
2007
IEEE
13 years 11 months ago
Two-dimensional line space Voronoi Diagram
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...
Stéphane Rivière, Dominique Schmitt