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COMPGEOM
2005
ACM
15 years 8 months ago
Learning smooth objects by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
COMPGEOM
2005
ACM
15 years 8 months ago
The skip quadtree: a simple dynamic data structure for multidimensional data
We present a new multi-dimensional data structure, which we call the skip quadtree (for point data in R2) or the skip octree (for point data in Rd, with constant d > 2). Our da...
David Eppstein, Michael T. Goodrich, Jonathan Z. S...
178
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COCOA
2008
Springer
15 years 8 months ago
New Algorithms for k-Center and Extensions
The problem of interest is covering a given point set with homothetic copies of several convex containers C1,...,Ck, while the objective is to minimize the maximum over the dilatat...
René Brandenberg, Lucia Roth
DIALM
2008
ACM
135views Algorithms» more  DIALM 2008»
15 years 8 months ago
Symmetric range assignment with disjoint MST constraints
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
Eric Schmutz
ESA
2008
Springer
126views Algorithms» more  ESA 2008»
15 years 8 months ago
Space-Time Tradeoffs for Proximity Searching in Doubling Spaces
Abstract. We consider approximate nearest neighbor searching in metric spaces of constant doubling dimension. More formally, we are given a set S of n points and an error bound &g...
Sunil Arya, David M. Mount, Antoine Vigneron, Jian...