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COMPGEOM
2006
ACM
15 years 10 months ago
Random triangulations of planar point sets
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
Micha Sharir, Emo Welzl
DGCI
2005
Springer
15 years 10 months ago
Geometric Robot Mapping
Abstract. The purpose of this paper is to present a technique to create a global map of a robot’s surrounding by converting the raw data acquired from a scanning sensor to a comp...
Rolf Lakämper, Longin Jan Latecki, Xinyu Sun,...
DGCI
2005
Springer
15 years 10 months ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...
COMPGEOM
2004
ACM
15 years 10 months ago
Pushing squares around
We study dynamic self-reconfiguration of modular metamorphic systems. We guarantee the feasibility of motion planning in a rectangular model consisting of square modules that are...
Adrian Dumitrescu, János Pach
155
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COMPGEOM
2004
ACM
15 years 10 months ago
Range counting over multidimensional data streams
We consider the problem of approximate range counting over streams of d-dimensional points. In the data stream model, the algorithm makes a single scan of the data, which is prese...
Subhash Suri, Csaba D. Tóth, Yunhong Zhou