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COMPGEOM
2006
ACM
15 years 3 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 3 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 3 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 3 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
COMPGEOM
2004
ACM
15 years 3 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