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147
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COMPGEOM
2005
ACM
15 years 5 months ago
Finding the best shortcut in a geometric network
Given a Euclidean graph G in Rd with n vertices and m edges we consider the problem of adding a shortcut such that the stretch factor of the resulting graph is minimized. Currentl...
Mohammad Farshi, Panos Giannopoulos, Joachim Gudmu...
117
Voted
COMPGEOM
2008
ACM
15 years 5 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
146
Voted
COMPGEOM
2008
ACM
15 years 5 months ago
Self-improving algorithms for delaunay triangulations
We study the problem of two-dimensional Delaunay triangulation in the self-improving algorithms model [1]. We assume that the n points of the input each come from an independent, ...
Kenneth L. Clarkson, C. Seshadhri
122
Voted
DGCI
2008
Springer
15 years 5 months ago
Segmenting Simplified Surface Skeletons
A novel method for segmenting simplified skeletons of 3D shapes is presented. The so-called simplified Y-network is computed, defining boundaries between 2D sheets of the simplifie...
Dennie Reniers, Alexandru Telea
252
Voted
COMPGEOM
2011
ACM
14 years 7 months ago
Ant-sweep: a decentral strategy for cooperative cleaning in expanding domains
Several recent works considered cooperative cleaning in static and dynamic environments, which incorporates a swarm of simple robots cleaning an expanding region of contaminated c...
Thilo Beckmann, Rolf Klein, David Kriesel, Elmar L...