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» Visibility Graphs and Oriented Matroids
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EJC
2006
14 years 11 months ago
The positive Bergman complex of an oriented matroid
We study the positive Bergman complex B+ (M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid M. The positiv...
Federico Ardila, Caroline J. Klivans, Lauren Willi...
DCG
2000
90views more  DCG 2000»
14 years 11 months ago
On the Cocircuit Graph of an Oriented Matroid
In this paper we consider the cocircuit graph GM of an oriented matroid M, the 1-skeleton of the cell complex W formed by the span of the cocircuits of M. In general, W is not dete...
Raul Cordovil, Komei Fukuda, António Guedes...
60
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ICRA
2006
IEEE
93views Robotics» more  ICRA 2006»
15 years 5 months ago
Oriented Visibility Graphs: Low-complexity Planning in Real-time Environments
David Wooden, Magnus Egerstedt
ECCV
2006
Springer
16 years 1 months ago
Oriented Visibility for Multiview Reconstruction
Visibility estimation is arguably the most difficult problem in dense 3D reconstruction from multiple arbitrary views. In this paper, we propose a simple new approach to estimating...
Victor S. Lempitsky, Yuri Boykov, Denis V. Ivanov
GD
2005
Springer
15 years 5 months ago
Applications of Parameterized st-Orientations in Graph Drawing Algorithms
Abstract. Many graph drawing algorithms use st-numberings (st-orientations or bipolar orientations) as a first step. An st-numbering of a biconnected undirected graph defines a d...
Charalampos Papamanthou, Ioannis G. Tollis