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» Mapping planar graphs into the Coxeter graph
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TCS
2008
14 years 9 months ago
Succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
STOC
1998
ACM
129views Algorithms» more  STOC 1998»
15 years 1 months ago
Planar Map Graphs
We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
IROS
2009
IEEE
129views Robotics» more  IROS 2009»
15 years 4 months ago
Topological maps based on graphs of planar regions
Eduardo Montijano, Carlos Sagüés
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
14 years 11 months ago
Matching planar maps
The subject of this paper are algorithms for measuring the similarity of patterns of line segments in the plane, a standard problem in, e.g., computer vision, geographic informati...
Helmut Alt, Alon Efrat, Günter Rote, Carola W...
ICRA
1999
IEEE
138views Robotics» more  ICRA 1999»
15 years 1 months ago
Efficient Topological Exploration
We consider the robot exploration of a planar graphlike world. The robot's goal is to build a complete map of its environment. The environment is modeled as an arbitrary undi...
Ioannis M. Rekleitis, Vida Dujmovic, Gregory Dudek