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ICRA
2002
IEEE
98views Robotics» more  ICRA 2002»
13 years 10 months ago
Sensor-Based Exploration for Convex Bodies: A New Roadmap for a Convex-Shaped Robot
We present a new algorithm that enables a convex shaped robot to explore an unknown planar workspace, i.e., an unknown configuration space diffeomorphic to SE(2). This new algor...
Ji Yeong Lee, Howie Choset
COMPGEOM
2003
ACM
13 years 10 months ago
Planar minimally rigid graphs and pseudo-triangulations
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than π). In this paper we prove that the ...
Ruth Haas, David Orden, Günter Rote, Francisc...
COMPGEOM
1996
ACM
13 years 9 months ago
Convex Drawings of Graphs in Two and Three Dimensions (Preliminary Version)
We provideO(n)-timealgorithmsfor constructingthe following types of drawings of n-vertex 3-connectedplanar graphs: 2D convex grid drawings with (3n) (3n=2) area under the edge L1-...
Marek Chrobak, Michael T. Goodrich, Roberto Tamass...
GD
2005
Springer
13 years 10 months ago
C-Planarity of Extrovert Clustered Graphs
A clustered graph has its vertices grouped into clusters in a hierarchical way via subset inclusion, thereby imposing a tree structure on the clustering relationship. The c-planari...
Michael T. Goodrich, George S. Lueker, Jonathan Z....
GD
2006
Springer
13 years 9 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel