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» Exact solution of two classes of prudent polygons
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EJC
2010
13 years 3 months ago
Exact solution of two classes of prudent polygons
Prudent walks are self-avoiding walks on a lattice which never step into the direction of an already occupied vertex. We study the closed version of these walks, called prudent po...
Uwe Schwerdtfeger
CCCG
2008
13 years 6 months ago
Exact Pareto-Optimal Coordination of Two Translating Polygonal Robots on a Cyclic Roadmap
We consider planning optimal collision-free motions of two polygonal robots under translation. Each robot has a reference point that must lie on a given graph, called a roadmap, w...
Hamid Reza Chitsaz, Steven M. LaValle, Jason M. O'...
CCCG
2006
13 years 6 months ago
Rotationally Monotone Polygons
We introduce a generalization of monotonicity. An n-vertex polygon P is rotationally monotone with respect to a point r if there exists a partitioning of the boundary of P into ex...
Prosenjit Bose, Pat Morin, Michiel H. M. Smid, Ste...
COMPGEOM
2004
ACM
13 years 10 months ago
Inner and outer rounding of set operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementa...
Olivier Devillers, Philippe Guigue
COMGEO
2006
ACM
13 years 5 months ago
Inner and outer rounding of Boolean operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementat...
Olivier Devillers, Philippe Guigue