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EUROGRAPHICS
2010
Eurographics
14 years 4 months ago
Procedural Generation of Roads
In this paper, we propose an automatic method for generating roads based on a weighted anisotropic shortest path algorithm. Given an input scene, we automatically create a path co...
Eric Galin, Adrien Peytavie, Nicolas Maréchal, Er...
CCCG
2010
13 years 8 months ago
The traveling salesman problem for lines and rays in the plane
In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of n regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we...
Adrian Dumitrescu
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
13 years 7 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
14 years 1 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis