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15 years 5 months ago
DIJKSTRA’S and Fast Marching Method for Optimal Path Planning
This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
RYO TAKEI
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
14 years 20 days ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
FCT
1995
Springer
13 years 9 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...
COMGEO
2006
ACM
13 years 6 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
ICDE
2008
IEEE
190views Database» more  ICDE 2008»
14 years 7 months ago
Efficient Query Processing in Large Traffic Networks
Abstract-- We present an original graph embedding to speedup distance-range and k-nearest neighbor queries on static and/or dynamic objects located on a (weighted) graph. Our metho...
Hans-Peter Kriegel, Matthias Renz, Peer Kröge...