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Optimal Interceptions on Two-Dimensional Grids with Obstacles

Published online by Cambridge University Press:  10 December 2007

Ki Yin Chang ,
Gene Eu Jan ,
Chien-Min Su  and
Ian Parberry
Ki Yin Chang*
Affiliation:
(National Taiwan Ocean University, Taiwan)
Gene Eu Jan
Affiliation:
(National Taipei University, Taiwan)
Chien-Min Su
Affiliation:
(National Taiwan Ocean University, Taiwan)
Ian Parberry
Affiliation:
(University of North Texas, USA)
*
(Email: [email protected])
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Abstract

This article presents efficient and practical methods for path planning of optimal interceptions on two-dimensional grids with obstacles, such as raster charts or non-distorted digital maps. The proposed methods search for optimal paths from sources to multiple moving-targets by a novel higher geometry wave propagation scheme in the grids, instead of the traditional vector scheme in the graphs. By introducing a time-matching scheme, the optimal interception paths from sources to all the moving-targets are obtained among the combinations with linear time and space complexities. Two optimal path planning methods for multiple one-to-one interceptions, the MIN-MAX and MIN-AVG, are applied to emulate the real routing.

Keywords

InterceptionHigher geometry maze routerMultiple moving-targetsRaster charts
Type
Research Article
Information
The Journal of Navigation , Volume 61 , Issue 1 , January 2008 , pp. 31 - 43
Copyright
Copyright © The Royal Institute of Navigation 2007

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References

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