Abstract.
Let P and Q be disjoint polygons in the plane. We consider the problem of finding an optimal bridge (p,q) , p∈ \partial P and q∈ \partial Q , such that the length of the longest path from a point in P , passing through the bridge (p,q) , to a point Q is minimized. We propose efficient algorithms for three cases according to whether P and Q are convex or not. These problems are motivated from the bridge construction between two islands (or the canal construction between two lakes).
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Received September 9, 1999, and in revised form May 31, 2000, and January 2, 2001, and in final form April 26, 2001. Online publication July 25, 2001.
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Kim, S., Shin, CS. Computing the Optimal Bridge between Two Polygons. Theory Comput. Systems 34, 337–352 (2001). https://doi.org/10.1007/s00224-001-1018-2
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DOI: https://doi.org/10.1007/s00224-001-1018-2