Abstract
Consider a collection of mutually disjoint simple polygons in the plane containing a total of n edges. Two of them are specified as a source polygon S and a target polygon T. We present an efficient algorithm for finding a shortest path between S and T avoiding the other polygons. We show that it runs in O(n 2) time, using a linear-time algorithm for computing the visibility polygon of a point. This problem is related to a wire routing design of a certain type of LSI for which terminals are of polygonal shape and larger than a wire segment.
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