Abstract
In this paper, we present an &Ogr;(n log n) algorithm for finding the minimum Euclidean visible vertex distance between two nonintersecting simple polygons, where n is the number of vertices in a polygon. The algorithm is based on applying a divide and conquer method to two preprocessed facing boundaries of the polygons. We also derive an &Ogr;(n log n) algorithm for finding a minimum sequence of separating line segments between two nonintersecting polygons.

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