Excerpt from Robotics Research Technical Report: Computing the Link Center of a Simple Polygon
This paper concerns itself with analysis and calculation of the link center of a simple planar polygon P having n sides. The notion of a link distance between two points x, y inside P has been recently introduced in [sul]; it is defined as the smallest number of links (i.s. Straight segments) in a polygonal path connecting x and y within P, and is a useful metric for path planning within P when straight motion is easy to accomplish but turns are expensive.
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