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A Gradient Search Algorithm for the Maximal Visible Area Polygon Problem

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Figure

Figure 1. Simple polygons with hidden areas. (a) A simple polygon containing a reflex vertex; (b) A region created by a chain of vertices which are not visible from an observation point
Figure 2. A cross shaped polygon. (a) The visible polygon from point p1  (area = 93.6%); (b) The visible polygon from point p  (area = 82.9%); (c) The area function
Figure 3. (a) A reflection point p′ , with respect to a given viewpoint p  and an active reflex vertex s ; (b) Left and right hand hidden regions with respect to a given viewpoint p
Figure 6. A simple polygon with a left hand hidden region.
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