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Full-Text Articles in Physical Sciences and Mathematics
The Morphology Of Convex Polygons, Stephan Olariu
The Morphology Of Convex Polygons, Stephan Olariu
Computer Science Faculty Publications
A simple polygon P is said to be unimodal if for every vertex of P, the Euclidian distance function to the other vertices of P is unimodal. The study of unimodal polygons has emerged as a fruitful area of computational and discrete geometry. We study unimodality properties of a number of special convex polygons from the morphological point of view. In particular, we establish a hierarchy among three classes of convex polygons in terms of their unimodality properties.