The Delaunay/Voronoi Selection Graph: a Method for Extracting Shape Information from 2-D Dot-Patterns with an Extension to 3-D

In this paper we present the Delaunay/Voronoi selection graph (DVSG), an approach to the representation of the shape of 2-D objects which does not require a complete segmentation, merely a pattern of dots which are believed to lie on the edges of objects. The technique produces both a skeleton and boundary representation and, with subsequent processing, generates a hierarchical description of the topology of individual objects. We compare the DVSG to other methods used for obtaining information from dot-patterns, and show how this technique can be extended to 3-D.

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