Yannis Bakopoulos

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Starting from the pioneering paper of H. Blum [13], the medial axis as a descriptor and classifier of shapes and figures has been established as the best defined and studied mathematical concept in reference to thinning and skeletonization of contours and shapes [6, 7, 8, 9, 10, 11, 12, 14]. From the various mathematical tools (Maximal disks, cut loci,(More)
In this paper we describe a novel concept for classification of complex parametric geometry based on the concept of the Divider Set. The Divider Set is an alternative concept to maximal disks, Voronoi sets and cut loci. The Divider Set is based on a formal definition relating to topology and differential geometry. In this paper firstly we discuss the formal(More)
Starting from the pioneering paper of H. Blum [13], the medial axis as a descriptor and classifier of shapes and figures has been established as the best defined and studied mathematical concept in reference to thinning and skeletonization of contours and shapes [6, 7, 8, 9, 10, 11, 12, 14]. From the various mathematical tools (Maximal disks, cut loci,(More)
We have created an innovative method for the production of binary series of arbitrary length, which appear to be random to an uninformed third party. Our method is based on the symbolic dynamics of a special family of recursive maps exhibiting extremely complex trajectories in their phase space. Among other applications, our binary series can be used as(More)
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