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Titlebook: Combinatorial Image Analysis; 18th International W Valentin E. Brimkov,Reneta P. Barneva Conference proceedings 2017 Springer International

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Construction of Persistent Voronoi Diagram on 3D Digital Planeh the real-space VD. As a solution, we introduce a novel concept of ., which is ensured by the Euclidean metric spanning over the . of .. Necessary proofs and some visual result have been provided to adjudge the merit and usefulness of the proposed concept.
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Conference proceedings 2017ne 2017. The 27 revised full papers presented were carefully reviewed and selected from 47 submissions..The workshop is organized in topical sections of theoretical foundations and theory of applications, namely: discrete geometry and topology; tilings and patterns; grammars, models and other techni
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Construction of Thinnest Digital Ellipsoid Using Inverse Projection and Recursive Integer Intervalsr points comprising the digital ellipsoid. This, in turn, helps in designing an efficient algorithm for its construction in the integer space. The algorithm, in principle, is based on inverse projection of digital elliptical discs and the functional-plane relation of voxels comprising the digital ellipsoid.
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A Relational Generalization of the Khalimsky Topologydigital plane for the study of geometric properties of digital images. For ., such a structure coincides with the (specialization order of the) Khalimsky topology and, for ., it allows for a variety of Jordan curves richer than that provided by the Khalimsky topology.
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Principles of Bacterial Ecology a geometric political-districting algorithm that views distance in economic terms, and we experiment with weighted versions of stable .-means in order to improve the connectivity of the resulting clusters.
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