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Deriving Topological Representations from Edge Images

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Geometry, Morphology, and Computational Imaging

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2616))

Abstract

In order to guarantee consistent descriptions of image structure, it is desirable to base such descriptions on topological principles. Thus, we want to be able to derive topological representations from segmented images. This paper discusses two methods to achieve this goal by means of the recently introduced XPMaps. First, it improves an existing algorithm that derives topological representations from region images and crack edges, and second, it presents a new algorithm that can be applied to standard 8-connected edge images.

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© 2003 Springer-Verlag Berlin Heidelberg

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Köthe, U. (2003). Deriving Topological Representations from Edge Images. In: Asano, T., Klette, R., Ronse, C. (eds) Geometry, Morphology, and Computational Imaging. Lecture Notes in Computer Science, vol 2616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36586-9_20

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  • DOI: https://doi.org/10.1007/3-540-36586-9_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00916-0

  • Online ISBN: 978-3-540-36586-0

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