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Grey-Weighted, Ultrametric and Lexicographic Distances

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Mathematical Morphology: 40 Years On

Part of the book series: Computational Imaging and Vision ((CIVI,volume 30))

Abstract

Shortest distances, grey weighted distances and ultrametric distance are classically used in mathematical morphology. We introduce a lexicographic distance, for which any segmentation with markers becomes a Voronoï tessellation.

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© 2005 Springer

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Meyer, F. (2005). Grey-Weighted, Ultrametric and Lexicographic Distances. In: Ronse, C., Najman, L., Decencière, E. (eds) Mathematical Morphology: 40 Years On. Computational Imaging and Vision, vol 30. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3443-1_26

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  • DOI: https://doi.org/10.1007/1-4020-3443-1_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3442-8

  • Online ISBN: 978-1-4020-3443-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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