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Part of the book series: Computational Imaging and Vision ((CIVI,volume 18))

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Abstract

Morphological attribute openings and closings and related operators are generalizations of the area opening and closing, and allow filtering of images based on a wide variety of shape or size based criteria. A fast union-find algorithm for the computation of these operators is presented in this paper. The new algorithm has a worst case time complexity of O(N log N) where N is the image size, as opposed to O (N 2 log N) for the existing algorithm. Memory requirements are O(N) for both algorithms.

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© 2002 Kluwer Academic/Plenum Publishers

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Wilkinson, M.H.F., Roerdink, J.B.T.M. (2002). Fast Morphological Attribute Operations Using Tarjan’s Union-Find Algorithm. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 18. Springer, Boston, MA. https://doi.org/10.1007/0-306-47025-X_34

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  • DOI: https://doi.org/10.1007/0-306-47025-X_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-7862-4

  • Online ISBN: 978-0-306-47025-7

  • eBook Packages: Springer Book Archive

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