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Automatic choice of the threshold of a grain filter via Galton-Watson trees. Application to granite cracks detection

Abstract : The goal of this paper is the presentation of a post-processing method allowing to remove impulse noise in binary images, while preserving thin structures. We use a grain filter as in [5]. We propose a method to automatically determine the required threshold using Galton-Watson processes. We present numerical results and a complete analysis on a synthetic image. We end the numerical section considering a specific application to granite samples crack detection: here we deal with X-tomography images that have been binarized via preprocessing techniques and we want to remove residual impulse noise while keeping cracks and micro-cracks structure.
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https://hal.archives-ouvertes.fr/hal-01337551
Contributor : Maïtine Bergounioux <>
Submitted on : Tuesday, January 10, 2017 - 5:22:51 PM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM

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Romain Abraham, Maïtine Bergounioux, Pierre Debs. Automatic choice of the threshold of a grain filter via Galton-Watson trees. Application to granite cracks detection. Journal of Mathematical Imaging and Vision, Springer Verlag, 2018, 6 (1), pp.50-69. ⟨hal-01337551v2⟩

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