Automatic Choice of the Threshold of a Grain Filter via Galton–Watson Trees: Application to Granite Cracks Detection

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. We propose a method to automatically determine the required threshold using Galton–Watson processes. We present numerical...

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Bibliographic Details
Published in:Journal of mathematical imaging and vision 2018, Vol.60 (1), p.50-69
Main Authors: Abraham, Romain, Bergounioux, Maïtine, Debs, Pierre
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computer Science
Cracks
Granite
Image detection
Image Processing and Computer Vision
Mathematical Methods in Physics
Microcracks
Nondestructive testing
Post-processing
Preprocessing
Signal,Image and Speech Processing
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Summary: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. 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.
ISSN:0924-9907
1573-7683
DOI:10.1007/s10851-017-0743-3