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

DOI10.1007/s10851-017-0743-3zbMath1425.94005OpenAlexW2586166611MaRDI QIDQ1701994

Pierre Debs, Romain Abraham, Bergounioux, Maïtine

Publication date: 27 February 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-017-0743-3

zbMATH Keywords

image processingcracksGalton-Watsongrain filters

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Uses Software

• MegaWave

Cites Work

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• Mathematical analysis of a inf-convolution model for image processing
• Continuum percolation and Euclidean minimal spanning trees in high dimensions
• Meaningful alignments
• Grain filters
• Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees
• From Gestalt theory to image analysis. A probabilistic approach.
• Image denoising by statistical area thresholding
• The total progeny in a branching process and a related random walk

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