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Generalised Morphological Image Diffusion

Abstract : Relationships between linear and morphological scale-spaces have been considered by various previous works. The aim of this paper is to study how to generalise the diffusion-based approaches in order to introduce nonlinear filters whose effects mimic morphological dilation and erosion. A methodology based on the counter-harmonic mean is adopted here. Details of numerical implementation are discussed and results are provided to illustrate the behaviour of various studied cases: isotropic, nonlinear and coherence-enhancing diffusion. We also rediscover the classical link between Gaussian scale-space and dilation/erosion scale-spaces based on quadratic structuring functions.
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Preprints, Working Papers, ...
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00789162
Contributor : Jesus Angulo Connect in order to contact the contributor
Submitted on : Saturday, February 16, 2013 - 9:28:12 AM
Last modification on : Wednesday, November 17, 2021 - 12:27:12 PM
Long-term archiving on: : Friday, May 17, 2013 - 3:53:17 AM

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  • HAL Id : hal-00789162, version 1

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Jesus Angulo. Generalised Morphological Image Diffusion. 2011. ⟨hal-00789162v1⟩

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