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Pré-Publication, Document De Travail Année : 2011

Generalised Morphological Image Diffusion

Jesus Angulo

Résumé

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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Dates et versions

hal-00789162 , version 1 (16-02-2013)
hal-00789162 , version 2 (26-10-2013)
hal-00789162 , version 3 (21-01-2015)
hal-00789162 , version 4 (17-01-2016)

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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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