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Pseudo-morphological Image Diffusion Using the Counter-Harmonic Paradigm

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 generalize the diffusion-based approaches in order to introduce nonlinear filters which 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-enhanced 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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Submitted on : Saturday, June 15, 2013 - 3:42:56 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:09 PM

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Jesus Angulo. Pseudo-morphological Image Diffusion Using the Counter-Harmonic Paradigm. 12th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2010, Dec 2010, Sydney, Australia. pp.426-437, ⟨10.1007/978-3-642-17688-3_40⟩. ⟨hal-00834485⟩



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