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Non-linearization of free Schrödinger equation and pseudo-morphological complex diffusion operators

Jesus Angulo 1
1 CMM - Centre de Morphologie Mathématique
Abstract : The paper deals with a generalization of the complex diffusion in order to introduce pseudo-morphological complex filters which mimic dilation/erosion operators. The non-linearization paradigm is based on the counter-harmonic mean. The physical model underlying complex diffusion is the free Schrödinger equation and consequently the proposed operators can be interpreted as the asymptotic "pseudo-morphological" solution of this fundamental equation. Theoretical results are illustrated with some image filtering examples.
Keywords : Complex filters Diffusion operators Dilation/erosion Dinger equation Fundamental equations Image filtering Laplacians Physical model Theoretical result Diffusion Image processing Linearization Mathematical operators Nonlinear equations Mathematical morphology
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00834436
Contributor : Bibliothèque Mines Paristech <>
Submitted on : Saturday, June 15, 2013 - 9:03:27 AM
Last modification on : Thursday, September 24, 2020 - 4:38:03 PM

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Jesus Angulo. Non-linearization of free Schrödinger equation and pseudo-morphological complex diffusion operators. 18th IEEE International Conference on Image Processing (ICIP), Sep 2011, Bruxelles, Belgium. pp.73-76, ⟨10.1109/ICIP.2011.6116660⟩. ⟨hal-00834436⟩

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