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

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.
Type de document :
Communication dans un congrès
18th IEEE International Conference on Image Processing (ICIP), Sep 2011, Bruxelles, Belgium. IEEE, pp.73-76, 2011, 〈10.1109/ICIP.2011.6116660〉
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00834436
Contributeur : Bibliothèque Mines Paristech <>
Soumis le : samedi 15 juin 2013 - 09:03:27
Dernière modification le : vendredi 27 octobre 2017 - 17:36:02

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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. IEEE, pp.73-76, 2011, 〈10.1109/ICIP.2011.6116660〉. 〈hal-00834436〉

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