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Communication Dans Un Congrès Année : 2011

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

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Jesus Angulo

Résumé

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.
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Dates et versions

hal-00834436 , version 1 (15-06-2013)

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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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