Title :
Non-linearization of free schrodinger equation and pseudo-morphological complex diffusion operators
Author_Institution :
CMM (Centre de Morphologie Math., Math. et Syst.), Mines ParisTech, Paris, France
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 Schrodinger 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 :
Schrodinger equation; diffusion; mathematical operators; counterharmonic mean; dilation operator; erosion operator; free Schrodinger equation; image filtering; nonlinearization; pseudomorphological complex diffusion operators; Equations; Image edge detection; Kernel; Laplace equations; Mathematical model; Morphology; complex diffusion; mathematical morphology; morphologicalcomplex operators; parabolic nonlinear laplacian;
Conference_Titel :
Image Processing (ICIP), 2011 18th IEEE International Conference on
Conference_Location :
Brussels
Print_ISBN :
978-1-4577-1304-0
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2011.6116660
