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

Author

Angulo, Jesús

Author_Institution

CMM (Centre de Morphologie Math., Math. et Syst.), Mines ParisTech, Paris, France

fYear

2011

fDate

11-14 Sept. 2011

Firstpage

73

Lastpage

76

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2011 18th IEEE International Conference on

Conference_Location

Brussels

ISSN

1522-4880

Print_ISBN

978-1-4577-1304-0

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2011.6116660

Filename

6116660