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sciencesconf.org:icma21:373798

Self-similar solutions for free-boundary problem from contour enhancement in image processing

Hossemddine Achour 1, *, @ , Benhamidouche Noureddine 1, @ , Chouder Rafaa 1, @

1 : Laboratory of Pure and Applied Mathematics - Website

M'sila UniversityP.O. Box 166 Ichbilia, M'sila 28105 - Algeria

* : Corresponding author

Many models which use non-linear PDEs have been extensively used for different tasks of edge enhancement in image processing, based on a new evolution model consider as a generalization of mean curvature motion. A free boundary problem is formulated describing the image intensity evolution in the boundary layers around the edges of image. An asymptotic self-similar solutions to this nonlinear diffusion equation are obtained in explicit forms.

Subject :	:	Oral
Topics	:	Applied mathematics and modeling
Keywords	:	Nonlinear diffusion equations ; Mean curvature motion ; Total variation flow ; Image enhancement ; Free boundaries ; Self similar solutions.

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