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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