Étude d’EDPs liées à l’amélioration de contour d’image par auto similarité intermediaire.
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Date
2025-05-08
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Publisher
University of M'Sila
Abstract
The nonlinear diffusion equation is used to analyze the process of edge enhancement in
image processing, based on a new evolution model considered 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 the image. An asymptotic self-similar solutions to this
nonlinear diffusion equation is obtained in explicit forms. The solutions demonstrated that the
edge enhancement and its rates depends on the parameters of equation. The experimental results
demonstrate the effectiveness of themodel in edge preservation.
Description
Keywords
Nonlinear diffusion equations - Mean curvature motion - Image processing- contour enhancement - Free boundaries - Self-similar solutions.