Auto-Similarité et Contour d Image "Self-Similarity and Image Contour"
Loading...
Date
2018-02-11
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Université de M'sila
Abstract
The theory of nonlinear diffusion equations is used to analyze the process of contour
enhancement in image processing. The aim of this research is to seek new exact solutions to
nonlinear diffusion equation that occurs in image processing called degenerate parabolic
equation. For that, we have used the general self-similar solutions and the `travelling profiles
method' in order to find, explicitly, new exact solutions to this equation under some
conditions. Some these explicit solutions are related with the phenomenon of contour
enhancement. An interesting particular case has been discussed; this case coincides with
particular solutions called `intermediate asymptotic solutions' used to study the contour
enhancement.
Description
Keywords
nonlinear diffusion equations; self similar solution; travelling profiles method; fractional derivatives; image processing; contour enhancement.