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- Title
HYBRID EQUATION RESULTING FROM THE COMBINATION OF A SECOND-ORDER EQUATION WITH A FOURTH-ORDER EQUATION FOR THE RESTORATION NOISY IMAGES.
- Authors
THIERRY, SIMO; PASCAL, NTSAMA ELOUNDOU; ALEXENDRE, NOURA
- Abstract
The filtering of images is an important task in the research area of image processing. The diffusion equations are frequently used in image processing to solve the problem of staircase effect introduced by the second order diffusion equations. Different equations dissemination of fourth order is proposed to improve the filtering performance. However, the diffusion equations of order four suffer from the problems of on-smoothing of the staircase effect and a very slow convergence towards the solution. In this paper, a hybrid equation that uses a convex combination to associate the second-order equation of Wang in the equation of the fourth-order Lysaker is proposed to reap the benefits of two equations combined for restoring noisy images. In this hybrid equation, a diffusion coefficient which uses the Z-shaped fuzzy logic membership function is proposed to limit the diffusion of strong gradients produced by the equation of the second order Wang et al for better preserve the contours of the image. The experimental results illustrate the effectiveness of the proposed model in image restoration.
- Subjects
METALANGUAGE; IMAGE processing; PARTIAL differential equations; DIFFUSION coefficients; IMAGE reconstruction
- Publication
i-Manager's Journal on Image Processing, 2020, Vol 7, Issue 1, p24
- ISSN
2349-4530
- Publication type
Article
- DOI
10.26634/jip.7.1.17038