A Nonlinear Anisotropic Diffusion Equation for Image Restoration with Forward-backward Diffusivities

Title:A Nonlinear Anisotropic Diffusion Equation for Image Restoration with Forward-backward Diffusivities

Volume: 14 Issue: 4

Author(s): Santosh Kumar*, Nitendra Kumar and Khursheed Alam

Affiliation:

• Department of Mathematics, School of Basic Sciences and Research, Sharda University, Noida-201310, U.P.,India

Keywords: PDEs, image restoration, nonlinear diffusion, explicit scheme, ISNR value, low pass filter.

Abstract: Background: In the image processing area, deblurring and denoising are the most challenging hurdles. The deblurring image by a spatially invariant kernel is a frequent problem in the field of image processing.

Methods: For deblurring and denoising, the total variation (TV norm) and nonlinear anisotropic diffusion models are powerful tools. In this paper, nonlinear anisotropic diffusion models for image denoising and deblurring are proposed. The models are developed in the following manner: first multiplying the magnitude of the gradient in the anisotropic diffusion model, and then apply priori smoothness on the solution image by Gaussian smoothing kernel.

Results: The finite difference method is used to discretize anisotropic diffusion models with forward- backward diffusivities.

Conclusion: The results of the proposed model are given in terms of the improvement.

Cite this article as:

Kumar Santosh*, Kumar Nitendra and Alam Khursheed, A Nonlinear Anisotropic Diffusion Equation for Image Restoration with Forward-backward Diffusivities, Recent Advances in Electrical & Electronic Engineering 2021; 14 (4) . https://dx.doi.org/10.2174/2352096514666210217113500

DOI https://dx.doi.org/10.2174/2352096514666210217113500	Print ISSN 2352-0965
Publisher Name Bentham Science Publisher	Online ISSN 2352-0973