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

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

Journal Name: Recent Advances in Electrical & Electronic Engineering
Formerly Recent Patents on Electrical & Electronic Engineering

Volume 14 , Issue 4 , 2021


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Graphical Abstract:


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.

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

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Article Details

VOLUME: 14
ISSUE: 4
Year: 2021
Published on: 16 February, 2021
Page: [428 - 434]
Pages: 7
DOI: 10.2174/2352096514666210217113500
Price: $25

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