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