A nonlinear anisotropic diffusion equation for image restoration with forward-backward diffusivities

2021 ◽  
Vol 14 ◽  
Author(s):  
Santosh Kumar ◽  
Nitendra Kumar ◽  
Khursheed Alam
Keyword(s):  
Image Processing ◽  
Anisotropic Diffusion ◽  
Diffusion Models ◽  
Smoothing Kernel ◽  
Proposed Model ◽  
Invariant Kernel ◽  
Nonlinear Anisotropic Diffusion ◽  
Anisotropic Diffusion Equation ◽  
Frequent Problem ◽  
Deblurring And Denoising

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.

scholarly journals An automatic stopping criterion for nonlinear anisotropic diffusion

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
César Bustacara-Medina ◽  
Leonardo Flórez-Valencia
Keyword(s):  
Anisotropic Diffusion ◽  
Stopping Criterion ◽  
Nonlinear Anisotropic Diffusion

Volumetric Nonlinear Anisotropic Diffusion on GPUs

2012 ◽  
pp. 62-73 ◽  
Author(s):  
Andreas Schwarzkopf ◽  
Thomas Kalbe ◽  
Chandrajit Bajaj ◽  
Arjan Kuijper ◽  
Michael Goesele
Keyword(s):  
Anisotropic Diffusion ◽  
Nonlinear Anisotropic Diffusion
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