<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We present in this paper a numerical solution of a generalized diffusion-based image denoising model, using the finite element computing platform FEniCS. The generalized model contains as special cases three classical denoising techniques: linear isotropic diffusion, total variation, and Perona-Malik method. The numerical simulation using four classical grayscale images demonstrates the superior performance of the finite element method over the finite difference method in terms of both the denoising quality and the computational work.</p>
</abstract>

We present in this paper a numerical solution of a generalized diffusion-based image denoising model, using the finite element computing platform FEniCS. The generalized model contains as special cases three classical denoising techniques: linear isotropic diffusion, total variation, and Perona-Malik method. The numerical simulation using four classical grayscale images demonstrates the superior performance of the finite element method over the finite difference method in terms of both the denoising quality and the computational work.

Automated Finite Element Solution of Diffusion Models for Image Denoising

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Automated Finite Element Solution of Diffusion Models for Image Denoising"}

We present in this paper a numerical solution of a generalized diffusion-based image denoising model, using the finite element computing platform FEniCS. The...

Automated Finite Element Solution of Diffusion Models for Image Denoising

Published Online: Mar 07, 2023

Page range: 11 - 24

Received: Nov 01, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0002

Keywords
image denoising, finite element method, partial differential equations, FEniCs, diffusivity function, total variation, Perona-Malik method

© 2023 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Automated Finite Element Solution of Diffusion Models for Image Denoising

Published Online: Mar 07, 2023

Page range: 11 - 24

Received: Nov 01, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0002

Keywordsimage denoising, finite element method, partial differential equations, FEniCs, diffusivity function, total variation, Perona-Malik method

© 2023 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
image denoising, finite element method, partial differential equations, FEniCs, diffusivity function, total variation, Perona-Malik method