In: Tatra Mountains Mathematical Publications, vol. 83, no. 1
Abderrazzak Boufala - El Mostafa Kalmoun
Details:
Year, pages: 2023, 11 - 24
Language: eng
Keywords:
image denoising, finite element method, partial differential equations, FEniCs; diffusivity function; total variation, Perona-Malik method
Article type: Mathematics
Document type: scientific paper pdf
About article:
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.
How to cite:
ISO 690:
Boufala, A., Kalmoun, E. 2023. Automated finite element solution of diffusion models for image denoising. In Tatra Mountains Mathematical Publications, vol. 83, no.1, pp. 11-24. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0002
APA:
Boufala, A., Kalmoun, E. (2023). Automated finite element solution of diffusion models for image denoising. Tatra Mountains Mathematical Publications, 83(1), 11-24. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0002
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 2. 2023
Rights:
The Creative Commons Attribution-NC-ND 4.0 International Public License