Improved Perona-Malik Model with a Leray-Lions Operator for Image Denoising

Autores

  • Hind Farjil IMIA Laboratory, A2MSDS Group, Department of Mathematics, Faculty of Sciences and Technics, Moulay Ismail University of Meknes, P.O. Box 509 Boutalamine, Errachidia.
  • S.M. Douiri
  • M. Moumni

DOI:

https://doi.org/10.5269/bspm.76511

Resumo

In the current paper, we introduce an extended framework for image denoising.
The formulated diffusion model integrates both the Perona-Malik and a Leray-Lions’s
type operator, aiming to achieve both effective noise suppression and preservation
of important image features. We first explore the proposed model mathematically,
determining whether solutions exist and are unique. Then, we demonstrate the model’s
applicability for image noise reduction, by providing various numerical simulations.

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Publicado

2025-09-23

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Como Citar

Farjil, H., Douiri, S. ., & Moumni, M. . (2025). Improved Perona-Malik Model with a Leray-Lions Operator for Image Denoising. Boletim Da Sociedade Paranaense De Matemática, 43, 1-14. https://doi.org/10.5269/bspm.76511
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