A Lattice Boltzmann Method for Image Inpainting Inspired by Fluid Dynamics

Authors

  • Yassine Douich Departement of Computer Science, Laboratory LAROSERI, Faculty of Sciences, Chouaib Doukkali University, EL JADIDA, Morocco
  • Hassan Silkan Departement of Computer Science, Laboratory LAROSERI, Faculty of Sciences, Chouaib Doukkali University, EL JADIDA, Morocco
  • Youssef Hanyf Departement of Computer Science, National School of Commerce and Management, Ibn Zohr University, Dakhla,Morocco

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6192

Keywords:

LBM Inpainting, Vorticity-Stream function

Abstract

This paper presents a novel image inpainting algorithm based on the Lattice Boltzmann Method (LBM), inspired by the vorticity-stream formulation of the Navier-Stokes equations. The proposed method, employing D2Q5 and D2Q9 lattice models, effectively reconstructs missing or damaged image regions by propagating smoothness information along isophote directions. Experimental evaluations demonstrate that LBM achieves superior results in terms of PSNR, SSIM, and reduced CPU time compared to classical inpainting techniques, such as Total Variation (TV) regularisation and the Bertalmio-Sapiro-Caselles-Ballaster (BSCB) algorithm. The method's efficiency in handling complex boundary conditions and preserving image details highlights its robustness for advanced image restoration tasks.                

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Yassine Douich, Hassan Silkan, Youssef Hanyf

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How to Cite

A Lattice Boltzmann Method for Image Inpainting Inspired by Fluid Dynamics. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6192. https://doi.org/10.29020/nybg.ejpam.v18i3.6192