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A lattice Boltzmann method applied to the fluid image registration

Author

Listed:
  • Alahyane, M.
  • Hakim, A.
  • Laghrib, A.
  • Raghay, S.

Abstract

The aim of this work is to give a new approach to the fluid image registration problem, based on the lattice Boltzmann method (LBM). The lattice Boltzmann method has attracted much attention as a fast alternative approach for solving partial differential equations, especially for fluid flow simulation. In this paper, we propose a stable numerical implementation for the Navier–Stokes equations, such as the fluid image registration problem amounts to solve the Navier–Stokes equation, and to compute the displacement from the velocity using an Euler scheme. The efficiency of the proposed method is approved by different simulated tests.

Suggested Citation

  • Alahyane, M. & Hakim, A. & Laghrib, A. & Raghay, S., 2019. "A lattice Boltzmann method applied to the fluid image registration," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 421-438.
  • Handle: RePEc:eee:apmaco:v:349:y:2019:i:c:p:421-438
    DOI: 10.1016/j.amc.2018.12.051
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    References listed on IDEAS

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    1. Cao, Chuansheng & Chen, Sheng & Li, Jing & Liu, Zhaohui & Zha, Lu & Bao, Sheng & Zheng, Chuguang, 2015. "Simulating the interactions of two freely settling spherical particles in Newtonian fluid using lattice-Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 533-551.
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    Cited by:

    1. Boutaayamou, Idriss & Hadri, Aissam & Laghrib, Amine, 2023. "An optimal bilevel optimization model for the generalized total variation and anisotropic tensor parameters selection," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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