LATTICE BOLTZMANN MODEL FOR NONLINEAR ANISOTROPIC DIFFUSION WITH APPLICATIONS TO IMAGE PROCESSING

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Resumo

It is shown that the multiple non-constant relaxation time lattice Boltzmann equation for five discrete velocities is equivalent to the nonlinear anisotropic diffusion equation. The application of the proposed model to speckle and gaussian noise removal problem is considered.

Sobre autores

O. Ilyin

Federal Research Center ”Computer Science and Control” of the Russian Academy of Sciences

Email: oilyin@gmail.com
Moscow, Russia

Bibliografia

  1. Weickert J. Anisotropic Diffusion in Image Processing. Stuttgart: B.G. Teubner, 1998.
  2. Yoshida H., Nagaoka M. Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation // J. Comput. Phys. 2010. V. 229. 7774–7795.
  3. Kruger T., Kusumaatmaja H., Kuzmin A., Shardt O., Silva G., Viggen E. The Lattice Boltzmann Method. Principles and Practice. Springer. 2017.
  4. Jawerth B., Lin P., Sinzinger E. Lattice Boltzmann Models for Anisotropic Diffusion of Images // J. Math. Imag. Vision. 1999. V. 11. 231–237.
  5. Zhang W., Shi B. Application of Lattice Boltzmann Method to Image Filtering // J. Math. Imag. Vision. 2012. V. 43. 135–142.
  6. Chen J., Chai Z., Shi B., Zhang W. Lattice Boltzmann method for filtering and contour detection of the natural images // Comput. Math.Appl. 2014. V. 68. 257—-268.
  7. Ilyin O. Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising // Mathematics. 2023. V. 11(22). 4601
  8. Nguyen K., Tekitek M., Delachartre P., Berthier M. Multiple Relaxation Time Lattice Boltzmann Models for Multigrid Phase-Field Segmentation of Tumors in 3D Ultrasound Images // SIAM J. Imag. Sci. 2019. V. 12. 1324–1346.
  9. Michelet J., Tekitek M., Berthier M. Multiple relaxation time lattice Boltzmann schemes for advection-diffusion equations with application to radar image processing. J. Comput. Phys. 2022. V. 471. 111612.
  10. Ilyin O. Lattice Boltzmann model for diffusion equation with reduced truncation errors: Applications to Gaussian filtering and image processing // Appl. Math. Comput. 2023. V. 456. 128123.
  11. Weickert J. Coherence-Enhancing Diffusion Filtering // Intern. J. Comput. Vis. 1999. V. 31. 111–127.

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