D2Q9 scheme

A new Lattice Boltzmann method for a Gray–Scott based model applied to image restoration and contrast enhancement

The aim of this work is to propose a new numerical approach to image restoration and contrast enhancement based on a reaction-diffusion model (Gray–Scott model).  For noise removal, a Lattice Boltzmann technique is used.  This method is usually used in fluid dynamics experiments.  Since pixels motion can be compared to fluids motion, the presented technique also indicates a good performance in processing noisy images.  The efficiency and performance of the proposed algorithm are verified by several numerical experiments.