The diffusion model proposed by Perona and Malik is unstable.This will lead to the "staircasing effect" in image denoising.The lattice Boltzmann anisotropic diffusion model (LBADM) is proposed by introducing a medium between the nodes of the lattice based on the lattice Boltzmann isotropic diffusion model (LBIDM).The force represented by the forward diffusion process dominates in the LBADM.This means the Lattice Boltzmann model LBADM is stable.The experiment and discussion showed that our algorithm can overcome the staircasing effect of the P-M model well.Compared to the Perona and Malik’s isotropic diffusion model

the lattice Boltzmann anisotropic diffusion model had higher peak signal-to-noise ratio.