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The anisotropic diffusion model plays an important role on image denoising and some other applications, such as image enhancement, image inpainting. In this paper, drawbacks of the anisotropic diffusion model and the fourth-order PDE model are discussed and examined. In order to compensate these drawbacks, two modified diffusion models are proposed and numerical results show that the modified models produce better results by checking against the PSNR and two other metrics.