Image Restoration Method Based on the Combination of Heat Conduction Equation and Anisotropic Coupled Diffusion Equations

An important advantage of the partial differential equation image processing method is that it can perform two or more tasks simultaneously. The combination of heat conduction equation and anisotropic coupled diffusion equations is used for image restoration. In the damaged domain, isotropic diffusion is adopted for image inpainting. While in the other region, anisotropic coupled diffusion equations are performed for image denoising, which can control the diffusion direction and diffusion speed to avoid edge blurring. The results show that the proposed combination model of diffusion equations has good capabilities of inpainting, noise reduction and details protection.