Image smoothing and super-resolution are realized by using a reaction diffusion model which is a typical partial differential equation. The new method is based on the theory of self-organization. In the Turing instability at the bistable region diffusion process in space leads to the availability of image smoothing and decides the smoothing effects. After comparing with average filter and median filter it is found that the effects of image smoothing by the reaction diffusion model are better than that by other filters. Super-resolution can also be achieved by the reaction diffusion model in a suitable region of control parameters.
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