A new multiplicative noise removal model combining cartoon-texture decomposition method
This paper proposes a new model to remove the multiplicative noise. We incorporate the cartoon-texture decomposition into a multiplicative denoising model, and design a new convex optimization model. The superiority of the proposed model lies in adding the H-1 norm of texture component, which can help to recover more image information. We solve the model numerically by Douglas-Rachford splitting algorithm and the Fourier domain filtering. Experimental results show that the designed algorithms can solve the model effectively, the recovery images of the new model have better visual quality, and also have higher signal to noise ratios and peak signal to noise ratios.