Image Restoration Based on L1 + L1 Model
Ruihua Liu · International Journal of Signal Processing Image Processing and Pattern Recognition · 2014
In this paper, we firstly propose a new image restoration model including non-smooth -norm regularization term based on the bilateral total variation regularization. Secondly, we prove the existence of minimal solutions of our proposed energy functional model. Thirdly, we consider the convergence of the discrete numerical algorithm, and obtain that the limit point of the solution sequence is the minimal point of our proposed energy functional. Finally, we give some experimental simulation results in the case of the single noisy image without blurring, multiple different noisy images without blurring, single noisy image with blurring, and multiple different noisy images with different blurring, respectively. The restoration results show our model works effectively.