Composite analysis-based model for image restoration solved by alternating direction method of multipliers fast iterative shrinkage-thresholding algorithm

摘要

A composite analysis-based model for image restoration by utilising the image edge's well preserving property of the total variation (TV) and the sparsely representation capability of the wavelet frame-based image restoration model is proposed. This model is an analysis-based approach that the wavelet frame coefficient is quite often able to be linked with the smoothness of the image and is more in accord with the model's essence of TV model. This model is solved using the alternating direction method of multipliers fast iterative shrinkage-thresholding algorithm and a faster alternating minimisation algorithm, and numerical experiments show that the proposed method is more suitable for image restoration.