Adaptive Fractional Order Total Variation Image Denoising via the Alternating Direction Method of Multipliers

Dazi Li, Tonggang Jiang, Qibing Jin, Beike Zhang · 2020

Due to the importance and priority, image denoising has various applications in image processing. How to mitigate the effect of staircase artifacts on denoised results and adjusts regularization parameters based on surrounding features are two main issues in the image denoising regularization process,. In this paper, an adaptive fractional order total variation l1regularization (AFOTV-l1) model is proposed. Regularization parameters are adaptively adjusted by fractional order α . Alternating direction method of multipliers (ADMM) algorithm is introduced for solving AFOTV-l1model, which provides a feasible method to solve the optimization problems of image denoising by introducing auxiliary variables. Two experiments have been conducted with standard images "Lena" and "Man" to verify the effectiveness of the proposed method. Experimental results demonstrate that the proposed method has good denoising effect and fast convergence rate for image denoising.

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