Abstract
In this study, a novel normal curvature-induced variational model which involves a higher-order regulariser based on the normal curvature prior information of image surface is proposed for image restoration. Furthermore, the authors derive a preferably equivalent formulation for the proposed normal curvature-induced higher-order regulariser. Then, they design an efficient algorithm to solve the proposed model by using the famous alternating direction method of multipliers technique. Finally, they assess the performance of the proposed method on both natural images and biomedical cell images by comparing it with the famous fast total variation (TV) method, fractional-order TV method and Hessian-nuclear-norm regularisation method. Specifically, the proposed method can achieve better and more balanced results in terms of peak-signal-to-noise ratio, convergence rate and restoration quality.
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