Remove the salt and pepper noise based on the high order total variation and the nuclear norm regularization

作者：

Highlights：

• This paper proposed a new model through combining the HOTV and the nuclear norm with the ℓ1-norm fitting term to remove the SAP noise.

• Since the proposed model is nonsmooth, convex and separable, the classical alternating direction method of multipliers (ADMM) can be employed to efficiently solve the proposed model.

• We gave the convergence of the proposed algorithm.

• Some numerical implementations showed the effectiveness of our proposed model compared with several state-of-the-art models.

摘要

•This paper proposed a new model through combining the HOTV and the nuclear norm with the ℓ1-norm fitting term to remove the SAP noise.•Since the proposed model is nonsmooth, convex and separable, the classical alternating direction method of multipliers (ADMM) can be employed to efficiently solve the proposed model.•We gave the convergence of the proposed algorithm.•Some numerical implementations showed the effectiveness of our proposed model compared with several state-of-the-art models.

论文关键词：Image denoising,Salt and pepper (SAP) noise,High order total variation (HOTV) regularization,Nuclear norm regularization,Alternating direction method of multipliers (ADMM)

论文评审过程：Received 23 August 2019, Revised 24 December 2021, Accepted 3 January 2022, Available online 10 January 2022, Version of Record 10 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126925