New discretization of total variation functional for image processing tasks

作者：

Highlights：

• A new variational method is proposed to solve image processing problems.

• New gradient fields are defined in the new proposed model.

• The proposed model has better performance in sense of accuracy for denoising and upscaling problems.

摘要

•A new variational method is proposed to solve image processing problems.•New gradient fields are defined in the new proposed model.•The proposed model has better performance in sense of accuracy for denoising and upscaling problems.

论文关键词：Mathematical image processing,Total variation,Vector field,Denoising,Resolution enhancement,Fenchel-dual theorem

论文评审过程：Received 4 December 2018, Revised 2 June 2019, Accepted 12 June 2019, Available online 18 June 2019, Version of Record 20 June 2019.

论文官网地址：https://doi.org/10.1016/j.image.2019.06.005