Image Denoising Model Based on Four-Direction Total Variation

doi:10.13438/j.cnki.jdzk.2020.03.003

Journal of Jishou University（Natural Sciences Edition)

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Image Denoising Model Based on Four-Direction Total Variation

TENG Xian, PENG Ying, YANG Fenlin

（School of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China）

Online:2020-03-25 Published:2020-12-13

Abstract

Abstract:

A four direction total variation (TV4) model is proposed. An effective fixed point method for solving the model is given. The gradient mode is defined by the forward and backward difference of the gradient of each pixel, which effectively reduces the nonlinear degree of the TV4 model. Experiments show that the model reduces the staircasing effect of TV model to a certain extent, and the convergence speed is faster than that of TV model.

Key words: total variation, four-direction, fixed point method, staircasing effect

TENG Xian, PENG Ying, YANG Fenlin. Image Denoising Model Based on Four-Direction Total Variation[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.13438/j.cnki.jdzk.2020.03.003.

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[2]	ZHANG Qunyi, YANG Fenlin. Image Registration Based on Spatial Adaptive Total Variation [J]. Journal of Jishou University(Natural Sciences Edition), 2020, 41(5): 37-40.
[3]	LI Shu,LI Ran,JIN Pengcheng,CAO Jihua,CHEN Zeping,ZHOU Yuanling,YANG Xi . Impedance Inversion via ATV Regularization and Initial Model Constraint [J]. Journal of Jishou University（Natural Sciences Edition), 2018, 39(5): 33-37.
[4]	YANG Fenlin,GUO Erdong. Image Denoising Problem Based on the TV model and L²-Model [J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(3): 39-41.

Image Denoising Model Based on Four-Direction Total Variation

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