A non local total variation based on <italic style="font-style: italic">L</italic><sub>1</sub> norm for image recovery

Ping-xian YANG; Ming-ju CHEN

doi:10.3788/YJYXS20173208.0635

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A non local total variation based on L₁ norm for image recovery

Image Processing | 更新时间：2020-08-12

- A non local total variation based on L₁ norm for image recovery
- Chinese Journal of Liquid Crystals and Displays Vol. 32, Issue 8, Pages: 635-641(2017)
- 作者机构：
  
  四川理工学院自动化与电子信息学院, 四川自贡 643000
- 作者简介：
- 基金信息：
- DOI：10.3788/YJYXS20173208.0635
  CLC： TN911.73
- Received：23 February 2017，
  
  Accepted：15 May 2017，
  
  Published：05 August 2017
- 稿件说明：
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Ping-xian YANG, Ming-ju CHEN. A non local total variation based on L₁ norm for image recovery[J]. Chinese journal of liquid crystals and displays, 2017, 32(8): 635-641.
DOI：

Ping-xian YANG, Ming-ju CHEN. A non local total variation based on L₁ norm for image recovery[J]. Chinese journal of liquid crystals and displays, 2017, 32(8): 635-641. DOI： 10.3788/YJYXS20173208.0635.

摘要

针对

范数的非局部变分模型在迭代过程中未考虑图像局部梯度信息，模糊图像细节信息的缺点，提出了一种基于

范数的非局部变分模型。首先，对基于

范数的非局部变分模型的扩散性能进行了详细的分析。接着，将该模型应用于退化图像的复原中，并推导出该模型的Bregman交替迭代求解过程。最后，通过对比实验，证明本文提出的

范数的非局部变分复原模型能更好地重构图像的细节信息，相对于

范数的非局部变分模型峰值信噪比提高大于1 dB，图像复原性能更优。

Abstract

To overcome the disadvantages that non local total variation based on

norm doesn't consider the nonlocal gradient and can't effectively recovery image's texture

a new non local total variation based on

norm is proposed. The paper first analyzes the characteristics of the new algorithm

and then employs the new algorithm for image recovery. Bregman iteration scheme is used to optimize the image recovery problems. Finally

the comparing experimental results show that the proposed non local total variation model based on

norm reconstructs more image details and gains more 1 dB higher peak signal to noise ratio than non local total variation model based on

norm.

关键词

Keywords

references

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A non local total variation based on L₁ norm for image recovery

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YANG Ping-xian

CHEN Ming-ju

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四川理工学院自动化与电子信息学院

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A non local total variation based on L1 norm for image recovery

DOI：10.3788/YJYXS20173208.0635

摘要

Abstract

关键词

Keywords

references

A non local total variation based on L₁ norm for image recovery