一种基于分数阶积分的图像去噪改进方法

许黎; 黄果; 陈庆利; 秦洪英; 门涛; 蒲亦非

doi:10.1631/FITEE.1900727

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一种基于分数阶积分的图像去噪改进方法

常规文章 | Updated：2022-05-19

- 一种基于分数阶积分的图像去噪改进方法
- An improved method for image denoising based on fractional-order integration
- 信息与电子工程前沿（英文） 2020年21卷第10期页码：1485-1493
- Affiliations：
  
  College of Electronics and Materials Engineering, Leshan Normal University, Leshan 614000, China
  College of Computer Science, Sichuan University, Chengdu 610064, China
  Key Lab of Internet Natural Language Processing of Sichuan Provincial Education Department, Leshan Normal University, Leshan 614000, China
- Author bio：
  
  Guo HUANG, E-mail: huangguoxuli@163.com
- Funds：
  
  Project supported by the National Natural Science Foundation of China (No. 61201438), the Key Project of Education Department of Sichuan Province, China (No. 18ZA0235), the Research Fund of Key Laboratory of Internet Natural Language Processing of Sichuan Education Department, China (No. INLP201904), and the Research Fund of Leshan Normal University, China (No. LZD003)
- DOI：10.1631/FITEE.1900727
  中图分类号： TP391
- 收稿：2019-12-24，
  
  修回：2020-;8-28，
  
  纸质出版：2020-10
- Accepted：
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许黎, 黄果, 陈庆利, 等. 一种基于分数阶积分的图像去噪改进方法[J]. 信息与电子工程前沿（英文）, 2020,21(10):1485-1493.

Li XU, Guo HUANG, Qing-li CHEN, et al. An improved method for image denoising based on fractional-order integration[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(10): 1485-1493.
许黎, 黄果, 陈庆利, 等. 一种基于分数阶积分的图像去噪改进方法[J]. 信息与电子工程前沿（英文）, 2020,21(10):1485-1493. DOI： 10.1631/FITEE.1900727.

Li XU, Guo HUANG, Qing-li CHEN, et al. An improved method for image denoising based on fractional-order integration[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(10): 1485-1493. DOI： 10.1631/FITEE.1900727.

摘要

针对现有图像去噪方法容易造成图像纹理细节丢失的现象，提出一种基于分数积分的去噪新方法。首先，通过拓展柯西积分推导分数阶积分公式，然后利用数值方法估计分数阶积分算子的近似值。最后，在图像8个像素方向构造一个任意阶次的分数阶积分掩模算子。仿真结果表明，本文提出的图像去噪方法在去除噪声的同时，能够保护图像的边缘和纹理信息。并且，由于在迭代过程中采用了纹理保护机制，该方法在去噪后可获得更高的图像特征值和更好的视觉效果。

Abstract

Given that the existing image denoising methods damage the texture details of an image

a new method based on fractional integration is proposed. First

the fractional-order integral formula is deduced by generalizing the Cauchy integral

and then the approximate value of the fractional-order integral operator is estimated by a numerical method. Finally

a fractional-order integral mask operator of any order is constructed in eight pixel directions of the image. Simulation results show that the proposed image denoising method can protect the edge texture information of the image while removing the noise. Moreover

this method can obtain higher image feature values and better image vision after denoising than the existing denoising methods

because a texture protection mechanism is adopted during the iterative processing.

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Keywords

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