Full Text:   <328>

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CLC number: TP391

On-line Access: 2020-10-14

Received: 2019-12-24

Revision Accepted: 2020-03-14

Crosschecked: 2020-08-28

Cited: 0

Clicked: 549

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Li Xu

https://orcid.org/0000-0002-1376-1779

Guo Huang

https://orcid.org/0000-0001-8109-7833

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Frontiers of Information Technology & Electronic Engineering  2020 Vol.21 No.10 P.1485-1493

http://doi.org/10.1631/FITEE.1900727


An improved method for image denoising based on fractional-order integration


Author(s):  Li Xu, Guo Huang, Qing-li Chen, Hong-yin Qin, Tao Men, Yi-fei Pu

Affiliation(s):  College of Electronics and Materials Engineering, Leshan Normal University, Leshan 614000, China; more

Corresponding email(s):   huangguoxuli@163.com

Key Words:  Fractional-order integral, Cauchy integral, Image denoising, Fractional gradient, Texture protection


Li Xu, Guo Huang, Qing-li Chen, Hong-yin Qin, Tao Men, Yi-fei Pu. An improved method for image denoising based on fractional-order integration[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(10): 1485-1493.

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publisher="Zhejiang University Press & Springer",
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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.

一种基于分数阶积分的图像去噪改进方法

许黎1,2,黄果3,陈庆利3,秦洪英3,门涛3,蒲亦非2
1乐山师范学院电子与材料工程学院,中国乐山市,614000
2四川大学计算机学院,中国成都市,610064
3乐山师范学院,互联网自然语言智能处理四川省高等学校重点实验室,中国乐山市,614000

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。

关键词:分数阶积分;柯西积分;图像去噪;分数梯度;纹理保护

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