Image Denoising Based on Adaptive Fractional Order with Improved PM Model
Joint Authors
Zhou, Shangbo
Zhai, Rumeng
Tan, LiJian
Yu, Jimin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In order to improve the image quality, in this paper, we propose an improved PM model.
In the proposed model, we introduce two novel diffusion coefficients and a residual error term and replace the integer differential operator with the fractional differential operator in the PM model.
The diffusion coefficients can be used effectively for edge detection and noise removal.
The residual error term can help to prevent image distortion.
Fractional order differential operator has a good characteristic that it can enhance image texture information while removing image noise.
Additionally, in the two new diffusion coefficients, a novel method is proposed for automatically setting parameter k, and it does not need to do any experiments to get the value of k.
For the computing fractional order diffusion coefficient, we employ the discrete Fourier transform, and an iterative scheme is carried out in the frequency domain.
In the proposed model, not only is the integer differential operator replaced with the fractional differential operator, but also the order of the fractional differentiation is determined adaptively with the local variance.
Comparing with some existing models, the experimental results show that the proposed algorithm can not only better suppress noise, but also better preserve edge and texture information.
Moreover, the running time is greatly reduced.
American Psychological Association (APA)
Yu, Jimin& Zhai, Rumeng& Zhou, Shangbo& Tan, LiJian. 2018. Image Denoising Based on Adaptive Fractional Order with Improved PM Model. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209731
Modern Language Association (MLA)
Yu, Jimin…[et al.]. Image Denoising Based on Adaptive Fractional Order with Improved PM Model. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1209731
American Medical Association (AMA)
Yu, Jimin& Zhai, Rumeng& Zhou, Shangbo& Tan, LiJian. Image Denoising Based on Adaptive Fractional Order with Improved PM Model. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209731