Determining Neighborhoods of Image Pixels Automatically for Adaptive Image Denoising Using Nonlinear Time Series Analysis
Joint Authors
Liao, Zhiwu
Hu, Shaoxiang
Chen, Wufan
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper presents a method determining neighborhoods of the image pixels automatically in adaptive denoising.
The neighborhood is named stationary neighborhood (SN).
In this method, the noisy image is considered as an observation of a nonlinear time series (NTS).
Image denoising must recover the true state of the NTS from the observation.
At first, the false neighbors (FNs) in a neighborhood for each pixel are removed according to the context.
After moving the FNs, we obtain an SN, where the NTS is stationary and the real state can be estimated using the theory of stationary time series (STS).
Since each SN of an image pixel consists of elements with similar context and nearby locations, the method proposed in this paper can not only adaptively find neighbors and determine size of the SN according to the characteristics of a pixel, but also be able to denoise while effectively preserving edges.
Finally, in order to show the superiority of this algorithm, we compare this method with the existing universal denoising algorithms.
American Psychological Association (APA)
Liao, Zhiwu& Hu, Shaoxiang& Chen, Wufan. 2010. Determining Neighborhoods of Image Pixels Automatically for Adaptive Image Denoising Using Nonlinear Time Series Analysis. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-507683
Modern Language Association (MLA)
Liao, Zhiwu…[et al.]. Determining Neighborhoods of Image Pixels Automatically for Adaptive Image Denoising Using Nonlinear Time Series Analysis. Mathematical Problems in Engineering No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-507683
American Medical Association (AMA)
Liao, Zhiwu& Hu, Shaoxiang& Chen, Wufan. Determining Neighborhoods of Image Pixels Automatically for Adaptive Image Denoising Using Nonlinear Time Series Analysis. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-507683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507683