Quaternion Wavelet Analysis and Application in Image Denoising
Joint Authors
Yin, Ming
Liu, Wei
Shui, Jun
Wu, Jiangmin
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-24
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The quaternion wavelet transform is a new multiscale analysis tool.
Firstly, this paper studies the standard orthogonal basis of scale space and wavelet space of quaternion wavelet transform in spatial L2(R2), proves and presents quaternion wavelet’s scale basis function and wavelet basis function concepts in spatial scale space L2(R2;H), and studies quaternion wavelet transform structure.
Finally, the quaternion wavelet transform is applied to image denoising, and generalized Gauss distribution is used to model QWT coefficients’ magnitude distribution, under the Bayesian theory framework, to recover the original coefficients from the noisy wavelet coefficients, and so as to achieve the aim of denoising.
Experimental results show that our method is not only better than many of the current denoising methods in the peak signal to noise ratio (PSNR), but also obtained better visual effect.
American Psychological Association (APA)
Yin, Ming& Liu, Wei& Shui, Jun& Wu, Jiangmin. 2012. Quaternion Wavelet Analysis and Application in Image Denoising. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001644
Modern Language Association (MLA)
Yin, Ming…[et al.]. Quaternion Wavelet Analysis and Application in Image Denoising. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1001644
American Medical Association (AMA)
Yin, Ming& Liu, Wei& Shui, Jun& Wu, Jiangmin. Quaternion Wavelet Analysis and Application in Image Denoising. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001644