NDLI: Sparse representation based on vector extension of reduced quaternion matrix for multiscale image denoising

Content Provider	IET Digital Library
Author	Gai, Shan Wang, Long Yang, Guowei Yang, Peng
Abstract	Sparse representations of multi-channel signals have drawn considerable interest in recent years. In this study, a new vector-valued sparse representation model is proposed for colour images using reduced quaternion matrix (RQM). The colour image is described as a RQM by the proposed model. In the dictionary training state, k-means clustering RQM value decomposition is proposed which makes sparse basis selection in quaternion space. Then, a reduced quaternion-based orthogonal matching pursuit algorithm is presented in the sparse coding stage. To demonstrate the effectiveness of the proposed sparse representation model, the authors apply the model to common colour image processing problem-colour image denoising. The proposed model is compared with other sparse models for colour image denoising in terms of visual quality and peak signal-to-noise ratio. The experimental results indicate that the proposed image sparse model is competitive with other sparse models.
Starting Page	598
Ending Page	607
Page Count	10
ISSN	17519659
Volume Number	10
e-ISSN	17519667
Issue Number	Issue 8, Aug (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/10/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2015.0611
Journal	IET Image Processing
Publisher Date	2016-08-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Common Colour Image Processing Computer Vision And Image Processing Technique Dictionary Training State Image Colour Analysis Image Denoising K-means Clustering RQM Value Decomposition Matrix Algebra Multichannel Signal Multiscale Image Denoising Optical, Image And Video Signal Processing Orthogonal Matching Pursuit Algorithm Pattern Clustering Peak Signal-to-noise Ratio Quaternion Space Reduced Quaternion Matrix Sparse Basis Selection Sparse Coding Stage Vector Vector Extension Vector-valued Sparse Representation Model Visual Quality
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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