caa a22 4500 606199160 CHVBK 20210128100937.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s11045-013-0268-x doi (NATIONALLICENCE)springer-10.1007/s11045-013-0268-x Denoising color images by reduced quaternion matrix singular value decomposition [Elektronische Daten] [Shan Gai, Guowei Yang, Minghua Wan, Lei Wang] We propose a color-image-denoising algorithm that is based on the reduced quaternion matrix (RQM) of singular value decomposition (SVD). The new algorithm represents a color image as an RQM and handles such an image in a holistic manner. This algorithm can combine similar blocks from a noisy image by using a similar criterion. The proposed framework computes the optimal unitary matrix pair by using RQMSVD, and the coefficients of RQMSVD are obtained by projecting each block onto unitary matrices. The final filtered image is then obtained by manipulating the coefficients with hard threshold. The performance of the proposed algorithm is experimentally verified by using a variety of images and noise levels. Results demonstrate that the proposed algorithm is at par with or exceeds current state-of-the-art algorithms in both visual and quantitative performance. Springer Science+Business Media New York, 2013 Image denoising nationallicence Reduced quaternion matrix nationallicence Singular value decomposition nationallicence Coefficient thresholding nationallicence Gai Shan Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut Yang Guowei Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut Wan Minghua Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut Wang Lei Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 307-320 0923-6082 26:1<307 2015 26 11045 https://doi.org/10.1007/s11045-013-0268-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 brief-communication jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0268-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gai Shan Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut NATIONALLICENCE 700 1- Yang Guowei Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut NATIONALLICENCE 700 1- Wan Minghua Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut NATIONALLICENCE 700 1- Wang Lei Department of Information Engineering, University of Nanchang Hangkong, 330063, Nanchang, Jiangxi, People's Republic of China aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/1(2015-01-01), 307-320 0923-6082 26:1<307 2015 26 11045