Multichannel Blind CT Image Restoration via Variable Splitting and Alternating Direction Method

Computed tomography(CT) blurring caused by point spread function leads to errors in quantification and visualization. In this paper, multichannel blind CT image restoration is proposed to overcome the effect of point spread function. The main advantage from multichannel blind CT image restoration is...

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Published inTransactions of Tianjin University Vol. 21; no. 6; pp. 524 - 532
Main Author 孙云山 张立毅 张海燕 张经宇
Format Journal Article
LanguageEnglish
Published Tianjin Tianjin University 01.12.2015
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ISSN1006-4982
1995-8196
DOI10.1007/s12209-015-2667-6

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Summary:Computed tomography(CT) blurring caused by point spread function leads to errors in quantification and visualization. In this paper, multichannel blind CT image restoration is proposed to overcome the effect of point spread function. The main advantage from multichannel blind CT image restoration is to exploit the diversity and redundancy of information in different acquisitions. The proposed approach is based on a variable splitting to obtain an equivalent constrained optimization formulation, which is addressed with the alternating direction method of multipliers and simply implemented in the Fourier domain. Numerical experiments illustrate that our method obtains a higher average gain value of at least 1.21 d B in terms of Q metric than the other methods, and it requires only 7 iterations of alternating minimization to obtain a fast convergence.
Bibliography:Computed tomography(CT) blurring caused by point spread function leads to errors in quantification and visualization. In this paper, multichannel blind CT image restoration is proposed to overcome the effect of point spread function. The main advantage from multichannel blind CT image restoration is to exploit the diversity and redundancy of information in different acquisitions. The proposed approach is based on a variable splitting to obtain an equivalent constrained optimization formulation, which is addressed with the alternating direction method of multipliers and simply implemented in the Fourier domain. Numerical experiments illustrate that our method obtains a higher average gain value of at least 1.21 d B in terms of Q metric than the other methods, and it requires only 7 iterations of alternating minimization to obtain a fast convergence.
12-1248/T
blind image restoration variable splitting alternating direction method medical CT image
Sun Yunshan, Zhang Liyi , Zhang Haiyan , Zhang Jingyu (1. School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China; 2. College of Information Engineering, Tianjin University of Commerce, Tianjin 300134, China)
ISSN:1006-4982
1995-8196
DOI:10.1007/s12209-015-2667-6