Multichannel blind CT image restoration via variable splitting and alternating direction method |
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| Authors: | Yunshan Sun Liyi Zhang Haiyan Zhang Jingyu Zhang |
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| Institution: | 1. School of Electronic Information Engineering, Tianjin University, Tianjin, 300072, China
2. College of Information Engineering, Tianjin University of Commerce, Tianjin, 300134, China
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| Abstract: | 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. |
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