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Multichannel blind CT image restoration via variable splitting and alternating direction method

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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 dB 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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Authors and Affiliations

  1. School of Electronic Information Engineering, Tianjin University, Tianjin, 300072, China

    Yunshan Sun  (孙云山), Haiyan Zhang  (张海燕) & Jingyu Zhang  (张经宇)

  2. College of Information Engineering, Tianjin University of Commerce, Tianjin, 300134, China

    Yunshan Sun  (孙云山) & Liyi Zhang  (张立毅)

Authors
  1. Yunshan Sun  (孙云山)
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  2. Liyi Zhang  (张立毅)
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  3. Haiyan Zhang  (张海燕)
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  4. Jingyu Zhang  (张经宇)
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Corresponding author

Correspondence to Liyi Zhang  (张立毅).

Additional information

Supported by the National Natural Science Foundaton of China(No. 61340034), China Postdoctoral Science Foundation(No.2013M530873), the Research Program of Application Foundation and Advanced Technology of Tianjin (No. 13JCYBJC15600).

Sun Yunshan, born in 1980, male, Dr, Associate Prof.

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Sun, Y., Zhang, L., Zhang, H. et al. Multichannel blind CT image restoration via variable splitting and alternating direction method. Trans. Tianjin Univ. 21, 524–532 (2015). https://doi.org/10.1007/s12209-015-2667-6

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  • DOI: https://doi.org/10.1007/s12209-015-2667-6

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