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Image reconstruction method for limited-angle CT based on total variation minimization using guided image filtering

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Abstract

Radiation is harmful to the human body, which is coupled with the fact that scanning conditions pose a number of restrictions. As a result, the projection data of a scanned object are generally acquired within a limited-angle range in practical computed tomography (CT) applications. Under this circumstance, classical image reconstruction methods cannot obtain high-quality images, and limited-angle artifacts appear in the reconstructed image. In recent years, the l1 norm of a gradient image–based total variation minimization (TVL1) image reconstruction method has often been used to deal with the image reconstruction problem from undersampling projection data, but limited-angle artifacts have been encountered near the edges for limited-angle CT. The l0 norm of a gradient image–based total variation minimization (TVL0) image reconstruction method can better preserve the edges, but it cannot obtain acceptable results when the scanning angle range is further reduced. Inspired by the advantages of guided image filtering (GIF), which can better smooth an image and preserve its structure, we used it to improve the reconstructed image quality for limited-angle CT by transferring reconstructed results of the TVL1 method to those of the TVL0 method. Simulation experiments show that the proposed method can better preserve structures and suppress limited-angle artifacts and noise than several related reconstruction methods.

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Acknowledgements

We thank LetPub (www.letpub.com) for its linguistic assistance during the preparation of this manuscript.

Funding

This work was funded by the National Natural Science Foundation of China (NSFC) (No. 61801086 and No. 61701174); Natural Science Foundation of Chongqing (No. cstc2019jcyj-msxmX0345); Scientific Research Funds of Chongqing Normal University (19XLB005); Science and Technology Research Program of Chongqing Municipal Education Commission (No. KJQN202000534); and Open Project of Key Laboratory No. CSSXKFKTQ202003, Mathematical College, Chongqing Normal University.

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Authors and Affiliations

  1. College of Computer, Chengdu University, Chengdu, 610100, China

    Jiaxi Wang

  2. Department of Ultrasound, Chengdu First People’s Hospital, Chengdu, 610041, China

    Yuanyuan Yue

  3. College of Mathematical Sciences, Chongqing Normal University, Chongqing, 401131, China

    Chengxiang Wang

  4. School of Biomedical Engineering and Imaging, Xianning Medical College, Hubei University of Science and Technology, Xianning, 437100, China

    Wei Yu

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  1. Jiaxi Wang
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  2. Yuanyuan Yue
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  3. Chengxiang Wang
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  4. Wei Yu
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Correspondence to Chengxiang Wang or Wei Yu.

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Wang, J., Yue, Y., Wang, C. et al. Image reconstruction method for limited-angle CT based on total variation minimization using guided image filtering. Med Biol Eng Comput 60, 2109–2118 (2022). https://doi.org/10.1007/s11517-022-02579-z

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  • DOI: https://doi.org/10.1007/s11517-022-02579-z

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