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A Medical Image Reconstruction Algorithm Based on Composite Cosine Function Family

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Abstract

At present, the spectrum correction method based on medical image restoration has the problems of low reconstruction accuracy and long calculation time. However, the method based on compressed sensing can use the sparse characteristics of medical images to improve the reconstruction performance of images. In this paper, a signal reconstruction algorithm based on composite cosine conjugate gradient smoothing L0 (CCGSL0) is proposed. Firstly, we construct a new smooth function family called composite cosine function family (FCCF), which can approximate the mathematical representation of L0 norm. Secondly, the conjugate gradient method (CGM) is used to form the FCCF-CGM optimization strategy to improve the signal reconstruction rate and image restoration accuracy. Finally, the block mechanism is used for parallel processing of the original signal to reduce the processing time of the signal, thereby greatly improving the speed of image restoration. In addition, the computed tomography images and magnetic resonance imaging images in Gaussian and Poisson noise environment were simulated. Experimental results show that CCGSL0 can improve image reconstruction accuracy by 0.4–1.6 dB and reduce reconstruction time by 30–70%. CCGSL0 has better robustness and can save more image signal details.

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Acknowledgements

This paper is supported by National Key Laboratory of Communication Anti Jamming Technology.

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Authors and Affiliations

  1. College of Information and Communication Engineering, Key Laboratory of Advanced Ship Communication and Information Technology, Harbin Engineering University, Heilongjiang, People’s Republic of China

    Linyu Wang, Xiao Zang & Jianhong Xiang

  2. China Electronic Technology Group (cetc-10), Sichuan, People’s Republic of China

    Yu Zhong

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  1. Linyu Wang
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  2. Xiao Zang
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  3. Jianhong Xiang
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  4. Yu Zhong
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Correspondence to Jianhong Xiang.

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Wang, L., Zang, X., Xiang, J. et al. A Medical Image Reconstruction Algorithm Based on Composite Cosine Function Family. SIViP 16, 2103–2111 (2022). https://doi.org/10.1007/s11760-022-02172-9

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  • DOI: https://doi.org/10.1007/s11760-022-02172-9

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