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Improved L1/L2 minimization algorithm for segmental limited-angle CT reconstruction
Changcheng Gong1,2, Hongxia Wang1, Jie Chen1
1School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China.
Journal of X-Ray Science and Technology
|April 9, 2026
Summary
This study introduces an L1/L2 ratio method for segmental limited-angle computed tomography (CT) reconstruction. The novel approach effectively reduces artifacts and preserves image details, improving overall image quality in CT scans.
Area of Science:
- Medical Imaging
- Image Reconstruction
- Computational Imaging
Background:
- Computed tomography (CT) is vital in various fields but faces limitations like high radiation doses and long scan times.
- Segmental limited-angle (SLA) CT sampling strategies aim to mitigate these issues but often result in shading artifacts in reconstructed images.
Purpose of the Study:
- To address shading artifacts in SLA CT reconstruction.
- To enhance image quality in limited-angle CT by introducing a novel regularization technique.
Main Methods:
- A reconstruction model incorporating the L1/L2 ratio of image gradients as a regularization term for SLA CT.
- Development of an improved L1/L2 minimization algorithm, including linearization of the data fidelity term and Fast Fourier Transform (FFT) acceleration.
- Application of the alternating direction method for image reconstruction.
Main Results:
- The proposed L1/L2 method demonstrated superior performance compared to existing methods in numerical simulations and real CT data experiments.
- Effective preservation of image structures and fine details in reconstructed images.
- Significant reduction in shading artifacts inherent to SLA CT.
Conclusions:
- The L1/L2 regularization technique offers a promising solution for improving image quality in segmental limited-angle CT.
- The developed algorithm efficiently reconstructs high-quality CT images with preserved details and reduced artifacts.
- This method has the potential to enhance the applicability of CT in various domains by improving image fidelity and reducing scan burdens.

