Learned Half-Quadratic Splitting Network for MR Image Reconstruction
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Abstract (arXiv)
Magnetic Resonance (MR) image reconstruction from highly undersampled k-space data is critical in accelerated MR imaging (MRI) techniques. In recent years, deep learning-based methods have shown great potential in this task. This paper proposes a learned half-quadratic splitting algorithm for MR image reconstruction and implements the algorithm in an unrolled deep learning network architecture. We compare the performance of our proposed method on a public cardiac MR dataset against DC-CNN and LPDNet, and our method outperforms other methods in both quantitative results and qualitative results with fewer model parameters and faster reconstruction speed. Finally, we enlarge our model to achieve superior reconstruction quality, and the improvement is 1.76 dB and 2.74 dB over LPDNet in peak signal-to-noise ratio on 5× and 10× acceleration, respectively. Code for our method is publicly available at https://github.com/hellopipu/HQS-Net.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 10 of its 22 references that are in the map. First posted on arXiv 17 Dec 2021.
Builds on
10 of 22 references.
References · 10
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Citing papers per year: 2023: 2; 2024: 1; 2025: 1; 2026: 1.
5 papers.
- 2023GA-HQS: MRI reconstruction via a generically accelerated unfolding approachcited by 3
- 2023Enhancing Electrical Impedance Tomography reconstruction using Learned Half-Quadratic Splitting Networks with Anderson Accelerationcited by 2
- 2024Joint Edge Optimization Deep Unfolding Network for Accelerated MRI Reconstructioncited by 2
- 2025Re-Visible Dual-Domain Self-Supervised Deep Unfolding Network for MRI Reconstructioncited by 1
- 2026Majorization-Minimization Networks for Inverse Problems: An Application to EEG Imagingcited by 0
- 2026Majorization-Minimization Networks for Inverse Problems: An Application to EEG Imaging23 Jan 2026
- 2025Re-Visible Dual-Domain Self-Supervised Deep Unfolding Network for MRI Reconstruction7 Jan 2025
- 2024Joint Edge Optimization Deep Unfolding Network for Accelerated MRI Reconstruction9 May 2024
- 2023Enhancing Electrical Impedance Tomography reconstruction using Learned Half-Quadratic Splitting Networks with Anderson Acceleration16 Apr 2023
- 2023GA-HQS: MRI reconstruction via a generically accelerated unfolding approach6 Apr 2023