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Accelerated susceptibility-driven positive contrast MRI reconstruction based on primal-dual optimization with minimal
Caiyun Shi1,2, Jing Cheng3, Na Lu2
1School of Engineering, Xi'an International University, Xi'an, China.
Quantitative Imaging in Medicine and Surgery
|March 12, 2026
Summary
A new primal-dual (PD) method accelerates magnetic resonance imaging (MRI) reconstruction for metallic devices, improving visualization and image quality. Graphics processing unit (GPU) acceleration further enhances reconstruction speed.
Area of Science:
- Medical Imaging
- Optimization Algorithms
- Image Reconstruction
Background:
- Metallic implants (e.g., stents, brachytherapy seeds) cause artifacts in conventional MRI, hindering visualization.
- Susceptibility-driven positive contrast MRI (PC-MRI) uses ℓ1-norm minimization to reconstruct images but faces challenges with conventional algorithms like conjugate gradient (CG).
- CG methods exhibit slow convergence, parameter sensitivity, and suboptimal reconstruction for ill-posed problems.
Purpose of the Study:
- To develop and evaluate an accelerated primal-dual (PD) optimization framework for susceptibility-driven PC-MRI.
- To overcome the limitations of conventional CG algorithms in reconstructing images with metallic devices.
- To leverage graphics processing unit (GPU) parallelization for faster reconstruction.
Main Methods:
- Implemented an accelerated primal-dual (PD) optimization framework to solve the ℓ1-minimization problem without smoothing.
- Evaluated the method using computational simulations, phantom experiments, and in vivo studies.
- Assessed convergence, full width at half maximum (FWHM), signal-to-noise ratio (SNR), and reconstruction time, with statistical significance at P<0.01.
Main Results:
- The PD method achieved 2-4 times faster reconstruction convergence than CG, with easier parameter adjustment.
- PD demonstrated superior visualization and localization of metallic devices, with significant FWHM reduction (e.g., 11.3% improvement in Patient 2).
- Improved SNR (e.g., 19.3% enhancement in Patient 2) and 4-15 times faster reconstruction with GPU acceleration were observed.
Conclusions:
- The PD regularization technique offers faster convergence, enhanced image quality, and simpler parameter tuning for susceptibility-driven PC-MRI.
- GPU acceleration further boosts the reconstruction speed of the PD approach.
- This method significantly improves the visualization of metallic interventional devices in MRI.

