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Superiorization-inspired unrolled SART algorithm with U-Net generated perturbations for sparse-view and limited-angle
Yiran Jia1, Noah McMichael1, Pedro Mokarzel1
1School of STEM, University of Washington Bothell, Bothell, WA 98011, United States of America.
Physics in Medicine and Biology
|December 21, 2022
Summary
This study introduces a novel unrolled algorithm for computed tomography (CT) image reconstruction, inspired by superiorization methodology and deep learning. The new method shows improved performance in limited-angle CT and comparable results in sparse-view CT.
Area of Science:
- Medical Imaging
- Computer Vision
- Machine Learning
Background:
- Unrolled algorithms are effective for challenging computed tomography (CT) image reconstruction tasks like low-dose, sparse-view, and limited-angle imaging.
- These algorithms integrate iterative reconstruction methods into neural networks, learning regularizers from data.
- Existing methods often focus on sparse-view or low-dose CT, with less exploration in limited-angle scenarios.
Purpose of the Study:
- Propose a novel unrolled algorithm for CT image reconstruction.
- Compare its performance against existing methods in sparse-view and limited-angle CT.
- Investigate the integration of deep learning with superiorization methodology for image reconstruction.
Main Methods:
- Developed a novel unrolled algorithm inspired by superiorization methodology.
- Utilized a modified U-net architecture to introduce learned perturbations during reconstruction.
- Trained the network end-to-end in a supervised manner.
- Evaluated performance on numerical experiments simulating sparse-view and limited-angle CT.
Main Results:
- The proposed algorithm achieved excellent results in both sparse-view and limited-angle CT scenarios.
- It outperformed several competing unrolled methods in limited-angle CT reconstruction.
- Performance was comparable or superior to existing methods in sparse-view CT.
Conclusions:
- The novel unrolled algorithm demonstrates significant potential for CT image reconstruction, particularly in challenging limited-angle cases.
- This work is a foundational step in applying deep learning within the superiorization methodology.
- The study highlights the impact of network architecture and the effectiveness of unrolled methods in limited-angle CT.

