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Limited-angle CT reconstruction via the L1/L2 minimization
- Publication Year :
- 2020
-
Abstract
- In this paper, we consider minimizing the L1/L2 term on the gradient for a limited-angle scanning problem in computed tomography (CT) reconstruction. We design a specific splitting framework for an unconstrained optimization model so that the alternating direction method of multipliers (ADMM) has guaranteed convergence under certain conditions. In addition, we incorporate a box constraint that is reasonable for imaging applications, and the convergence for the additional box constraint can also be established. Numerical results on both synthetic and experimental datasets demonstrate the effectiveness and efficiency of our proposed approaches, showing significant improvements over the state-of-the-art methods in the limited-angle CT reconstruction.<br />29 pages
- Subjects :
- Physics
FOS: Computer and information sciences
medicine.diagnostic_test
Applied Mathematics
General Mathematics
Computer Vision and Pattern Recognition (cs.CV)
Physics::Medical Physics
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION
Computer Science - Computer Vision and Pattern Recognition
Computed tomography
02 engineering and technology
Numerical Analysis (math.NA)
Term (time)
Limited angle
Optimization and Control (math.OC)
0202 electrical engineering, electronic engineering, information engineering
medicine
FOS: Mathematics
020201 artificial intelligence & image processing
Minification
Mathematics - Numerical Analysis
Algorithm
Mathematics - Optimization and Control
Ct reconstruction
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....c7a5e5e0c897b35cbd5586bc5cf7f3d4