A general class of preconditioners for statistical iterative reconstruction of emission computed tomography
- Univ. of California, Los Angeles, CA (United States)
A major drawback of statistical iterative image reconstruction for emission computed tomography is its high computational cost. The ill-posed nature of tomography leads to slow convergence for standard gradient-based iterative approaches such as the steepest descent or the conjugate gradient algorithm. In this paper new theory and methods for a class of preconditioners are developed for accelerating the convergence rate of iterative reconstruction. To demonstrate the potential of this class of preconditioners, a preconditioned conjugate gradient (PCG) iterative algorithm for weighted least squares reconstruction (WLS) was formulated for emission tomography. Using simulated positron emission tomography (PET) data of the Hoffman brain phantom, it was shown that the convergence rate of the PCG can reduce the number of iterations of the standard conjugate gradient algorithm by a factor of 2--8 times depending on the convergence criterion.
- Sponsoring Organization:
- USDOE, Washington, DC (United States); National Insts. of Health, Bethesda, MD (United States)
- DOE Contract Number:
- FC03-87ER60615
- OSTI ID:
- 458258
- Journal Information:
- IEEE Transactions on Medical Imaging, Journal Name: IEEE Transactions on Medical Imaging Journal Issue: 1 Vol. 16; ISSN 0278-0062; ISSN ITMID4
- Country of Publication:
- United States
- Language:
- English
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