Preconditioning methods for improved convergence rates in iterative reconstructions

Journal Article · Mon Mar 01 00:00:00 EST 1993 · IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/42.222670· OSTI ID:6179510

Clinthorne, N H; Chiao, Pingchun; Rogers, W L ^[1]; Pan, T S ^[2]; Stamos, J A ^[3]

---

1. Univ. of Michigan, Ann Arbor, MI (United States). Div. of Nuclear Medicine
2. Univ. of Massachusetts, Worcester, MA (United States). Dept. of Nuclear Medicine
3. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Nuclear Engineering

Because of the characteristics of the tomographic inversion problem, iterative reconstruction techniques often suffer from poor convergence rates--especially at high spatial frequencies. By using preconditioning methods, the convergence properties of most iterative methods can be greatly enhanced without changing their ultimate solution. To increase reconstruction speed, the authors have applied spatially-invariant preconditioning filters that can be designed using the tomographic system response and implemented using 2-D frequency-domain filtering techniques. In a sample application, the authors performed reconstructions from noiseless, simulated projection data, using preconditioned and conventional steepest-descent algorithms. The preconditioned methods demonstrated residuals that were up to a factor of 30 lower than the unassisted algorithms at the same iteration. Applications of these methods to regularized reconstructions from projection data containing Poisson noise showed similar, although not as dramatic, behavior.

• OSTI ID: 6179510
• Journal Information: IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States), Vol. 12:1; ISSN 0278-0062
• Country of Publication: United States
• Language: English

Related Subjects

62 RADIOLOGY AND NUCLEAR MEDICINE
COMPUTERIZED TOMOGRAPHY
ACCURACY
FILTERS
PERFORMANCE
ALGORITHMS
BIOMEDICAL RADIOGRAPHY
IMAGE PROCESSING
OPTIMIZATION
DIAGNOSTIC TECHNIQUES
MATHEMATICAL LOGIC
MEDICINE
NUCLEAR MEDICINE
PROCESSING
RADIOLOGY
TOMOGRAPHY
550602* - Medicine- External Radiation in Diagnostics- (1980-)