Maximum likelihood image reconstruction for SPECT
Discrete estimation algorithms are of interest in SPECT because they are readily adapted to nonstandard sampling geometry and can be explicitly designed for a variety of convergence criteria. Moreover, known attenuation maps and system response functions can be incorporated into the reconstruction framework. The maximum likelihood estimator of a previous work has been adapted to the circular fan beam geometry of SPRINT. Both attenuation and ray profile are included in the probability coefficients. The effect on convergence of raising the correction term to a power was also investigated. Results were compared to two other iterative algorithms, ART and CSIM, using identical weighting matrices and experimental data from a Derenzo phantom. The maximum likelihood algorithm gave superior images compared to either ART or CSIM. The images demonstrated excellent signal-to-noise properties and high resolution. Convergence rate was dramatically increased by increasing the exponent of the multiplicative correction. Squaring the correction gave a result at the second iteration superior to the fourth iteration with first power correction. Third power correction showed a tendency to oscillate after six iterations, but the image was already superior to any produced by either of the other algorithms through nine iterations. The maximum likelihood algorithm appears well suited for SPECT image reconstruction and its convergence rate is dramatically increased by increasing the power of the correction term.
- Research Organization:
- Univ. of Michigan, Ann Arbor, MI
- OSTI ID:
- 6843152
- Report Number(s):
- CONF-850611-
- Journal Information:
- J. Nucl. Med.; (United States), Journal Name: J. Nucl. Med.; (United States) Vol. 26:5; ISSN JNMEA
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
ALGORITHMS
COMPUTERIZED TOMOGRAPHY
CONVERGENCE
CORRECTIONS
DIAGNOSTIC TECHNIQUES
EMISSION COMPUTED TOMOGRAPHY
FUNCTIONS
IMAGE PROCESSING
MATHEMATICAL LOGIC
MAXIMUM-LIKELIHOOD FIT
NUMERICAL SOLUTION
OPTICS
PERFORMANCE
PROCESSING
RESOLUTION
RESPONSE FUNCTIONS
SIGNAL-TO-NOISE RATIO
SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY
TOMOGRAPHY