A generalized deconvolution algorithm for image reconstruction in positron emission tomography with time-of-flight information (TOFPET)
Positron emission tomographic systems capable of time-of-flight measurements open new avenues for image reconstruction. Three algorithms have been proposed previously: the most-likely position method (MLP), the confidence weighting method (CW) and the estimated posterior-density weighting method (EPDW). While MLP suffers from poorer noise properties, both CW and EPDW require substantially more computer processing time. Mathematically, the TOFPET image data at any projection angle represents a 2D image blurred by different TOF and detector spatial resolutions in two perpendicular directions. The integration of TOFPET images over all angles produces a preprocessed 2D image which is the convolution of the true image and a rotationally symmetric point spread function (PSF). Hence the tomographic reconstruction problem for TOFPET can be viewed as nothing more than a 2D image processing task to compensate for a known PSF. A new algorithm based on a generalized iterative deconvolution method and its equivalent filters (''Metz filters'') developed earlier for conventional nuclear medicine image processing is proposed for this purpose. The algorithm can be carried out in a single step by an equivalent filter in the frequency domain; therefore, much of the computation time necessary for CW and EPDW is avoided. Results from computer simulation studies show that this new approach provides excellent resolution enhancement at low frequencies, good noise suppression at high frequencies, a reduction of Gibbs' phenomenon due to sharp filter cutoff, and better quantitative measurements than other methods.
- Research Organization:
- Univ. of Chicago, Chicago, IL
- OSTI ID:
- 6930628
- Report Number(s):
- CONF-840619-
- Journal Information:
- J. Nucl. Med.; (United States), Vol. 25:5; Conference: 31. annual meeting of the Society of Nuclear Medicine, Los Angeles, CA, USA, 5 Jun 1984
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
POSITRON COMPUTED TOMOGRAPHY
ALGORITHMS
IMAGE PROCESSING
TIME-OF-FLIGHT METHOD
COMPUTERIZED SIMULATION
DIGITAL FILTERS
FREQUENCY DEPENDENCE
IMAGES
INCIDENCE ANGLE
ITERATIVE METHODS
NOISE
NUCLEAR MEDICINE
ROTATION
SPATIAL RESOLUTION
TIME DEPENDENCE
COMPUTERIZED TOMOGRAPHY
DIAGNOSTIC TECHNIQUES
EMISSION COMPUTED TOMOGRAPHY
MATHEMATICAL LOGIC
MEDICINE
MOTION
PROCESSING
RESOLUTION
SIMULATION
TOMOGRAPHY
550602* - Medicine- External Radiation in Diagnostics- (1980-)