A hardware architecture using finite-field arithmetic for computing maximum-likelihood estimates in emission tomography
A special-purpose hardware architecture is proposed to implement the expectation-maximization algorithm to compute, in clinically useful times, the maximum-likelihood estimate of a radionuclide distribution for a positron-emission tomogram having time-of-flight measurements. Two-dimensional convolutions required for forming the estimate are converted into a series of one-dimensional convolutions which can be evaluated in parallel. Each one-dimensional convolution is evaluated using a number-theoretic transform. All numerical calculations are performed using finite-field arithmetic. In order to avoid the use of large finite fields and to increase parallelism, each convolution is performed by a series of convolutions with small digits in a Galois field.
- Research Organization:
- 9500555; 6208000
- OSTI ID:
- 5812951
- Journal Information:
- IEEE Trans. Med. Imag.; (United States), Vol. 7:4
- Country of Publication:
- United States
- Language:
- English
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99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
EMISSION COMPUTED TOMOGRAPHY
ALGORITHMS
COMPUTER ARCHITECTURE
COMPUTER CALCULATIONS
COMPUTER CODES
ITERATIVE METHODS
MAXIMUM-LIKELIHOOD FIT
NUMERICAL SOLUTION
TWO-DIMENSIONAL CALCULATIONS
COMPUTERIZED TOMOGRAPHY
DIAGNOSTIC TECHNIQUES
MATHEMATICAL LOGIC
TOMOGRAPHY
550602* - Medicine- External Radiation in Diagnostics- (1980-)
990230 - Mathematics & Mathematical Models- (1987-1989)