iterative modular multiplication algorithm designed for efficient implementation on a processor with limited capacity such as an 8-bit microcontroller is proposed, It is a generalization of Chiou and Yang's algorithm and can be implemented in software without excessive bit shifting. A proof of corre
An accelerated multiplicative iterative algorithm in image reconstruction
β Scribed by Li Liu; Yuan-mei Wang
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 349 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0899-9457
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β¦ Synopsis
Abstract
Based on the MLβEM (maximum likelihood expectation maximization) algorithm and AWLS (one kind of multiplicative weighted least square) reconstruction, a new algorithm named RMITC (rapid multiplicative iteration with totalβcount conservation) is proposed. The new method assumes a higher order correction factor and incorporates a totalβcount conservation constraint to obtain better images reconstructed while achieving a higher speed of convergence. Computer simulated phantom data and real positron emission tomography (PET) transmission data were used to compare the new method with other reconstruction algorithms, such as MLβEM and AWLS. Results demonstrated that the new method is faster and better quantitatively than both MLβEM and AWLS. Β© 2002 Wiley Periodicals, Inc. Int J Imaging Syst Technol 12, 97β100, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10016
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