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An accelerated multiplicative iterative algorithm in image reconstruction
Author(s) -
Liu Li,
Wang Yuanmei
Publication year - 2002
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.10016
Subject(s) - multiplicative function , algorithm , iterative reconstruction , computer science , convergence (economics) , constraint (computer aided design) , expectation–maximization algorithm , maximization , imaging phantom , maximum likelihood , iterative method , reconstruction algorithm , mathematical optimization , mathematics , artificial intelligence , statistics , optics , physics , economics , mathematical analysis , geometry , economic growth
Based on the ML‐EM (maximum likelihood expectation maximization) algorithm and AWLS (one kind of multiplicative weighted least square) reconstruction, a new algorithm named RMITC (rapid multiplicative iteration with total‐count conservation) is proposed. The new method assumes a higher order correction factor and incorporates a total‐count 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 ML‐EM and AWLS. Results demonstrated that the new method is faster and better quantitatively than both ML‐EM and AWLS. © 2002 Wiley Periodicals, Inc. Int J Imaging Syst Technol 12, 97–100, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10016