An accelerated multiplicative iterative algorithm in image reconstruction

Li Liu

doi:10.1002/ima.10016

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An accelerated multiplicative iterative algorithm in image reconstruction

2002-09-09

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Li Liu

Yuan‐mei Wang *

DOI：10.1002/ima.10016

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Abstract

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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. (C) 2002 Wiley Periodicals, Inc.

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