MART algorithm for SPECT and entropy maximization

Guy E. Mailloux; Hail Mallouche; Rita Noumeir; Raymond Lemieux

doi:10.1117/12.151193

27 August 1993 MART algorithm for SPECT and entropy maximization

Guy E. Mailloux, Hail Mallouche, Rita Noumeir, Raymond Lemieux

Proceedings Volume 1887, Physiological Imaging, Spectroscopy, and Early-Detection Diagnostic Methods; (1993) https://doi.org/10.1117/12.151193
Event: OE/LASE'93: Optics, Electro-Optics, and Laser Applications in Scienceand Engineering, 1993, Los Angeles, CA, United States

Abstract

Iterative reconstruction algorithms for single photon emission tomography (SPECT) have generally outperformed conventional Fourier back-projections algorithms. Since faster computers have allowed their use in clinical investigations it is important to identify the best iterative approach. In this paper, the MENT and MART (Multiplicative Algebraic Reconstruction Technique) algorithms have been compared. They are considered to be quite different and their performance are frequently compared in the literature. MENT is generally preferred because it produces a maximum entropy solution to the problem of reconstruction but it is much slower than MART. We have demonstrated that MART can be mathematically derived from MENT. MART should then be the algorithm of choice for entropy maximization.

Citation Download Citation

Guy E. Mailloux, Hail Mallouche, Rita Noumeir, and Raymond Lemieux "MART algorithm for SPECT and entropy maximization", Proc. SPIE 1887, Physiological Imaging, Spectroscopy, and Early-Detection Diagnostic Methods, (27 August 1993); https://doi.org/10.1117/12.151193

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