Multicriterion maximum entropy image reconstruction from projections

• Published in: IEEE transactions on medical imaging Vol. 11; no. 1; pp. 70 - 75
• Main Authors: Wang, Y., Lu, W.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.1992; Institute of Electrical and Electronics Engineers
• Subjects: Biological and medical sciences; Biomedical engineering; Biomedical imaging; Computational efficiency; Entropy; Gaussian noise; Image reconstruction; Investigative techniques, diagnostic techniques (general aspects); Least squares methods; Medical sciences; Miscellaneous. Technology; Noise generators; Noise measurement; Pixel; Radiodiagnosis. Nmr imagery. Nmr spectrometry; Mathematical analysis; Multicriteria analysis; Multiobjective programming; Computerized processing; Method of maximum entropy; Algorithm; Comparative study; Optimization; Image reconstruction; Result
• ISSN: 0278-0062; 1558-254X
• DOI: 10.1109/42.126912

A solution algorithm for the image reconstruction problem with three criteria, maximum entropy, minimum nonuniformity and peakedness, and least square error between the original projection data and projection due to reconstruction is presented. Theoretical results of precedence properties which are respected by all noninferior solutions are first derived. These precedence properties are then incorporated into a multiple-criteria optimization framework to improve the computational efficiency. Comparisons of the new algorithm to the MART and MENT algorithms are carried out using computer-generated noise-free and Gaussian noisy projections. Results of the computational experiment and the efficiency of the multiobjective entropy optimization algorithm (MEOA) are reported.< >