MENT: A maximum entropy algorithm for reconstructing a source from projection data

作者: Gerald Minerbo

DOI: 10.1016/0146-664X(79)90034-0

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摘要: Abstract This paper describes an iterative algorithm, MENT, which produces a maximum entropy solution to the problem of reconstructing source from discrete set projection data. Whereas MART algorithm considered by Lent in (“1976 Society Photographic Scientists and Engineers Conference Proceedings,” SPSE, Washington, D.C., 1977) uses rectangular grid represent source, MENT discretization is better suited problem. Unlike MART, does not require evaluation logarithms or exponentials. The storage requirements are also lower for MENT. Numerical examples given two-dimensional reconstruction five views. compared with regard convergence rates, artifact formation, stability against noise errors A three-dimensional version considered; we give example direct four

参考文章(18)
R.B. Lazarus, B.R. Suydam, J.E. Brolley, Maximum entropy restoration of laser fusion target x-ray photographs ,(1976)
David G. Luenberger, Optimization by Vector Space Methods ,(1968)
Harry C. Andrews, B. R. Hunt, Digital image restoration dir. ,(1977)
J.E. Brolley, R.B. Lazarus, B.R. Suydam, H.J. Trussell, Two-dimensional maximum entropy image restoration ,(1977) , 10.2172/7218359
Wernecke, D'Addario, Maximum Entropy Image Reconstruction IEEE Transactions on Computers. ,vol. 26, pp. 351- 364 ,(1977) , 10.1109/TC.1977.1674845
Richard Gordon, Robert Bender, Gabor T. Herman, Algebraic Reconstruction Techniques (ART) for three-dimensional electron microscopy and X-ray photography Journal of Theoretical Biology. ,vol. 29, pp. 471- 481 ,(1970) , 10.1016/0022-5193(70)90109-8
James M. Ortega, Maxine L. Rockoff, Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods SIAM Journal on Numerical Analysis. ,vol. 3, pp. 497- 513 ,(1966) , 10.1137/0703043
R. B. Guenther, C. W. Kerber, E. K. Killian, K. T. Smith, S. L. Wagner, Reconstruction of Objects from Radiographs and the Location of Brain Tumors Proceedings of the National Academy of Sciences of the United States of America. ,vol. 71, pp. 4884- 4886 ,(1974) , 10.1073/PNAS.71.12.4884
Samuel Schechter, ITERATION METHODS FOR NONLINEAR PROBLEMS Transactions of the American Mathematical Society. ,vol. 104, pp. 179- 189 ,(1962) , 10.1090/S0002-9947-1962-0152142-7
James W. Daniel, On the approximate minimization of functionals Mathematics of Computation. ,vol. 23, pp. 573- 581 ,(1969) , 10.1090/S0025-5718-1969-0247746-7