Maximum Entropy Image Reconstruction

IEEE Transactions on Computers

Volumn C-26, Issue 4, 1977, Pages 351-364

  Wernecke, Stephen J ^a   D'Addario, Larry R ^b  

^a STANFORD UNIVERSITY   (United States)

^b NATIONAL RADIO ASTRONOMY OBSERVATORY   (United States)

Author keywords

Digital image processing; Fourier synthesis; image processing; image reconstruction; maximum entropy; radio telescopes; statistical estimation theory

Indexed keywords

IMAGE PROCESSING;

EID: 0017480946     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.1977.1674845     Document Type: Article

References (32)

1. B. R. Hunt, “Digital image processing,” Proc. IEEE, vol. 63, pp. 693-708, 1975.
2. A. Macovski, R. E. Alvarez, J. L.-H. Chan, and J. P. Stonestrom, “Correction for spectral shift-artifacts in X-ray computerized tomography,” presented at Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences Meeting, Stanford, CA, Aug. 4-7, 1975.
3. B. R. Hunt, “Bayesian methods of nonlinear digital image restoration,” IEEE Trans. Comput., to be published.
4. G. T. Herman and A. Lent, “A computer implementation of a Bayesian analysis of image reconstruction,” State Univ. of New York, Buffalo, NY, Tech. Rep. 91, 1974.
5. B. R. Hunt and T. M. Cannon, “Nonstationary assumptions for Gaussian models of images,” IEEE Trans. Syst., Man, and Cybern., to be published.
6. E. T. Jaynes, “Prior probabilities,” IEEE Trans. Syst. Sci. Cybern., vol. SSC-4, pp. 227-241, 1968.
7. J. G. Abies, “Notes on maximum entropy spectral analysis,” Astron. Astrophy. Suppl., vol. 15, 1974.
8. D. E. Smylie, G. K. C. Clarke, and T. J. Ulrych, “Analysis of the irregularities in the earth's rotation,” in Methods in Computational Physics, vol. 13, B. Alder, S. Feinbach, and B. A. Bolt, Eds. New York: Academic Press, 1973.
9. L. Brillouin, Science and Information Theory. New York: Academic Press, 1956.
10. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication. Urbana, IL: University of Illinois Press, 1949.
11. B. R. Frieden, “Restoring with maximum likelihood and maximum entropy,” J. Opt. Soc. Amer., vol. 62, no. 4, pp. 511-518, 1972.
12. R. Gordon and G. T. Herman, “Reconstruction of pictures from their projections,” Quarterly Bull. Center for Theor. Biol., vol. 4, pp. 71-151, 1971.
13. J. P. Burg, “Maximum entropy spectral analysis,” presented at the 37th Meeting Soc. of Exploration Geophysicists, Oklahoma City, OK, 1967.
14. J. P. Burg, “A new analysis technique for time series data,” presented at NATO Adv. Study Inst, on Signal Processing with Emphasis on Underwater Acoustics, 1968.
15. M. S. Bartlett, An Introduction to Stochastic Processes. London, England: Cambridge University Press, 1966.
16. N. Levinson, “The Wiener rms (root mean square) error criterion in filter design and prediction,” J. Math, and Phys., vol. 25, pp. 261-278, 1947.
17. T. J. Ulrych and O. G. Jensen, “Cross-spectral analysis using maximum entropy,” Geophysics, vol. 39, pp. 353-354, 1974.
18. A. Van den Bos, “Alternative interpretation of maximum entropy spectral analysis,” IEEE Trans. Inform. Theory, vol. 17, pp. 493-494, 1971.
19. J. E. B. Ponsonby, “An entropy measure for partially polarized radiation and its application to estimating radio sky polarization distributions from incomplete 'aperture synthesis' data by the maximum entropy method,” Mon. Not. R. Astr. Soc., vol. 163, pp. 369-380, 1973.
20. M. Born and E. Wolf, Principles of Optics. Oxford: Pergamon Press, 1970.
21. S. J. Wernecke, “Maximum entropy image reconstruction,” presented at Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences Meeting, Stanford, CA, Aug. 1975.
22. G. W. Swenson and N. C. Mathur, “The interferometer in radio astronomy,” Proc. IEEE, vol. 56, p. 2114, 1968.
23. R. B. Blackman and J. W. Tukey, The Measurement of Power Spectra. New York: Dover, 1958.
24. R. N. Bracewell and A. R. Thompson, “The main beam and ringlobes of an east-west rotation-synthesis array,” Astrophys. J., vol. 182, pp. 77-94, 1973.
25. R. M. Mersereau and D. E. Dudgeon, “Two-Dimensional digital filtering,” Proc. IEEE, vol. 63, pp. 610-623, 1975.
26. B. R. Hunt, “Minimizing the computation time for using the technique of sectioning for digital filtering of pictures,” IEEE Trans. Comput., vol. C-21, pp. 1219-1222, 1972.
27. R. L. Fox, Optimization Methods for Engineering Design. Reading, MA: Addison-Wesley, 1971.
28. W. Murray, Ed., Numerical Methods for Unconstrained Optimization. New York: Academic Press, 1972.
29. E. J. Beltrami, An Algorithmic Approach to Nonlinear Analysis and Optimization. New York: Academic Press, 1970.
30. R. Fletcher and M. J. D. Powell, “A rapidly convergent descent method for minimization,” Comput. J., vol. 6, pp. 163-168, 1963.
31. R. Fletcher and C. M. Reeves, “Function minimization by conjugate gradients,” Comput. J., vol. 7, pp. 149-154, 1964.
32. R. N. Bracewell, R. S. Colvin, L. R. D'Addario, C. J. Grebenkemper, K. M. Price, and A. R. Thompson, “The Stanford five-element radio telescope,” Proc. IEEE, vol. 61, pp. 1249-1257, Sept. 1973.