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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 2 — Feb. 1, 1979
  • pp: 280–290

A posteriori method of image restoration

John Baird Morton and Harry C. Andrews  »View Author Affiliations


JOSA, Vol. 69, Issue 2, pp. 280-290 (1979)
http://dx.doi.org/10.1364/JOSA.69.000280


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Abstract

Algorithms are developed which address the problem of estimating the magnitude and phase of the optical transfer function associated with a blurred image. The primary focus of the paper is on the estimate of the phase of the optical transfer function. Once an estimate of the optical transfer function has been made, the corresponding blurred imagery is Wiener filtered to estimate the original unblurred object. Results are demonstrated on real world photographically induced blurs. Included is a mathematical bound on the phase of the optical transfer function.

© 1979 Optical Society of America

Citation
John Baird Morton and Harry C. Andrews, "A posteriori method of image restoration," J. Opt. Soc. Am. 69, 280-290 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-2-280


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References

  1. C. W. Hellstrom, "Image Restoration by the Method of Least Squares," J. Opt. Soc. Am., 57, 297–303 (1967).
  2. B. L.McGlamery, "Restoration of Turbulence Degraded Images," J. Opt. Soc. Am., 57, 293–297 (1967).
  3. G. M. Robbins and T. S. Huang, "Inverse Filtering for Linear Shift-Variant Imaging Systems," Proc. IEEE, 60, 862–872 (1972).
  4. A. A. Sawchuk, "Space-Variant Image Motion Degradation and Restoration," Proc. IEEE, 60, 854–861 (1972).
  5. M. M. Sondhi, "Image Restoration: The Removal of Spatially Invariant Degradations," Proc. IEEE, 60, 842–853 (1972).
  6. B. R. Hunt, "The Application of Constrained Least Squares Estimation to Image Restoration by Digital Computer," IEEE Trans. Computers, C-22, 805–812 (1973).
  7. A. A. Sawchuk, "Space-Variant Image Restoration by Coordinate Transformations," J. Opt. Soc. Am., 64, 138–144 (1974).
  8. H. C. Andrews and B. R. Hunt, Digital Image Restoration, (Prentice-Hall, Englewood Cliffs, New Jersey, 1977).
  9. E. R. Cole, "The Removal of Unknown Image Blurs by Homomorphic Filtering," Dept. of Computer Science, University of Utah, ARPA Technical Report UTEC-CSC-74-029, June 1973.
  10. T. M. Cannon, "Digital Image Deblurring by Nonlinear Homomorphic Filtering," Dept. of Computer Science, University of Utah, ARPA Technical Report UTEC-CSC-74-091, August 1974.
  11. T. G. Stockham, T. M. Cannon, and R. B. Ingebretsen, "Blind Deconvolution Through Digital Signal Processing," Proc. IEEE, 63, 678–692 (1975).
  12. T. M. Cannon, "Blind Deconvolution of Spatially Invariant Image Blurs with Phase," IEEE Trans. Acoust., Speech, Signal Process., 24, 58–63 (1976).
  13. A. Filip, "Estimating the Impulse Response of Linear, Shift-Invariant Image Degrading Systems," Ph.D. Thesis, M.I.T., October 1972 (unpublished).
  14. B. O'Connor and T. S. Huang, "Phase Unwrapping with Applications to Stability and Picture Deblurring," Image Understanding and Information Extraction, School of Electrical Engineering, Purdue U., Report TR-EE-16, March 1977, pp. 92–142 (unpublished).
  15. K. T. Knox and B. J. Thompson, "Recovery of Images from Atmospherically Degraded Short-Exposure Photographs," Astrophys. J., 193, L45–L48 (1974).
  16. K. T. Knox, "Diffraction-Limited Imaging with Astronomical Telescopes," Ph.D. Dissertation, U. of Rochester, N.Y., (1975) (unpublished).
  17. K. T. Knox, "Image retrieval from astronomical speckle patterns," J. Opt. Soc. Am., 66, 1236–1239 (1976).
  18. E. L. O'Neill and A. Walther, "The Question of Phase in Image Formation," Opt. Acta, 10, 33–40 (1963).
  19. A. Walther, "The Question of Phase Retrieval in Optics," Opt. Acta, 10, 41–49 (1963).
  20. P. Roman and A. S. Marathay, "Analyticity and Phase Retrieval," Nuova Cimento, 30, 1452–1463 (1973).
  21. R. W. Gerchberg and W. O. Saxton, "A Practical Algorithm for the Determination of Phase from Image Diffraction Plane Pictures," Optik (Stutts.), 35, 237–246 (1972).
  22. D. Kohler and L. Mandel, "Source reconstruction from the modulus of the correlation function: A practical approach to the phase problem of optical coherence theory," J. Opt. Soc. Am., 63, 126–134 (1973).
  23. B. J. Hoenders, "On the Solution of the Phase Retrieval Problem," J. Math. Phys., 16, 1719–1725 (1975).
  24. R. A. Gonsalves, "Phase retrieval from modulus data," J. Opt. Soc. Am., 66, 961–964 (1976).
  25. B. L. McGlamery, "Image Restoration Techniques Applied to Astronomical Photography," in Astronomical Use of Television-type Image Sensors, Report No. N71-28509-525 of the National Technical Information Service of the U.S. Dept. of Commerce, 1971.
  26. I. P. Natanson, Konstruktive Funktionentheorie, (Akademie-Verlag, Berlin, 1955).
  27. A. Papoulis, Probability, Random Variables, and Stochastic Processes, (McGraw-Hill, New York, 1965).
  28. P. D. Welch, "The Use of Fast Fourier Transform for the Estimation of Power Spectra," IEEE Trans. Acoust., Speech, Signal Process., 15, 70–73 (1967).
  29. J. B. Morton, "An Investigation Into An A Posteriori Method of Image Restoration," USCIPI Report No. 810, University of Southern California Image Processing Institute, April 1978.

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