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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 62, Iss. 1 — Jan. 1, 1972
  • pp: 55–59

Bayesian-Based Iterative Method of Image Restoration

WILLIAM HADLEY RICHARDSON  »View Author Affiliations

JOSA, Vol. 62, Issue 1, pp. 55-59 (1972)

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An iterative method of restoring degraded images was developed by treating images, point spread functions, and degraded images as probability-frequency functions and by applying Bayes’s theorem. The method functions effectively in the presence of noise and is adaptable to computer operation.

WILLIAM HADLEY RICHARDSON, "Bayesian-Based Iterative Method of Image Restoration," J. Opt. Soc. Am. 62, 55-59 (1972)

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  1. J. L. Harris, Sr., J. Opt. Soc. Am. 56, 569 (1966).
  2. B. L. McGlamery, J. Opt. Soc. Am. 57, 293 (1967).
  3. E. Parzen, Modern Probability Theory and Its Applications (Wiley, New York, 1960), Ch. 3, Sec. 4, p. 119, Eq. 4.16.
  4. The International Dictionary of Mathematics (Van Nostrand, Princeton, N. J., 1960), p. 70, "Bayes's Theorem."
  5. R. E. Machol and P. Gray, Recent Developments in Information and Decision Processes (Macmillan, New York, 1962), p. 175, "Stable Estimation."

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