Abstract

For incoherent imaging systems, wave-front aberrations can have the effect of severely reducing the contrast of high spatial frequencies. Although postdetection image processing can improve image detail, the success of such an approach is limited by image noise. If a simple spatial filter consisting of a nonredundant array of clear openings in an opaque mask is placed in the pupil plane of the system, postdetection image processing yields a restored image superior to that obtainable from a system without the pupil-plane filter. Experimental results confirm the predictions of the theory.

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  1. M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergamon, London, 1965), p. 486.
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 108.
  3. Reference 2, p. 123.
  4. J. Tsujiuchi, Progress in Optics, II, edited by E. Wolf (North-Holland, Amsterdam, 1963), p. 131.
  5. A. Maréchal and P. Croce, Compt. Rend. 237, 607 (1953).
  6. J. L. Horner, J. Opt. Soc. Am. 59, 553 (1969).
  7. Reference 1, p. 211.
  8. Reference 1, p. 210.
  9. R. C. Jones, J. Opt. Soc. Am. 51, 1159 (1961).
  10. H. H. Hopkins, Proc. Roy. Soc. (London) A231, 98 (1955).
  11. M. De, Proc. Roy. Soc. (London) A233, 91 (1955).
  12. P. A. Stokseth, J. Opt. Soc. Am. 59, 1314 (1969).
  13. P. Jaquinot and B. Roizen-Dossier, in Progress in Optics, III, edited by E. Wolf (North-Holland, Amsterdam, 1964), p. 29.
  14. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 114.
  15. F. D. Russell, thesis, Stanford University, Stanford, Calif. (Available from University Microfilms, Ann Arbor, Mich.)
  16. A. T. Moffet, IEEE Trans. AP-16, 172 (1968).
  17. J. Singer, Trans. Am. Math. Soc. 43, 377 (1938).
  18. M. Golay, private communication.

Born, M.

M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergamon, London, 1965), p. 486.

Croce, P.

A. Maréchal and P. Croce, Compt. Rend. 237, 607 (1953).

De, M.

M. De, Proc. Roy. Soc. (London) A233, 91 (1955).

Golay, M.

M. Golay, private communication.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 108.

Hopkins, H. H.

H. H. Hopkins, Proc. Roy. Soc. (London) A231, 98 (1955).

Horner, J. L.

J. L. Horner, J. Opt. Soc. Am. 59, 553 (1969).

Jaquinot, P.

P. Jaquinot and B. Roizen-Dossier, in Progress in Optics, III, edited by E. Wolf (North-Holland, Amsterdam, 1964), p. 29.

Jones, R. C.

R. C. Jones, J. Opt. Soc. Am. 51, 1159 (1961).

Maréchal, A.

A. Maréchal and P. Croce, Compt. Rend. 237, 607 (1953).

Moffet, A. T.

A. T. Moffet, IEEE Trans. AP-16, 172 (1968).

O’Neill, E. L.

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 114.

Roizen-Dossier, B.

P. Jaquinot and B. Roizen-Dossier, in Progress in Optics, III, edited by E. Wolf (North-Holland, Amsterdam, 1964), p. 29.

Russell, F. D.

F. D. Russell, thesis, Stanford University, Stanford, Calif. (Available from University Microfilms, Ann Arbor, Mich.)

Singer, J.

J. Singer, Trans. Am. Math. Soc. 43, 377 (1938).

Stokseth, P. A.

P. A. Stokseth, J. Opt. Soc. Am. 59, 1314 (1969).

Tsujiuchi, J.

J. Tsujiuchi, Progress in Optics, II, edited by E. Wolf (North-Holland, Amsterdam, 1963), p. 131.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergamon, London, 1965), p. 486.

Other

M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergamon, London, 1965), p. 486.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 108.

Reference 2, p. 123.

J. Tsujiuchi, Progress in Optics, II, edited by E. Wolf (North-Holland, Amsterdam, 1963), p. 131.

A. Maréchal and P. Croce, Compt. Rend. 237, 607 (1953).

J. L. Horner, J. Opt. Soc. Am. 59, 553 (1969).

Reference 1, p. 211.

Reference 1, p. 210.

R. C. Jones, J. Opt. Soc. Am. 51, 1159 (1961).

H. H. Hopkins, Proc. Roy. Soc. (London) A231, 98 (1955).

M. De, Proc. Roy. Soc. (London) A233, 91 (1955).

P. A. Stokseth, J. Opt. Soc. Am. 59, 1314 (1969).

P. Jaquinot and B. Roizen-Dossier, in Progress in Optics, III, edited by E. Wolf (North-Holland, Amsterdam, 1964), p. 29.

E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963), p. 114.

F. D. Russell, thesis, Stanford University, Stanford, Calif. (Available from University Microfilms, Ann Arbor, Mich.)

A. T. Moffet, IEEE Trans. AP-16, 172 (1968).

J. Singer, Trans. Am. Math. Soc. 43, 377 (1938).

M. Golay, private communication.

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