Abstract

Several optimal spatial filters that could be used in a coherent imaging system to remove post-detection linear distortions are obtained and their performance assessed. It is shown that the minimum mean square error filter approximates the usual inverse filter for low-contrast images. The performance of these compensation filters is illustrated by use of examples of one-dimensional signals.

© 1979 Optical Society of America

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References

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  1. E. N. Leith, "Complex Spatial Filters for Image Deconvolution," Proc. IEEE 65, 18–28 (1977).
  2. G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).
  3. C. E. K. Mees, The Theory of the Photographic Process, (Macmillan, New York, 1954).
  4. T. N. Cornsweet, Visual Perception, (Academic, New York, 1970).
  5. B. J. Thomson, "Hybrid Processing Systems–An Assessment," Proc. IEEE 65, 62–76 (1977).
  6. J. F. Barrett, "The Use of Functionals in the Analysis of Nonlinear Physical Systems," J. Electronics and Control 15, 567–615 (1963).
  7. R. K. Raney, "Quadratic Filter Theory and Partially Coherent Optical Systems," J. Opt. Soc. Am. 59, 1149–1154 (1969).
  8. B. E. A. Saleh, "Optical Bilinear Transformations–General properties," Optica Acta (to be published).
  9. B. Saleh, Photoelectron Statistics (Springer, Berlin, 1978) Chap. 2.
  10. C. W. Helstrom, "Image Restoration by the Method of Least Squares," J. Opt. Soc. Am. 57, 297–303 (1967).
  11. J. L. Horner, "Optical Spatial Filtering with the Least-Mean-Square-Error Filter," J. Opt. Soc. Am. 59, 553–558 (1969).

1969 (2)

1967 (1)

1963 (1)

J. F. Barrett, "The Use of Functionals in the Analysis of Nonlinear Physical Systems," J. Electronics and Control 15, 567–615 (1963).

Barrett, J. F.

J. F. Barrett, "The Use of Functionals in the Analysis of Nonlinear Physical Systems," J. Electronics and Control 15, 567–615 (1963).

Cornsweet, T. N.

T. N. Cornsweet, Visual Perception, (Academic, New York, 1970).

Halioua, M.

G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).

Helstrom, C. W.

Horner, J. L.

Leith, E. N.

E. N. Leith, "Complex Spatial Filters for Image Deconvolution," Proc. IEEE 65, 18–28 (1977).

Mees, C. E. K.

C. E. K. Mees, The Theory of the Photographic Process, (Macmillan, New York, 1954).

Raney, R. K.

Saleh, B.

B. Saleh, Photoelectron Statistics (Springer, Berlin, 1978) Chap. 2.

Saleh, B. E. A.

B. E. A. Saleh, "Optical Bilinear Transformations–General properties," Optica Acta (to be published).

Stroke, G. W.

G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).

Thomson, B. J.

B. J. Thomson, "Hybrid Processing Systems–An Assessment," Proc. IEEE 65, 62–76 (1977).

Thon, F.

G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).

Willasch, D. H.

G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).

J. Electronics and Control (1)

J. F. Barrett, "The Use of Functionals in the Analysis of Nonlinear Physical Systems," J. Electronics and Control 15, 567–615 (1963).

J. Opt. Soc. Am. (3)

Other (7)

B. E. A. Saleh, "Optical Bilinear Transformations–General properties," Optica Acta (to be published).

B. Saleh, Photoelectron Statistics (Springer, Berlin, 1978) Chap. 2.

E. N. Leith, "Complex Spatial Filters for Image Deconvolution," Proc. IEEE 65, 18–28 (1977).

G. W. Stroke, M. Halioua, F. Thon, and D. H. Willasch, "Image Improvement and Three-Dimensional Reconstruction Using Holographic Image Processing," Proc. IEEE 65, 39–62 (1977).

C. E. K. Mees, The Theory of the Photographic Process, (Macmillan, New York, 1954).

T. N. Cornsweet, Visual Perception, (Academic, New York, 1970).

B. J. Thomson, "Hybrid Processing Systems–An Assessment," Proc. IEEE 65, 62–76 (1977).

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