Abstract

A method of deblurring an image is described that uses an achromatic, coherent optical-processing system and either one or two diffraction gratings. One grating, after differentiation, serves as a reference function that is cross correlated with the blurred image.

© 1980 Optical Society of America

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References

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  1. W. Swindell, “A noncoherent optical analog image processor”, Appl. Opt. 9, 2459 (1970).
    [CrossRef] [PubMed]
  2. C. Aleksoff, Environmental Research Institute of Michigan, Ann Arbor, Michigan 48107, personal conversation.
  3. E. Leith, J. Roth, “White light optical processing and holography”, Appl. Opt. 16, 2565 (1977).
    [CrossRef] [PubMed]

1977 (1)

1970 (1)

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Figures (5)

Fig. 1
Fig. 1

Deconvolution of a linear blur (after Swindell).

Fig. 2
Fig. 2

Optical processing system. S is the light source, L1; L2, L3, and L4 are lenses; CL is a cylindrical lens; S1 is a spatial filter (a stop); and S2 is a slit.

Fig. 3
Fig. 3

Derivation of deblurring function from Ronchi grating.

Fig. 4
Fig. 4

Michelson echelon gratings.

Fig. 5
Fig. 5

Spatially filtered gratings: (a) zeroth and first orders blocked, (b) zeroth through third orders blocked.

Equations (3)

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u ( x , y ) = s ( α - x , y ) m ( α , y ) d α = s * m ,
u ( x , y ) = s * m ,
H = C f x 2 ,

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