Abstract

A simple method for restoration of linearly blurred images is described utilizing a weak reference beam, coherence spoiling in one dimension, and a provision for scale change. Experimental results are given.

© 1983 Optical Society of America

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References

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  1. D. Ansley, “Smeared Photograph Restitution,” Conductron Report D 5210-489 (Nov.1965) (available from Armed Services Technical Information Agency).
  2. S. I. Ragnarson, Phys. Scr. 2, 145 (1970).
    [CrossRef]
  3. C. Zetzche, Appl. Opt. 21, 1077 (1982).
    [CrossRef]
  4. R. M. Vasu, G. L. Rogers, Appl. Opt. 19, 469 (1980).
    [CrossRef] [PubMed]
  5. S. L. Zhuang, T. H. Chao, F. T. S. Yu, Opt. Lett. 6, 102 (1981).
    [CrossRef] [PubMed]
  6. G. G. Yang, E. Leith, Opt. Commun. 36, (1981).
    [CrossRef]

1982

1981

1980

1970

S. I. Ragnarson, Phys. Scr. 2, 145 (1970).
[CrossRef]

Ansley, D.

D. Ansley, “Smeared Photograph Restitution,” Conductron Report D 5210-489 (Nov.1965) (available from Armed Services Technical Information Agency).

Chao, T. H.

Leith, E.

G. G. Yang, E. Leith, Opt. Commun. 36, (1981).
[CrossRef]

Ragnarson, S. I.

S. I. Ragnarson, Phys. Scr. 2, 145 (1970).
[CrossRef]

Rogers, G. L.

Vasu, R. M.

Yang, G. G.

G. G. Yang, E. Leith, Opt. Commun. 36, (1981).
[CrossRef]

Yu, F. T. S.

Zetzche, C.

Zhuang, S. L.

Appl. Opt.

Opt. Commun.

G. G. Yang, E. Leith, Opt. Commun. 36, (1981).
[CrossRef]

Opt. Lett.

Phys. Scr.

S. I. Ragnarson, Phys. Scr. 2, 145 (1970).
[CrossRef]

Other

D. Ansley, “Smeared Photograph Restitution,” Conductron Report D 5210-489 (Nov.1965) (available from Armed Services Technical Information Agency).

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Figures (5)

Fig. 1
Fig. 1

System for deblurring: (a) normal case; (b) deblurring with a different blur width.

Fig. 2
Fig. 2

Deblurring of some text: (a) blurred; (b) deblurred.

Fig. 3
Fig. 3

Deblurring of picture: (a) blurred; (b) deblurred.

Fig. 4
Fig. 4

Same as Fig. 3 but with a smaller blur width: (a) blurred (including an enlarged portion for closer inspection); (b) deblurred.

Fig. 5
Fig. 5

Deblurred image, with system not matched to blur width, thus giving incomplete deblurring. Also coherence-spoiling grating is taken out, giving a noisy image.

Equations (9)

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g ( x , y ) = s ( x , y ) * h ( x , y ) ,
G ( u , υ ) = S ( u , υ ) H ( u , υ ) ,
H ( u , υ ) = U 0 sinc ( L 0 u / λ f 0 ) sinc ( L 0 υ / 8 λ f 0 ) U 0 sinc ( L 0 u / λ f 0 ) ,
I = U 0 2 sinc 2 ( L 0 u / λ f 0 ) + U r 2 + 2 U 0 U r sinc ( L 0 u / λ f 0 ) cos θ r ,
M = 2 U 0 U r sinc ( L 0 u / λ f 0 ) U 0 2 sinc 2 ( L 0 u / λ f 0 ) + U r 2 .
= U r U 0 sinc ( L 0 u / λ f 0 ) ,
M = 2 / ( 1 + 2 ) .
M 2 = 2 U r U 0 sinc ( L 0 u / λ f 0 ) .
M 2 / = 2 U 0 sinc ( L 0 u / λ f 0 ) / U r .

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