Abstract

An algorithm for automatic tracing of fringes from a digitized interferogram is proposed. The main feature of this method is that fringe centers are traced by a predictor–corrector scheme, where knowledge of the approximate fringe normal and tangent at the current point on a fringe is used to guess at a trial location for the next point. A search along the fringe normal at the new trial location then yields the exact next point on the fringe.

© 1991 Optical Society of America

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References

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  1. W. K. Pratt, Digital Image Processing (Wiley, New York, 1978).
  2. V. Parthiban, R. S. Sirohi, “Interactive Fringe Processing Algorithm for Interferogram Analysis,” Opt. Lasers Eng. 11, 103–113 (1989).
    [CrossRef]
  3. D. W. Robinson, “Automatic Fringe Analysis with a Computer Image-Processing System,” Appl. Opt. 22, 2169–2176 (1983).
    [CrossRef] [PubMed]
  4. W. R. J. Funnell, “Image Processing Applied to the Interactive Analysis of Interferometric Fringes,” Appl. Opt. 18, 3245–3250 (1981).
    [CrossRef]
  5. C. Schultheisz, Department of Aeronautics, Caltech, Pasadena, CA 91125; personal communication (1989).

1989 (1)

V. Parthiban, R. S. Sirohi, “Interactive Fringe Processing Algorithm for Interferogram Analysis,” Opt. Lasers Eng. 11, 103–113 (1989).
[CrossRef]

1983 (1)

1981 (1)

W. R. J. Funnell, “Image Processing Applied to the Interactive Analysis of Interferometric Fringes,” Appl. Opt. 18, 3245–3250 (1981).
[CrossRef]

Funnell, W. R. J.

W. R. J. Funnell, “Image Processing Applied to the Interactive Analysis of Interferometric Fringes,” Appl. Opt. 18, 3245–3250 (1981).
[CrossRef]

Parthiban, V.

V. Parthiban, R. S. Sirohi, “Interactive Fringe Processing Algorithm for Interferogram Analysis,” Opt. Lasers Eng. 11, 103–113 (1989).
[CrossRef]

Pratt, W. K.

W. K. Pratt, Digital Image Processing (Wiley, New York, 1978).

Robinson, D. W.

Schultheisz, C.

C. Schultheisz, Department of Aeronautics, Caltech, Pasadena, CA 91125; personal communication (1989).

Sirohi, R. S.

V. Parthiban, R. S. Sirohi, “Interactive Fringe Processing Algorithm for Interferogram Analysis,” Opt. Lasers Eng. 11, 103–113 (1989).
[CrossRef]

Appl. Opt. (2)

D. W. Robinson, “Automatic Fringe Analysis with a Computer Image-Processing System,” Appl. Opt. 22, 2169–2176 (1983).
[CrossRef] [PubMed]

W. R. J. Funnell, “Image Processing Applied to the Interactive Analysis of Interferometric Fringes,” Appl. Opt. 18, 3245–3250 (1981).
[CrossRef]

Opt. Lasers Eng. (1)

V. Parthiban, R. S. Sirohi, “Interactive Fringe Processing Algorithm for Interferogram Analysis,” Opt. Lasers Eng. 11, 103–113 (1989).
[CrossRef]

Other (2)

W. K. Pratt, Digital Image Processing (Wiley, New York, 1978).

C. Schultheisz, Department of Aeronautics, Caltech, Pasadena, CA 91125; personal communication (1989).

Cited By

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Figures (3)

Fig. 1
Fig. 1

Schematic representation of the algorithm.

Fig. 2
Fig. 2

(a) Relatively noise-free interferogram (from Ref. 5); (b) computer traced fringes of interferogram in (a).

Fig. 3
Fig. 3

(a) More complicated interferogram (from Ref. 5); (b) computer traced fringes of the interferogram in (a).

Equations (10)

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n 1 ( 0 ) = ( s 2 1 s 1 1 ) [ ( s 2 1 s 1 1 ) 2 + ( s 2 2 s 1 2 ) 2 ] 1 / 2 ,
n 2 ( 0 ) = ( s 2 2 s 1 2 ) [ ( s 2 1 s 1 1 ) 2 + ( s 2 2 s 1 2 ) 2 ] 1 / 2 .
t 1 ( 0 ) = ± n 1 ( 0 ) ,
t 2 ( 0 ) = n 2 ( 0 ) ,
δ ( i ) = α w ( i ) | t ( i ) · t ( i 1 ) | ,
xi ( i ) = x ( i ) + δ ( i ) t ( i ) .
x 1 ( i ) = xi ( i ) + β w ( i ) n ( i ) ,
x 2 ( i ) = xi ( i ) β w ( i ) n ( i ) ,
x p ( i ) x ( i ) | x p ( i ) x ( i ) | · t ( i ) γ,
t ( i + 1 ) = x ( i + 1 ) x ( i ) | x ( i + 1 ) x ( i ) | .

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