Abstract

The performance of a previously published algorithm for the determination of the direction of speckle photography fringes is evaluated through computer simulation. Numerical results indicate that even in the extreme cases of patterns with very low fringe densities and visibilities contaminated with high noise levels, fringe direction can be determined with a fair degree of accuracy (0.5°).

© 1987 Optical Society of America

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References

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  1. D. W. Robinson, “Automatic Fringe Analysis with a Computer Image-Processing System,” Appl. Opt. 22, 2169 (1983).
    [CrossRef] [PubMed]
  2. S. A. Isacson, G. H. Kaufmann, “Two-Dimensional Digital Processing of Speckle Photography Fringes: 1: Diffraction Halo Influence for the Noise-Free Case,” Appl. Opt. 24, 189 (1985).
    [CrossRef] [PubMed]
  3. S. A. Isacson, G. H. Kaufmann, “Two-Dimensional Digital Processing of Speckle Photography Fringes. 2: Diffraction Halo Influence for the Noisy Case,” Appl. Opt. 24, 1444 (1985).
    [CrossRef] [PubMed]
  4. R. Meynart, “Diffraction Halo in Speckle Photography,” Appl. Opt. 23, 2235 (1984).
    [CrossRef] [PubMed]
  5. G. K. Froehlich, J. F. Walkup, R. B. Asher, “Optimal Estimation in Signal-Dependent Noise,” J. Opt. Soc. Am. 68, 1665 (1978).
    [CrossRef]

1985

1984

1983

1978

Asher, R. B.

Froehlich, G. K.

Isacson, S. A.

Kaufmann, G. H.

Meynart, R.

Robinson, D. W.

Walkup, J. F.

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Figures (2)

Fig. 1
Fig. 1

Irradiance across a 2-D diffraction halo of four fringes and v = 1 degraded by noise: (a) noiseless case; (b) = 0.3 and τ = 0.04.

Fig. 2
Fig. 2

Determination of fringe direction.

Tables (3)

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Table I Results for a Pattern of Four Fringes and v = 1

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Table II Results for a Pattern of Six Fringes, = 0.4, and τ = 0.08

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Table III Results for a Pattern of v = 1, = 0.4, and τ = 0.08

Equations (3)

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I ( x , y ) = [ 1 - v 1 + v + 2 v 1 + v cos 2 ( π x / g ) ] I 0 ( x , y ) ,
I 0 ( x , y ) = ( 2 π ) 2 [ cos - 1 ρ - ρ ( 1 - ρ 2 ) 1 / 2 ] 2 ,
I ( m , n ) = I ( m , n ) + k I ( m , n ) n 1 + n 2 ,

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