Abstract

We analyze the effect of image noise on the estimation of fringe orientation in principle and interpret the application of a texture-analysis technique to the problem of estimating fringe orientation in interferograms. The gradient of a Gaussian filter and neighboring-direction averaging are shown to meet the requirements of fringe-orientation estimation by reduction of the effects of low-frequency background and contrast variances as well as high-frequency random image noise. The technique also improves inaccurate orientation estimation at low-modulation points, such as fringe centers and broken fringes. Experiments demonstrate that the scales of the Gaussian gradient filter and the direction averaging should be chosen according to the fringe spacings of the interferograms.

© 1999 Optical Society of America

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  1. S. Krishnaswarmy, “Algorithm for computer tracing of interference fringes,” Appl. Opt. 30, 1624–1628 (1991).
    [CrossRef]
  2. A. G. Khadakkar, V. Jyothi, R. Narayanan, “Fringe tracing by image processing,” Opt. Eng. 33, 1872–1875 (1994).
    [CrossRef]
  3. A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
    [CrossRef]
  4. U. Mieth, W. Osten, W. Juptner, “Knowledge assisted fault detection based on line features of skeletons,” in Fringe ’93 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 19 of Akademie Verlag Series in Physical Research (Akademie Verlag, Bremen, Germany, 1993), pp. 365–373.
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  8. Q. F. Yu, A. Klaus, “Fringe-orientation maps and fringe skeleton extraction by the two-dimensional derivative-sign binary-fringe method,” Appl. Opt. 33, 6873–6878 (1994).
    [CrossRef] [PubMed]
  9. H. Canabal, J. A. Quiroga, E. Bernabeu, “Local fringe direction calculation and application in moire deflectometry,” in Fringe ’97 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 3 of Akademie Verlag Series in Optical Metrology (Akademie Verlag, Bremen, Germany, 1997), pp. 107–110.
  10. M. Kass, A. Witkin, “Analyzing oriented patterns,” Comput. Vis. Graphics Image Process. 37, 362–385 (1987).
    [CrossRef]
  11. A. R. Rao, B. G. Schunck, “Computing oriented texture fields,” CVGIP Graph. Models Image Process. 53, 157–185 (1991).
    [CrossRef]
  12. K. V. Mardia, Statistics of Directional Data (Academic, London, 1972).

1994

1993

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

1991

S. Krishnaswarmy, “Algorithm for computer tracing of interference fringes,” Appl. Opt. 30, 1624–1628 (1991).
[CrossRef]

A. R. Rao, B. G. Schunck, “Computing oriented texture fields,” CVGIP Graph. Models Image Process. 53, 157–185 (1991).
[CrossRef]

1988

1987

M. Kass, A. Witkin, “Analyzing oriented patterns,” Comput. Vis. Graphics Image Process. 37, 362–385 (1987).
[CrossRef]

1983

Aparicio, A.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Bernabeu, E.

H. Canabal, J. A. Quiroga, E. Bernabeu, “Local fringe direction calculation and application in moire deflectometry,” in Fringe ’97 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 3 of Akademie Verlag Series in Optical Metrology (Akademie Verlag, Bremen, Germany, 1997), pp. 107–110.

Caceres, S.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Canabal, H.

H. Canabal, J. A. Quiroga, E. Bernabeu, “Local fringe direction calculation and application in moire deflectometry,” in Fringe ’97 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 3 of Akademie Verlag Series in Optical Metrology (Akademie Verlag, Bremen, Germany, 1997), pp. 107–110.

de Castro, C.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

de Frutos, A. M.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Frechoso, F. A.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Juptner, W.

U. Mieth, W. Osten, W. Juptner, “Knowledge assisted fault detection based on line features of skeletons,” in Fringe ’93 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 19 of Akademie Verlag Series in Physical Research (Akademie Verlag, Bremen, Germany, 1993), pp. 365–373.

Jyothi, V.

A. G. Khadakkar, V. Jyothi, R. Narayanan, “Fringe tracing by image processing,” Opt. Eng. 33, 1872–1875 (1994).
[CrossRef]

Kass, M.

M. Kass, A. Witkin, “Analyzing oriented patterns,” Comput. Vis. Graphics Image Process. 37, 362–385 (1987).
[CrossRef]

Khadakkar, A. G.

A. G. Khadakkar, V. Jyothi, R. Narayanan, “Fringe tracing by image processing,” Opt. Eng. 33, 1872–1875 (1994).
[CrossRef]

Klaus, A.

Krishnaswarmy, S.

Liu, X. L.

Mardia, K. V.

K. V. Mardia, Statistics of Directional Data (Academic, London, 1972).

Mieth, U.

U. Mieth, W. Osten, W. Juptner, “Knowledge assisted fault detection based on line features of skeletons,” in Fringe ’93 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 19 of Akademie Verlag Series in Physical Research (Akademie Verlag, Bremen, Germany, 1993), pp. 365–373.

Molpeceres, J. L.

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Narayanan, R.

A. G. Khadakkar, V. Jyothi, R. Narayanan, “Fringe tracing by image processing,” Opt. Eng. 33, 1872–1875 (1994).
[CrossRef]

Osten, W.

U. Mieth, W. Osten, W. Juptner, “Knowledge assisted fault detection based on line features of skeletons,” in Fringe ’93 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 19 of Akademie Verlag Series in Physical Research (Akademie Verlag, Bremen, Germany, 1993), pp. 365–373.

Quiroga, J. A.

H. Canabal, J. A. Quiroga, E. Bernabeu, “Local fringe direction calculation and application in moire deflectometry,” in Fringe ’97 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 3 of Akademie Verlag Series in Optical Metrology (Akademie Verlag, Bremen, Germany, 1997), pp. 107–110.

Rao, A. R.

A. R. Rao, B. G. Schunck, “Computing oriented texture fields,” CVGIP Graph. Models Image Process. 53, 157–185 (1991).
[CrossRef]

Robinson, D. W.

Schunck, B. G.

A. R. Rao, B. G. Schunck, “Computing oriented texture fields,” CVGIP Graph. Models Image Process. 53, 157–185 (1991).
[CrossRef]

Witkin, A.

M. Kass, A. Witkin, “Analyzing oriented patterns,” Comput. Vis. Graphics Image Process. 37, 362–385 (1987).
[CrossRef]

Yu, Q. F.

Appl. Opt.

Comput. Vis. Graphics Image Process.

M. Kass, A. Witkin, “Analyzing oriented patterns,” Comput. Vis. Graphics Image Process. 37, 362–385 (1987).
[CrossRef]

CVGIP Graph. Models Image Process

A. R. Rao, B. G. Schunck, “Computing oriented texture fields,” CVGIP Graph. Models Image Process. 53, 157–185 (1991).
[CrossRef]

Opt. Eng.

A. G. Khadakkar, V. Jyothi, R. Narayanan, “Fringe tracing by image processing,” Opt. Eng. 33, 1872–1875 (1994).
[CrossRef]

A. Aparicio, J. L. Molpeceres, A. M. de Frutos, C. de Castro, S. Caceres, F. A. Frechoso, “Improved algorithm for the analysis of holographic interferograms,” Opt. Eng. 32, 963–969 (1993).
[CrossRef]

Other

U. Mieth, W. Osten, W. Juptner, “Knowledge assisted fault detection based on line features of skeletons,” in Fringe ’93 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 19 of Akademie Verlag Series in Physical Research (Akademie Verlag, Bremen, Germany, 1993), pp. 365–373.

H. Canabal, J. A. Quiroga, E. Bernabeu, “Local fringe direction calculation and application in moire deflectometry,” in Fringe ’97 Automatic Processing of Fringe Patterns, W. Juptner, W. Osten, eds., Vol. 3 of Akademie Verlag Series in Optical Metrology (Akademie Verlag, Bremen, Germany, 1997), pp. 107–110.

K. V. Mardia, Statistics of Directional Data (Academic, London, 1972).

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