Abstract

The basic spin filter for interferometric fringe patterns is improved and developed into several new versions for different applications. These spin filters can filter off random noise efficiently and have almost no blurring effect and phase distortion for the fringe patterns. First, they find the local fringe tangent direction, and then they apply a one-dimensional low-pass filter on this direction. In this way the spin filters can separate easily and clearly high-frequency noise from a real fringe signal with nearly zero frequency. The new spin filters are suitable not only for various fringe patterns but also for wrapped-phase, line-grating, and cross-grating patterns, which are impossible by common filters.

© 1994 Optical Society of America

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References

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  1. A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity: a new approach to whole field stress analysis,” Exp. Mech. 23, 304–313 (1983).
    [CrossRef]
  2. A. S. Voloshin, C. P. Burger, “Fractional moiré strain analysis using digital imaging techniques,” Exp. Mech. 26, 254–258(1986).
    [CrossRef]
  3. Q. F. Yu, “Constructing pure digital secondary moiré patterns,” Exp. Mech. 30, 247–252 (1990).
    [CrossRef]
  4. Q. F. Yu, K. Andresen, “Two-dimensional envelope transform and local pixel transforms for strain extraction,” submitted to Appl. Opt.
  5. P. Andra, U. Mieth, W. Osten, “Strategies for unwrapping noisy interferograms in phase-sampling interferometry,” in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1508, 50–60 (1991).
  6. Q. F. Yu, “Spin filtering processes and automatic extraction of fringe center lines from interferometric patterns,” Appl. Opt. 27, 3782–3784 (1988).
    [CrossRef] [PubMed]
  7. H. A. Vrooman, A. A. M. Maas, “Interferogram analysis using image processing techniques,” in Interferometry 89, Z. Jaroszewicz, M. Pluta, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1121, 655–659 (1990).
  8. K. Andresen, Q. F. Yu, “Robust phase unwrapping by spin filtering combined with a phase direction map,” Optik 96, 145–149 (1993).

1993 (1)

K. Andresen, Q. F. Yu, “Robust phase unwrapping by spin filtering combined with a phase direction map,” Optik 96, 145–149 (1993).

1990 (1)

Q. F. Yu, “Constructing pure digital secondary moiré patterns,” Exp. Mech. 30, 247–252 (1990).
[CrossRef]

1988 (1)

1986 (1)

A. S. Voloshin, C. P. Burger, “Fractional moiré strain analysis using digital imaging techniques,” Exp. Mech. 26, 254–258(1986).
[CrossRef]

1983 (1)

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity: a new approach to whole field stress analysis,” Exp. Mech. 23, 304–313 (1983).
[CrossRef]

Andra, P.

P. Andra, U. Mieth, W. Osten, “Strategies for unwrapping noisy interferograms in phase-sampling interferometry,” in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1508, 50–60 (1991).

Andresen, K.

K. Andresen, Q. F. Yu, “Robust phase unwrapping by spin filtering combined with a phase direction map,” Optik 96, 145–149 (1993).

Q. F. Yu, K. Andresen, “Two-dimensional envelope transform and local pixel transforms for strain extraction,” submitted to Appl. Opt.

Burger, C. P.

A. S. Voloshin, C. P. Burger, “Fractional moiré strain analysis using digital imaging techniques,” Exp. Mech. 26, 254–258(1986).
[CrossRef]

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity: a new approach to whole field stress analysis,” Exp. Mech. 23, 304–313 (1983).
[CrossRef]

Maas, A. A. M.

H. A. Vrooman, A. A. M. Maas, “Interferogram analysis using image processing techniques,” in Interferometry 89, Z. Jaroszewicz, M. Pluta, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1121, 655–659 (1990).

Mieth, U.

P. Andra, U. Mieth, W. Osten, “Strategies for unwrapping noisy interferograms in phase-sampling interferometry,” in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1508, 50–60 (1991).

Osten, W.

P. Andra, U. Mieth, W. Osten, “Strategies for unwrapping noisy interferograms in phase-sampling interferometry,” in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1508, 50–60 (1991).

Voloshin, A. S.

A. S. Voloshin, C. P. Burger, “Fractional moiré strain analysis using digital imaging techniques,” Exp. Mech. 26, 254–258(1986).
[CrossRef]

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity: a new approach to whole field stress analysis,” Exp. Mech. 23, 304–313 (1983).
[CrossRef]

Vrooman, H. A.

H. A. Vrooman, A. A. M. Maas, “Interferogram analysis using image processing techniques,” in Interferometry 89, Z. Jaroszewicz, M. Pluta, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1121, 655–659 (1990).

Yu, Q. F.

K. Andresen, Q. F. Yu, “Robust phase unwrapping by spin filtering combined with a phase direction map,” Optik 96, 145–149 (1993).

Q. F. Yu, “Constructing pure digital secondary moiré patterns,” Exp. Mech. 30, 247–252 (1990).
[CrossRef]

Q. F. Yu, “Spin filtering processes and automatic extraction of fringe center lines from interferometric patterns,” Appl. Opt. 27, 3782–3784 (1988).
[CrossRef] [PubMed]

Q. F. Yu, K. Andresen, “Two-dimensional envelope transform and local pixel transforms for strain extraction,” submitted to Appl. Opt.

Appl. Opt. (1)

Exp. Mech. (3)

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity: a new approach to whole field stress analysis,” Exp. Mech. 23, 304–313 (1983).
[CrossRef]

A. S. Voloshin, C. P. Burger, “Fractional moiré strain analysis using digital imaging techniques,” Exp. Mech. 26, 254–258(1986).
[CrossRef]

Q. F. Yu, “Constructing pure digital secondary moiré patterns,” Exp. Mech. 30, 247–252 (1990).
[CrossRef]

Optik (1)

K. Andresen, Q. F. Yu, “Robust phase unwrapping by spin filtering combined with a phase direction map,” Optik 96, 145–149 (1993).

Other (3)

H. A. Vrooman, A. A. M. Maas, “Interferogram analysis using image processing techniques,” in Interferometry 89, Z. Jaroszewicz, M. Pluta, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1121, 655–659 (1990).

Q. F. Yu, K. Andresen, “Two-dimensional envelope transform and local pixel transforms for strain extraction,” submitted to Appl. Opt.

P. Andra, U. Mieth, W. Osten, “Strategies for unwrapping noisy interferograms in phase-sampling interferometry,” in Industrial Applications of Holographic and Speckle Measuring Techniques, W. P. Jueptner, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1508, 50–60 (1991).

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Figures (8)

Fig. 1
Fig. 1

Intensity variation of a fringe pattern in different directions.

Fig. 2
Fig. 2

Direction filter lines for the first five directions.

Fig. 3
Fig. 3

Spin filter near an intersection of cross fingers or cross gratings.

Fig. 4
Fig. 4

Simulated fringe pattern with 15 circular fringes; Gaussian random noise with amplitude of 60 is added.

Fig. 5
Fig. 5

Resultant image after spin filtering of image in Fig. 4.

Fig. 6
Fig. 6

Intensity distribution of a cross section of the image in Fig. 4 (a) before and (b) after spin filtering.

Fig. 7
Fig. 7

Standard deviation distributions versus filter window sizes by the spin, median, and average filterings for a simulated fringe pattern with 15 fringes.

Fig. 8
Fig. 8

Local magnified cross gratings: (a) the image before filtering, (b) the image after filtering by the one-arm spin filter.

Equations (5)

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A i j k = 1 n l = 1 n G l k ,
D i j k = l = 1 n G l k - A i j k .
k k = dir [ min ( D i j k ) ] .
A i j k k = 1 n - 1 l = 1 n - 1 G l k k ( l m , G m k k - A i j k k = max ) .
G i j = A i j k k .

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