Abstract

We present a technique employing a speckle pattern correlation method for detection of the slope of an object's surface. Controlled translation of an object under investigation and numerical correlation of speckle patterns recorded during its motion give information used to evaluate the tilt of the object. The proposed optical setup uses a symmetrical arrangement of detection planes in the image field and enables one to detect the tilt of an object's surface within the interval (10°-30°). Simulation analysis shows how to control the measuring range. The presented theory, simulation analysis, and setup are verified through an experiment by measurement of the slope of a surface of a cube made out of steel.

© 2006 Optical Society of America

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  1. H. Tiziani, "A study of the use of laser speckle to measure small tilts of optically rough surfaces accurately," Opt. Commun. 5, 271-274 (1972).
    [CrossRef]
  2. D. A. Gregory, "Basic physical principles of defocused speckle photography: a tilt topology inspection technique," Opt. Laser Technol. 8, 201-213 (1976).
    [CrossRef]
  3. D. A. Gregory, "Speckle scatter, affine geometry and tilt topology," Opt. Commun. 20, 1-5 (1977).
    [CrossRef]
  4. F. P. Chiang and R. M. Juang, "Laser speckle interferometry for plate bending problems," Appl. Opt. 15, 2199-2204 (1976).
  5. R. K. Mohanty, C. Joenathan, and R. S. Sirohi, "Speckle and speckle-shearing interferometers combined for the simultaneous determination of out-of-plane displacement and slope," Appl. Opt. 24, 3106-3109 (1985).
  6. D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
    [CrossRef]
  7. M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
    [CrossRef]
  8. D. Kelly, B. Hennelly, and J. Sheridan, "Magnitude and direction of motion with speckle correlation and the optical fractional Fourier transform," Appl. Opt. 44, 2720-2727 (2005).
    [CrossRef]
  9. J. Diazdelacruz, "Multiwindowed defocused electronic speckle photographic system for tilt measurement," Appl. Opt. 44, 2250-2257 (2005).
    [CrossRef]
  10. R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
    [CrossRef]
  11. L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
    [CrossRef]
  12. T. Rössler, "Metrological properties of Moiré topography," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 177-185 (2002).
    [CrossRef]
  13. P. Pavlícek, "Height profile measurement by means of white light interferometry," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 139-144 (2002).
    [CrossRef]
  14. T. Dresel, G. Häusler, and H. Venzke, "Three-dimensional sensing of rough surfaces by coherence radar," Appl. Opt. 31, 919-925 (1992).
  15. M. Knauer, J. Kaminski, and G. Häusler, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces," in Optical Metrology in Production Engineering, W. Osten and M. Takeda, eds., SPIE Proc. 5457, 366-376 (2004).
    [CrossRef]
  16. I. Yamaguchi, "Speckle displacement and decorrelation in the diffraction and image fields for small object deformation," Opt. Acta 28, 1359-1376 (1981).
  17. I. Yamaguchi, "Theory and applications of speckle displacement and decorrelation," in Speckle Metrology, R.S.Sirohi, ed. (Marcel Dekker, 1993), pp. 1-39.
  18. M. Sjödahl, "Calculation of speckle displacement, decorrelation, and object-point location in imaging systems," Appl. Opt. 34, 7998-8010 (1995).
  19. P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
    [CrossRef]
  20. I. Yamaguchi and T. Fujita, "Laser speckle rotary encoder," Appl. Opt. 28, 4401-4406 (1989).
  21. M. Hrabovský, Z. Baca, and P. Horváth, "Measurement of an object rotation using the theory of speckle pattern decorrelation," Optik 111, 359-366 (2000).
  22. I. Yamaguchi, "Automatic measurement of in-plane translation by speckle correlation using a linear image sensor," J. Phys. E 19, 944-949 (1986).
  23. P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).
  24. I. Yamaguchi, K. Kobayashi, and S. Kuwashima, "A stabilized laser speckle strain gauge," in Stress and Vibration: Recent Developments in Industrial Measurement and Analysis, P. Stanley, ed., Proc. SPIE 1084, 45-52 (1989).
  25. I. Yamaguchi, T. Takemori, and K. Kobayashi, "Stabilized and accelerated speckle strain gauge," Opt. Eng. 32, 618-625 (1993).
    [CrossRef]
  26. I. Yamaguchi and K. Kobayashi, "Material testing by the laser speckle strain gauge," in Speckle Techniques, Birefringence Methods, and Applications to Solid Mechanics, F.-P. Chiang, ed., Proc. SPIE 1554A, 240-249 (1991).
  27. P. Horváth, M. Hrabovský, and P. Smíd, "Analysis of stress measurement by means of speckle decorrelation," in Surface Scattering and Diffraction III, Z.-H. Gu and A. A. Maradudin, eds., SPIE Proc. 5189, 174-181 (2003).
    [CrossRef]
  28. M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).
  29. I. Yamaguchi, K. Kobayashi, and L. Yaroslavsky, "Measurement of surface roughness by speckle correlation," Opt. Eng. 43, 2753-2761 (2004).
    [CrossRef]
  30. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).
  31. M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
    [CrossRef]

2005 (2)

2004 (4)

M. Knauer, J. Kaminski, and G. Häusler, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces," in Optical Metrology in Production Engineering, W. Osten and M. Takeda, eds., SPIE Proc. 5457, 366-376 (2004).
[CrossRef]

P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
[CrossRef]

P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).

I. Yamaguchi, K. Kobayashi, and L. Yaroslavsky, "Measurement of surface roughness by speckle correlation," Opt. Eng. 43, 2753-2761 (2004).
[CrossRef]

2003 (2)

P. Horváth, M. Hrabovský, and P. Smíd, "Analysis of stress measurement by means of speckle decorrelation," in Surface Scattering and Diffraction III, Z.-H. Gu and A. A. Maradudin, eds., SPIE Proc. 5189, 174-181 (2003).
[CrossRef]

M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
[CrossRef]

2002 (4)

L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
[CrossRef]

T. Rössler, "Metrological properties of Moiré topography," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 177-185 (2002).
[CrossRef]

P. Pavlícek, "Height profile measurement by means of white light interferometry," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 139-144 (2002).
[CrossRef]

M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).

2001 (1)

M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
[CrossRef]

2000 (1)

M. Hrabovský, Z. Baca, and P. Horváth, "Measurement of an object rotation using the theory of speckle pattern decorrelation," Optik 111, 359-366 (2000).

1998 (1)

R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
[CrossRef]

1995 (1)

1993 (1)

I. Yamaguchi, T. Takemori, and K. Kobayashi, "Stabilized and accelerated speckle strain gauge," Opt. Eng. 32, 618-625 (1993).
[CrossRef]

1992 (1)

1991 (1)

I. Yamaguchi and K. Kobayashi, "Material testing by the laser speckle strain gauge," in Speckle Techniques, Birefringence Methods, and Applications to Solid Mechanics, F.-P. Chiang, ed., Proc. SPIE 1554A, 240-249 (1991).

1989 (2)

I. Yamaguchi, K. Kobayashi, and S. Kuwashima, "A stabilized laser speckle strain gauge," in Stress and Vibration: Recent Developments in Industrial Measurement and Analysis, P. Stanley, ed., Proc. SPIE 1084, 45-52 (1989).

I. Yamaguchi and T. Fujita, "Laser speckle rotary encoder," Appl. Opt. 28, 4401-4406 (1989).

1986 (1)

I. Yamaguchi, "Automatic measurement of in-plane translation by speckle correlation using a linear image sensor," J. Phys. E 19, 944-949 (1986).

1985 (1)

1984 (1)

D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
[CrossRef]

1981 (1)

I. Yamaguchi, "Speckle displacement and decorrelation in the diffraction and image fields for small object deformation," Opt. Acta 28, 1359-1376 (1981).

1977 (1)

D. A. Gregory, "Speckle scatter, affine geometry and tilt topology," Opt. Commun. 20, 1-5 (1977).
[CrossRef]

1976 (2)

F. P. Chiang and R. M. Juang, "Laser speckle interferometry for plate bending problems," Appl. Opt. 15, 2199-2204 (1976).

D. A. Gregory, "Basic physical principles of defocused speckle photography: a tilt topology inspection technique," Opt. Laser Technol. 8, 201-213 (1976).
[CrossRef]

1972 (1)

H. Tiziani, "A study of the use of laser speckle to measure small tilts of optically rough surfaces accurately," Opt. Commun. 5, 271-274 (1972).
[CrossRef]

Baca, Z.

M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).

M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
[CrossRef]

M. Hrabovský, Z. Baca, and P. Horváth, "Measurement of an object rotation using the theory of speckle pattern decorrelation," Optik 111, 359-366 (2000).

Chiang, F. P.

D'Acquisto, L.

L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
[CrossRef]

Diazdelacruz, J.

Dresel, T.

Duan, Z.

M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
[CrossRef]

Fratini, L.

L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
[CrossRef]

Fujita, T.

Gokhler, M.

M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
[CrossRef]

Gregory, D. A.

D. A. Gregory, "Speckle scatter, affine geometry and tilt topology," Opt. Commun. 20, 1-5 (1977).
[CrossRef]

D. A. Gregory, "Basic physical principles of defocused speckle photography: a tilt topology inspection technique," Opt. Laser Technol. 8, 201-213 (1976).
[CrossRef]

Häusler, G.

M. Knauer, J. Kaminski, and G. Häusler, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces," in Optical Metrology in Production Engineering, W. Osten and M. Takeda, eds., SPIE Proc. 5457, 366-376 (2004).
[CrossRef]

T. Dresel, G. Häusler, and H. Venzke, "Three-dimensional sensing of rough surfaces by coherence radar," Appl. Opt. 31, 919-925 (1992).

Hennelly, B.

Horváth, P.

P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
[CrossRef]

P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).

P. Horváth, M. Hrabovský, and P. Smíd, "Analysis of stress measurement by means of speckle decorrelation," in Surface Scattering and Diffraction III, Z.-H. Gu and A. A. Maradudin, eds., SPIE Proc. 5189, 174-181 (2003).
[CrossRef]

M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).

M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
[CrossRef]

M. Hrabovský, Z. Baca, and P. Horváth, "Measurement of an object rotation using the theory of speckle pattern decorrelation," Optik 111, 359-366 (2000).

Hrabovský, M.

P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).

P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
[CrossRef]

P. Horváth, M. Hrabovský, and P. Smíd, "Analysis of stress measurement by means of speckle decorrelation," in Surface Scattering and Diffraction III, Z.-H. Gu and A. A. Maradudin, eds., SPIE Proc. 5189, 174-181 (2003).
[CrossRef]

M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).

M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
[CrossRef]

M. Hrabovský, Z. Baca, and P. Horváth, "Measurement of an object rotation using the theory of speckle pattern decorrelation," Optik 111, 359-366 (2000).

Joenathan, C.

Juang, R. M.

Kaminski, J.

M. Knauer, J. Kaminski, and G. Häusler, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces," in Optical Metrology in Production Engineering, W. Osten and M. Takeda, eds., SPIE Proc. 5457, 366-376 (2004).
[CrossRef]

Kelly, D.

Knauer, M.

M. Knauer, J. Kaminski, and G. Häusler, "Phase measuring deflectometry: a new approach to measure specular free-form surfaces," in Optical Metrology in Production Engineering, W. Osten and M. Takeda, eds., SPIE Proc. 5457, 366-376 (2004).
[CrossRef]

Kobayashi, K.

I. Yamaguchi, K. Kobayashi, and L. Yaroslavsky, "Measurement of surface roughness by speckle correlation," Opt. Eng. 43, 2753-2761 (2004).
[CrossRef]

I. Yamaguchi, T. Takemori, and K. Kobayashi, "Stabilized and accelerated speckle strain gauge," Opt. Eng. 32, 618-625 (1993).
[CrossRef]

I. Yamaguchi and K. Kobayashi, "Material testing by the laser speckle strain gauge," in Speckle Techniques, Birefringence Methods, and Applications to Solid Mechanics, F.-P. Chiang, ed., Proc. SPIE 1554A, 240-249 (1991).

I. Yamaguchi, K. Kobayashi, and S. Kuwashima, "A stabilized laser speckle strain gauge," in Stress and Vibration: Recent Developments in Industrial Measurement and Analysis, P. Stanley, ed., Proc. SPIE 1084, 45-52 (1989).

Kothiyal, M. P.

D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
[CrossRef]

Kumar, A.

R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
[CrossRef]

Kuwashima, S.

I. Yamaguchi, K. Kobayashi, and S. Kuwashima, "A stabilized laser speckle strain gauge," in Stress and Vibration: Recent Developments in Industrial Measurement and Analysis, P. Stanley, ed., Proc. SPIE 1084, 45-52 (1989).

Mohanty, R. K.

Pati, G. S.

R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
[CrossRef]

Pavlícek, P.

P. Pavlícek, "Height profile measurement by means of white light interferometry," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 139-144 (2002).
[CrossRef]

Rosen, J.

M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
[CrossRef]

Rössler, T.

T. Rössler, "Metrological properties of Moiré topography," in 13th Polish-Czech-Slovak Conference on Wave and Quantum Aspects of Contemporary Optics, M. Zaja̧c and J. Masajada, eds., Proc. SPIE 5259, 177-185 (2002).
[CrossRef]

Saleh, B. E. A.

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).

Sharma, D. K.

D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
[CrossRef]

Sheridan, J.

Siddiolo, A. M.

L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
[CrossRef]

Singh, K.

R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
[CrossRef]

Sirohi, R. S.

R. K. Mohanty, C. Joenathan, and R. S. Sirohi, "Speckle and speckle-shearing interferometers combined for the simultaneous determination of out-of-plane displacement and slope," Appl. Opt. 24, 3106-3109 (1985).

D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
[CrossRef]

Sjödahl, M.

Smíd, P.

P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).

P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
[CrossRef]

P. Horváth, M. Hrabovský, and P. Smíd, "Analysis of stress measurement by means of speckle decorrelation," in Surface Scattering and Diffraction III, Z.-H. Gu and A. A. Maradudin, eds., SPIE Proc. 5189, 174-181 (2003).
[CrossRef]

M. Hrabovský, P. Smíd, P. Horváth, and Z. Baca, "Measurement of object vibrations using the theory of speckle pattern decorrelation," Optik 113, 117-120 (2002).

M. Hrabovský, P. Horváth, Z. Baca, and P. Smíd, "Noncontact measurement of object normal vibrations using the theory of speckle decorrelation," in 12th Czech-Slovak-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, J. Perina, M. Hrabovský, and J. Krepelka, eds., Proc. SPIE 4356, 309-317 (2001).
[CrossRef]

Takeda, M.

M. Gokhler, Z. Duan, J. Rosen, and M. Takeda, "Spatial coherence radar applied for tilted surface profilometry," Opt. Eng. 42, 830-836 (2003).
[CrossRef]

Takemori, T.

I. Yamaguchi, T. Takemori, and K. Kobayashi, "Stabilized and accelerated speckle strain gauge," Opt. Eng. 32, 618-625 (1993).
[CrossRef]

Teich, M. C.

B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics (Wiley, 1991).

Tiziani, H.

H. Tiziani, "A study of the use of laser speckle to measure small tilts of optically rough surfaces accurately," Opt. Commun. 5, 271-274 (1972).
[CrossRef]

Tripathi, R.

R. Tripathi, G. S. Pati, A. Kumar, and K. Singh, "Object tilt measurement using a photorefractive speckle correlator: theoretical and experimental analysis," Opt. Eng. 37, 2988-2997 (1998).
[CrossRef]

Venzke, H.

Yamaguchi, I.

I. Yamaguchi, K. Kobayashi, and L. Yaroslavsky, "Measurement of surface roughness by speckle correlation," Opt. Eng. 43, 2753-2761 (2004).
[CrossRef]

I. Yamaguchi, T. Takemori, and K. Kobayashi, "Stabilized and accelerated speckle strain gauge," Opt. Eng. 32, 618-625 (1993).
[CrossRef]

I. Yamaguchi and K. Kobayashi, "Material testing by the laser speckle strain gauge," in Speckle Techniques, Birefringence Methods, and Applications to Solid Mechanics, F.-P. Chiang, ed., Proc. SPIE 1554A, 240-249 (1991).

I. Yamaguchi and T. Fujita, "Laser speckle rotary encoder," Appl. Opt. 28, 4401-4406 (1989).

I. Yamaguchi, K. Kobayashi, and S. Kuwashima, "A stabilized laser speckle strain gauge," in Stress and Vibration: Recent Developments in Industrial Measurement and Analysis, P. Stanley, ed., Proc. SPIE 1084, 45-52 (1989).

I. Yamaguchi, "Automatic measurement of in-plane translation by speckle correlation using a linear image sensor," J. Phys. E 19, 944-949 (1986).

I. Yamaguchi, "Speckle displacement and decorrelation in the diffraction and image fields for small object deformation," Opt. Acta 28, 1359-1376 (1981).

I. Yamaguchi, "Theory and applications of speckle displacement and decorrelation," in Speckle Metrology, R.S.Sirohi, ed. (Marcel Dekker, 1993), pp. 1-39.

Yaroslavsky, L.

I. Yamaguchi, K. Kobayashi, and L. Yaroslavsky, "Measurement of surface roughness by speckle correlation," Opt. Eng. 43, 2753-2761 (2004).
[CrossRef]

Appl. Opt. (7)

J. Mod. Opt. (1)

P. Horváth, M. Hrabovský, and P. Smíd, "Full theory of speckle displacement and decorrelation in the image field by wave and geometrical description and its application in mechanics," J. Mod. Opt. 51, 725-742 (2004).
[CrossRef]

J. Phys. (1)

I. Yamaguchi, "Automatic measurement of in-plane translation by speckle correlation using a linear image sensor," J. Phys. E 19, 944-949 (1986).

Meas. Sci. Technol. (1)

L. D'Acquisto, L. Fratini, and A. M. Siddiolo, "A modified moiré technique for three-dimensional surface topography," Meas. Sci. Technol. 13, 613-622 (2002).
[CrossRef]

Opt. Acta (1)

I. Yamaguchi, "Speckle displacement and decorrelation in the diffraction and image fields for small object deformation," Opt. Acta 28, 1359-1376 (1981).

Opt. Appl. (1)

P. Horváth, M. Hrabovský, and P. Smíd, "Application of speckle decorrelation method for small translation measurements," Opt. Appl. 34, 203-218 (2004).

Opt. Commun. (3)

D. A. Gregory, "Speckle scatter, affine geometry and tilt topology," Opt. Commun. 20, 1-5 (1977).
[CrossRef]

H. Tiziani, "A study of the use of laser speckle to measure small tilts of optically rough surfaces accurately," Opt. Commun. 5, 271-274 (1972).
[CrossRef]

D. K. Sharma, R. S. Sirohi, and M. P. Kothiyal, "Multiaperture speckle shearing arrangements for stress analysis," Opt. Commun. 49, 313-317 (1984).
[CrossRef]

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