Abstract

Fringe patterns are raw output data from many measurement systems including laser interferometers and moiré systems. For instruments with a range of zoom levels to measure the object at different scales, a technique (algorithm) is needed to combine and/or compare data to obtain information at different levels of details. A technique to keep the continuity of output images both at different levels of zoom and within the same level of zoom is developed and demonstrated. Image registration is used to correlate images, find relative zoom values, and obtain shift between images in the lateral plane. Fringe patterns from a moiré system and a laser interferometer are used as images to be stitched and demonstrate the technique. Interferomteric fringes are used to find the required parameters to inter-relate locations and scale of the fringe patterns at different levels of zoom. The calculated parameters are scale and translation in both directions; these parameters make it possible to locate the coordinates of the region that the measurement system is zoomed in on, related to the area with lower magnification and relative locations of images within the same level of zoom. Results show that this technique is capable of finding the scale and shift parameters within the resolution of one pixel and therefore can restore continuity between images at different levels of zoom.

© 2011 OSA

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    [CrossRef]
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2011

G. N. de Oliveira, M. E. de Oliveira, and P. A. M. dos Santos, “Dynamic moiré patterns for profilometry applications,” J. Phys.: Conf. Ser. 274, 012036 (2011).
[CrossRef]

2010

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

2009

2008

2007

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45(2), 304–317 (2007).
[CrossRef]

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

2006

S. Periaswamy and H. Farid, “Medical image registration with partial data,” Med. Image Anal. 10(3), 452–464 (2006).
[CrossRef] [PubMed]

2004

2003

B. Zitová and J. Flusser, “Image registration methods: a survey,” Image Vis. Comput. 21(11), 977–1000 (2003).
[CrossRef]

2001

L. H. Jin, Y. Otani, and T. Yoshizawa, “Shadow moiré profilometry by frequency sweeping,” Opt. Eng. 40(7), 1383 (2001).
[CrossRef]

1998

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

1997

1994

C. A. Walker, “A historical review of moiré interferometry,” Exp. Mech. 34(4), 281–299 (1994).
[CrossRef]

1989

M. Tanaka, T. Yamagami, and K. Nakayama, “Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels,” IEEE Trans. Instrum. Meas. 38(2), 552–554 (1989).
[CrossRef]

1987

G. E. Sommargren, “A new laser measurement system for precision metrology,” Precis. Eng. 9(4), 179–184 (1987).
[CrossRef]

1983

1982

1979

C. A. Sciammarella, “The Moiré Method—A Review,” Exp. Mech. 19, 418–422 (1979).

R. J. Sanford and J. W. Dally, “A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns,” Eng. Fract. Mech. 11(4), 621–633 (1979).
[CrossRef]

1972

L. M. Barker and R. E. Hollenbach, “Laser interferometer for measuring high velocities of any reflecting surface,” J. Appl. Phys. 43(11), 4669–4675 (1972).
[CrossRef]

1968

A. E. Ennos, “Measurement of in-plane surface strain by hologram interferometry,” J. Phys. E Sci. Instrum. 1(7), 731–734 (1968).
[CrossRef]

Abolbashari, M.

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

Barker, L. M.

L. M. Barker and R. E. Hollenbach, “Laser interferometer for measuring high velocities of any reflecting surface,” J. Appl. Phys. 43(11), 4669–4675 (1972).
[CrossRef]

Boning, D. S.

Buytaert, J. A. N.

Chiang, F. P.

F. P. Chiang, “Moiré methods of strain analysis,” Exp. Mech. 22, 290–308 (1982).

Dally, J. W.

R. J. Sanford and J. W. Dally, “A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns,” Eng. Fract. Mech. 11(4), 621–633 (1979).
[CrossRef]

Davies, A.

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

de Oliveira, G. N.

G. N. de Oliveira, M. E. de Oliveira, and P. A. M. dos Santos, “Dynamic moiré patterns for profilometry applications,” J. Phys.: Conf. Ser. 274, 012036 (2011).
[CrossRef]

de Oliveira, M. E.

G. N. de Oliveira, M. E. de Oliveira, and P. A. M. dos Santos, “Dynamic moiré patterns for profilometry applications,” J. Phys.: Conf. Ser. 274, 012036 (2011).
[CrossRef]

Desmedt, P.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Dirckx, J. J. J.

dos Santos, P. A. M.

G. N. de Oliveira, M. E. de Oliveira, and P. A. M. dos Santos, “Dynamic moiré patterns for profilometry applications,” J. Phys.: Conf. Ser. 274, 012036 (2011).
[CrossRef]

Ennos, A. E.

A. E. Ennos, “Measurement of in-plane surface strain by hologram interferometry,” J. Phys. E Sci. Instrum. 1(7), 731–734 (1968).
[CrossRef]

Farahi, F.

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

Farid, H.

S. Periaswamy and H. Farid, “Medical image registration with partial data,” Med. Image Anal. 10(3), 452–464 (2006).
[CrossRef] [PubMed]

Flusser, J.

B. Zitová and J. Flusser, “Image registration methods: a survey,” Image Vis. Comput. 21(11), 977–1000 (2003).
[CrossRef]

Fofi, D.

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

Forest, J.

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

Gerges, A. S.

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

Hawkes, D. J.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Hill, D. L. G.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Hollenbach, R. E.

L. M. Barker and R. E. Hollenbach, “Laser interferometer for measuring high velocities of any reflecting surface,” J. Appl. Phys. 43(11), 4669–4675 (1972).
[CrossRef]

Ina, H.

Jin, L. H.

L. H. Jin, Y. Otani, and T. Yoshizawa, “Shadow moiré profilometry by frequency sweeping,” Opt. Eng. 40(7), 1383 (2001).
[CrossRef]

Kemao, Q.

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45(2), 304–317 (2007).
[CrossRef]

Kobayashi, S.

Little, J. A.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Macy, W. W.

Matabosch, C.

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

Nakayama, K.

M. Tanaka, T. Yamagami, and K. Nakayama, “Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels,” IEEE Trans. Instrum. Meas. 38(2), 552–554 (1989).
[CrossRef]

Otani, Y.

L. H. Jin, Y. Otani, and T. Yoshizawa, “Shadow moiré profilometry by frequency sweeping,” Opt. Eng. 40(7), 1383 (2001).
[CrossRef]

Penney, G. P.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Periaswamy, S.

S. Periaswamy and H. Farid, “Medical image registration with partial data,” Med. Image Anal. 10(3), 452–464 (2006).
[CrossRef] [PubMed]

Salvi, J.

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

Sanford, R. J.

R. J. Sanford and J. W. Dally, “A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns,” Eng. Fract. Mech. 11(4), 621–633 (1979).
[CrossRef]

Sciammarella, C. A.

C. A. Sciammarella, “The Moiré Method—A Review,” Exp. Mech. 19, 418–422 (1979).

Sommargren, G. E.

G. E. Sommargren, “A new laser measurement system for precision metrology,” Precis. Eng. 9(4), 179–184 (1987).
[CrossRef]

Takeda, M.

Tanaka, M.

M. Tanaka, T. Yamagami, and K. Nakayama, “Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels,” IEEE Trans. Instrum. Meas. 38(2), 552–554 (1989).
[CrossRef]

Taylor, H. K.

Walker, C. A.

C. A. Walker, “A historical review of moiré interferometry,” Exp. Mech. 34(4), 281–299 (1994).
[CrossRef]

Weese, J.

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Wu, C. M.

Xu, Z.

Yamagami, T.

M. Tanaka, T. Yamagami, and K. Nakayama, “Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels,” IEEE Trans. Instrum. Meas. 38(2), 552–554 (1989).
[CrossRef]

Yamaguchi, I.

Yoon, S. F.

Yoshizawa, T.

L. H. Jin, Y. Otani, and T. Yoshizawa, “Shadow moiré profilometry by frequency sweeping,” Opt. Eng. 40(7), 1383 (2001).
[CrossRef]

Youcef-Toumi, K.

Zhang, T.

Zitová, B.

B. Zitová and J. Flusser, “Image registration methods: a survey,” Image Vis. Comput. 21(11), 977–1000 (2003).
[CrossRef]

Appl. Opt.

Eng. Fract. Mech.

R. J. Sanford and J. W. Dally, “A general method for determining mixed-mode stress intensity factors from isochromatic fringe patterns,” Eng. Fract. Mech. 11(4), 621–633 (1979).
[CrossRef]

Exp. Mech.

C. A. Sciammarella, “The Moiré Method—A Review,” Exp. Mech. 19, 418–422 (1979).

C. A. Walker, “A historical review of moiré interferometry,” Exp. Mech. 34(4), 281–299 (1994).
[CrossRef]

F. P. Chiang, “Moiré methods of strain analysis,” Exp. Mech. 22, 290–308 (1982).

IEEE Trans. Instrum. Meas.

M. Tanaka, T. Yamagami, and K. Nakayama, “Linear interpolation of periodic error in a heterodyne laser interferometer at subnanometer levels,” IEEE Trans. Instrum. Meas. 38(2), 552–554 (1989).
[CrossRef]

IEEE Trans. Med. Imaging

G. P. Penney, J. Weese, J. A. Little, P. Desmedt, D. L. G. Hill, and D. J. Hawkes, “A comparison of similarity measures for use in 2-D-3-D medical image registration,” IEEE Trans. Med. Imaging 17(4), 586–595 (1998).
[CrossRef] [PubMed]

Image Vis. Comput.

J. Salvi, C. Matabosch, D. Fofi, and J. Forest, “A review of recent range image registration methods with accuracy evaluation,” Image Vis. Comput. 25(5), 578–596 (2007).
[CrossRef]

B. Zitová and J. Flusser, “Image registration methods: a survey,” Image Vis. Comput. 21(11), 977–1000 (2003).
[CrossRef]

J. Appl. Phys.

L. M. Barker and R. E. Hollenbach, “Laser interferometer for measuring high velocities of any reflecting surface,” J. Appl. Phys. 43(11), 4669–4675 (1972).
[CrossRef]

J. Opt. Soc. Am.

J. Phys. E Sci. Instrum.

A. E. Ennos, “Measurement of in-plane surface strain by hologram interferometry,” J. Phys. E Sci. Instrum. 1(7), 731–734 (1968).
[CrossRef]

J. Phys.: Conf. Ser.

G. N. de Oliveira, M. E. de Oliveira, and P. A. M. dos Santos, “Dynamic moiré patterns for profilometry applications,” J. Phys.: Conf. Ser. 274, 012036 (2011).
[CrossRef]

Med. Image Anal.

S. Periaswamy and H. Farid, “Medical image registration with partial data,” Med. Image Anal. 10(3), 452–464 (2006).
[CrossRef] [PubMed]

Opt. Eng.

L. H. Jin, Y. Otani, and T. Yoshizawa, “Shadow moiré profilometry by frequency sweeping,” Opt. Eng. 40(7), 1383 (2001).
[CrossRef]

Opt. Express

Opt. Lasers Eng.

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45(2), 304–317 (2007).
[CrossRef]

Opt. Lett.

Precis. Eng.

G. E. Sommargren, “A new laser measurement system for precision metrology,” Precis. Eng. 9(4), 179–184 (1987).
[CrossRef]

Proc. SPIE

M. Abolbashari, A. S. Gerges, A. Davies, and F. Farahi, “Image continuity at different levels of zoom for moiré techniques,” Proc. SPIE 7790, 77900S, 77900S-6 (2010).
[CrossRef]

Other

K. Creath, J. Schmit, and C. Wyant, “Optical Metrology of Diffuse Surfaces,” in Optical Shop Testing D. Malacara (John Wiley & Sons, Inc. Publications, 2007), pp. 756–807.

K. J. Gåsvik, Optical Metrology (John Wiley & Sons, Ltd, 2002).

J. Modersitzki, Numerical Methods for Image Registration (Oxford University Press, 2004).

A. A. Goshtasby, 2-D and 3-D Image Registration: for Medical, Remote Sensing, and Industrial Applications (John Wiley & Sons, Inc. Publications, 2005).

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