Abstract

We propose an image reconstruction algorithm for recovering high-frequency information in parallel phase-shifting digital holography. The proposed algorithm applies three kinds of interpolations and generates three different kinds of object waves. A Fourier transform is applied to each object wave, and the spatial-frequency domain is divided into 3×3 segments for each Fourier-transformed object wave. After that the segment in which interpolation error is the least among the segments having the same address of the segment in the spatial-frequency domain is extracted. The extracted segments are combined to generate an information-enhanced spatial-frequency spectrum of the object wave, and after that the formed spatial-frequency spectrum is inversely Fourier transformed. Then the high-frequency information of the reconstructed image is recovered. The effectiveness of the proposed algorithm was verified by a numerical simulation and an experiment.

© 2012 Optical Society of America

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    [CrossRef]
  32. T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
    [CrossRef]
  33. T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010).
    [CrossRef]
  34. T. Kakue, Y. Moritani, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Image quality improvement of parallel four-step phase-shifting digital holography by using the algorithm of parallel two-step phase-shifting digital holography,” Opt. Express 18, 9555–9560 (2010).
    [CrossRef]
  35. T. Tahara, K. Ito, T. Kakue, M. Fujii, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting digital holographic microscopy,” Biomed. Opt. Express 1, 610–616 (2010).
    [CrossRef]

2011 (1)

2010 (4)

2009 (4)

2008 (2)

2007 (3)

2006 (3)

2005 (2)

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45, 451–456 (2005).
[CrossRef]

B. Rappaz, P. Marquet, E. Cuche, Y. Emery, C. Depeursinge, and P. Magistretti, “Measurement of the integral refractive index and dynamic cell morphometry of living cells with digital holographic microscopy,” Opt. Express 13, 9361–9373 (2005).
[CrossRef]

2004 (3)

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85, 1069–1071 (2004).
[CrossRef]

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

2003 (2)

2001 (1)

2000 (1)

1998 (1)

1997 (1)

1995 (1)

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

1967 (1)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Andrés, P.

Araiza-E, M.

Awatsuji, Y.

P. Xia, Y. Shimozato, Y. Ito, T. Tahara, T. Kakue, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Improvement of color reproduction in color digital holography by using spectral estimation technique,” Appl. Opt. 50, H177–H182 (2011).
[CrossRef]

T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010).
[CrossRef]

T. Kakue, Y. Moritani, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Image quality improvement of parallel four-step phase-shifting digital holography by using the algorithm of parallel two-step phase-shifting digital holography,” Opt. Express 18, 9555–9560 (2010).
[CrossRef]

T. Tahara, K. Ito, T. Kakue, M. Fujii, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting digital holographic microscopy,” Biomed. Opt. Express 1, 610–616 (2010).
[CrossRef]

T. Kakue, T. Tahara, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting color digital holography using two phase shifts,” Appl. Opt. 48, H244–H250 (2009).
[CrossRef]

Y. Awatsuji, T. Tahara, A. Kaneko, T. Koyama, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel two-step phase-shifting digital holography,” Appl. Opt. 47, D183–D189(2008).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85, 1069–1071 (2004).
[CrossRef]

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 357–358.

M. Sasada, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography that can achieve instantaneous measurement,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 187–188.

Benkouider, A. M.

Bonitz, J.

Brock, N.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Charrière, F.

Climent, V.

Coëtmellec, S.

Colomb, T.

Coppola, G.

Cuche, E.

De Nicola, S.

Depeursinge, C.

Doh, K.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Emery, Y.

Falldorf, C.

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Ferraro, P.

Finizio, A.

Fujii, A.

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 357–358.

Fujii, M.

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Griebner, U.

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Grunwald, R.

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Hansel, T.

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Harada, D.

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography for three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48, 09LB01 (2009).
[CrossRef]

Hayashida, S.

S. Murata, S. Hayashida, and Y. Tanaka, “Simultaneous measurement of particle depth and size using digital holography,” in Proceedings of the 9th International Symposium on Flow Visualization (CD) (OptImage, 2000), 371.1-6.

Hayes, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Ito, K.

Ito, Y.

Javidi, B.

Jueptner, W.

U. Schnars and W. Jueptner, Digital Holography (Springer, 2005).

Jüptner, W.

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Kakue, T.

Kaneko, A.

Kaufmann, C.

Kebbel, V.

Kiire, T.

T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
[CrossRef]

Kikuta, H.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45, 451–456 (2005).
[CrossRef]

Kim, M. K.

Kopylow, C. V.

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Koyama, T.

Kubota, T.

P. Xia, Y. Shimozato, Y. Ito, T. Tahara, T. Kakue, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Improvement of color reproduction in color digital holography by using spectral estimation technique,” Appl. Opt. 50, H177–H182 (2011).
[CrossRef]

T. Tahara, K. Ito, T. Kakue, M. Fujii, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting digital holographic microscopy,” Biomed. Opt. Express 1, 610–616 (2010).
[CrossRef]

T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010).
[CrossRef]

T. Kakue, Y. Moritani, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Image quality improvement of parallel four-step phase-shifting digital holography by using the algorithm of parallel two-step phase-shifting digital holography,” Opt. Express 18, 9555–9560 (2010).
[CrossRef]

T. Kakue, T. Tahara, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting color digital holography using two phase shifts,” Appl. Opt. 48, H244–H250 (2009).
[CrossRef]

Y. Awatsuji, T. Tahara, A. Kaneko, T. Koyama, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel two-step phase-shifting digital holography,” Appl. Opt. 47, D183–D189(2008).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85, 1069–1071 (2004).
[CrossRef]

M. Sasada, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography that can achieve instantaneous measurement,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 187–188.

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 357–358.

Kühn, J.

Lancis, J.

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Lebrun, D.

León, L. M.

Magistretti, P.

Malek, M.

Marquet, P.

Matoba, O.

P. Xia, Y. Shimozato, Y. Ito, T. Tahara, T. Kakue, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Improvement of color reproduction in color digital holography by using spectral estimation technique,” Appl. Opt. 50, H177–H182 (2011).
[CrossRef]

T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010).
[CrossRef]

T. Tahara, K. Ito, T. Kakue, M. Fujii, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting digital holographic microscopy,” Biomed. Opt. Express 1, 610–616 (2010).
[CrossRef]

T. Kakue, Y. Moritani, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Image quality improvement of parallel four-step phase-shifting digital holography by using the algorithm of parallel two-step phase-shifting digital holography,” Opt. Express 18, 9555–9560 (2010).
[CrossRef]

T. Kakue, T. Tahara, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel phase-shifting color digital holography using two phase shifts,” Appl. Opt. 48, H244–H250 (2009).
[CrossRef]

Y. Awatsuji, T. Tahara, A. Kaneko, T. Koyama, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Parallel two-step phase-shifting digital holography,” Appl. Opt. 47, D183–D189(2008).
[CrossRef]

E. Tajahuerce, O. Matoba, and B. Javidi, “Shift invariant three-dimensional object recognition by means of digital holography,” Appl. Opt. 40, 3877–3886 (2001).
[CrossRef]

Millerd, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Mills, G.

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
[CrossRef]

Montfort, F.

Morihara, T.

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2006).
[CrossRef]

Moritani, Y.

Moriwaki, K.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45, 451–456 (2005).
[CrossRef]

Müller, J.

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Murata, S.

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography for three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48, 09LB01 (2009).
[CrossRef]

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2006).
[CrossRef]

T. Nomura, S. Murata, E. Nitanai, and T. Numata, “Phase-shifting digital holography with a phase difference between orthogonal polarizations,” Appl. Opt. 45, 4873–4877 (2006).
[CrossRef]

S. Murata, S. Hayashida, and Y. Tanaka, “Simultaneous measurement of particle depth and size using digital holography,” in Proceedings of the 9th International Symposium on Flow Visualization (CD) (OptImage, 2000), 371.1-6.

Nakadate, S.

T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
[CrossRef]

Nishio, K.

Nitanai, E.

Nomura, T.

North-Morris, M.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Novak, M.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Numata, T.

Parshall, D.

Pierattini, G.

Poon, T.-C.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
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Rappaz, B.

Sasada, M.

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85, 1069–1071 (2004).
[CrossRef]

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 357–358.

M. Sasada, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography that can achieve instantaneous measurement,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 187–188.

Schilling, B.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Schnars, U.

U. Schnars and W. Jueptner, Digital Holography (Springer, 2005).

Shibuya, M.

T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
[CrossRef]

Shimozato, Y.

Shinoda, K.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Steinmeyer, G.

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Stern, A.

Suzuki, Y.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Tahara, T.

Tajahuerce, E.

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S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography for three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48, 09LB01 (2009).
[CrossRef]

S. Murata, S. Hayashida, and Y. Tanaka, “Simultaneous measurement of particle depth and size using digital holography,” in Proceedings of the 9th International Symposium on Flow Visualization (CD) (OptImage, 2000), 371.1-6.

Ura, S.

Valera, J.

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
[CrossRef]

Wu, M.

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Wyant, J.

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Xia, P.

Yamaguchi, I.

Yamaguchi, T.

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2006).
[CrossRef]

Yatagai, T.

T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
[CrossRef]

Yokota, M.

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
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Yoneyama, S.

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45, 451–456 (2005).
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Zhang, F.

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
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Zhang, T.

Appl. Opt. (6)

Appl. Phys. B (1)

T. Hansel, J. Müller, C. Falldorf, C. V. Kopylow, W. Jüptner, R. Grunwald, G. Steinmeyer, and U. Griebner, “Ultrashort-pulse dual-wavelength source for digital holographic two-wavelength contouring,” Appl. Phys. B 89, 513–516 (2007).
[CrossRef]

Appl. Phys. Lett. (2)

Y. Awatsuji, M. Sasada, and T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85, 1069–1071 (2004).
[CrossRef]

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Biomed. Opt. Express (1)

Exp. Mech. (1)

S. Yoneyama, H. Kikuta, and K. Moriwaki, “Instantaneous phase-stepping interferometry using polarization imaging with a micro-retarder array,” Exp. Mech. 45, 451–456 (2005).
[CrossRef]

J. Opt. Soc. Am. A (2)

Jpn. J. Appl. Phys. (1)

S. Murata, D. Harada, and Y. Tanaka, “Spatial phase-shifting digital holography for three-dimensional particle tracking velocimetry,” Jpn. J. Appl. Phys. 48, 09LB01 (2009).
[CrossRef]

JSME Int. J. (1)

T. Yamaguchi, S. Murata, and T. Morihara, “Three-dimensional flow measurement by digital holographic particle image velocimetry with spatio-temporal derivative method,” JSME Int. J. 49, 1133–1140 (2006).
[CrossRef]

Opt. Eng. (1)

T.-C. Poon, K. Doh, B. Schilling, M. Wu, K. Shinoda, and Y. Suzuki, “Three-dimensional microscopy by optical scanning holography,” Opt. Eng. 34, 1338–1344 (1995).
[CrossRef]

Opt. Express (7)

J. Kühn, T. Colomb, F. Montfort, F. Charrière, Y. Emery, E. Cuche, P. Marquet, and C. Depeursinge, “Real-time dual wavelength digital holographic microscopy with a single hologram acquisition,” Opt. Express 15, 7231–7242 (2007).
[CrossRef]

B. Rappaz, P. Marquet, E. Cuche, Y. Emery, C. Depeursinge, and P. Magistretti, “Measurement of the integral refractive index and dynamic cell morphometry of living cells with digital holographic microscopy,” Opt. Express 13, 9361–9373 (2005).
[CrossRef]

D. Lebrun, A. M. Benkouider, S. Coëtmellec, and M. Malek, “Particle field digital holographic reconstruction in arbitrary tilted planes,” Opt. Express 11, 224–229 (2003).
[CrossRef]

L. M. León, M. Araiza-E, B. Javidi, P. Andrés, V. Climent, J. Lancis, and E. Tajahuerce, “Single-shot digital holography by use of the fractional Talbot effect,” Opt. Express 17, 12900–12909 (2009).
[CrossRef]

T. Hansel, G. Steinmeyer, R. Grunwald, C. Falldorf, J. Bonitz, C. Kaufmann, V. Kebbel, and U. Griebner, “Synthesized femtosecond laser pulse source for two-wavelength contouring with simultaneously recorded digital holograms,” Opt. Express 17, 2686–2695 (2009).
[CrossRef]

T. Tahara, K. Ito, M. Fujii, T. Kakue, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Experimental demonstration of parallel two-step phase-shifting digital holography,” Opt. Express 18, 18975–18980 (2010).
[CrossRef]

T. Kakue, Y. Moritani, K. Ito, Y. Shimozato, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, “Image quality improvement of parallel four-step phase-shifting digital holography by using the algorithm of parallel two-step phase-shifting digital holography,” Opt. Express 18, 9555–9560 (2010).
[CrossRef]

Opt. Lett. (4)

Opt. Rev. (2)

F. Zhang, J. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11, 297–299 (2004).
[CrossRef]

T. Kiire, T. Yatagai, S. Nakadate, and M. Shibuya, “Quadrature phase-shifting interferometer with a polarization imaging camera,” Opt. Rev. 17, 210–213 (2010).
[CrossRef]

Proc. SPIE (1)

J. Millerd, N. Brock, J. Hayes, M. North-Morris, M. Novak, and J. Wyant, “Pixelated phase-mask dynamic interferometer,” Proc. SPIE 5531, 304–314 (2004).
[CrossRef]

Other (5)

M. Sasada, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography that can achieve instantaneous measurement,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 187–188.

M. Sasada, A. Fujii, Y. Awatsuji, and T. Kubota, “Parallel quasi-phase-shifting digital holography implemented by simple optical set up and effective use of image-sensor pixels,” in Technical Digest of the 2004 ICO International Conference: Optics and Photonics in Technology Frontier (International Commission for Optics, 2004), pp. 357–358.

S. Murata, S. Hayashida, and Y. Tanaka, “Simultaneous measurement of particle depth and size using digital holography,” in Proceedings of the 9th International Symposium on Flow Visualization (CD) (OptImage, 2000), 371.1-6.

U. Schnars and W. Jueptner, Digital Holography (Springer, 2005).

T.-C. Poon, ed., Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, 2006).

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Figures (6)

Fig. 1.
Fig. 1.

Principle of parallel phase-shifting digital holography.

Fig. 2.
Fig. 2.

Flow of the conventional image reconstruction algorithm.

Fig. 3.
Fig. 3.

Flow of the proposed algorithm.

Fig. 4.
Fig. 4.

Object assumed in estimating the interpolation error and the results: (a) interference fringes in 45° direction with different widths, (b) NRMSEs of the interpolated images by the +45° direction interpolation method and the previous interpolation method, (c) NRMSEs in the high-spatial-frequency segment.

Fig. 5.
Fig. 5.

Object assumed in simulation and its spatial-frequency spectra: (a) object image, (b)–(d) are the spatial-frequency spectra of the object, the reconstructed image by the conventional algorithm, and the reconstructed image by the proposed algorithm, respectively, (e)–(g) are the magnified images corresponding with those indicated by the rectangles of the upper left side in (b)–(d), respectively.

Fig. 6.
Fig. 6.

Photo and reconstructed images of objects: (a) photo of objects, (b) reconstructed image by the conventional algorithm, (c) reconstructed image by the proposed algorithm, (d) and (e) are magnified images of a nut corresponding with those indicated by the rectangles in (b) and (c), respectively. (f) and (g) are the magnified images of a trumpet corresponding with those indicated by the rectangles in (b) and (c), respectively.

Tables (1)

Tables Icon

Table 1. NRMSE of the Spatial-Frequency Spectra

Metrics