Abstract

We propose an indirect method for generating a complex hologram and phase-only hologram from an amplitude hologram using the Hilbert transform. The Hilbert transform generates an imaginary part of complex amplitude from only an amplitude hologram, resulting in the reduction of the total computational complexity of complex and phase-only holograms. More importantly, the proposed method can reduce the hardware resources of dedicated hologram processors.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. P. W. M. Tsang and T.-C. Poon, “Review on the state-of-the-art technologies for acquisition and display of digital holograms,” IEEE Trans. Ind. Inf. 12(3), 886–901 (2016).
    [Crossref]
  2. D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
    [Crossref]
  3. T. Shimobaba and T. Ito, Computer Holography: Acceleration Algorithms and Hardware Implementations (CRC press, 2019).
  4. F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
    [Crossref]
  5. T. Inoue and Y. Takaki, “Table screen 360-degree holographic display using circular viewing-zone scanning,” Opt. Express 23(5), 6533–6542 (2015).
    [Crossref]
  6. T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), (IEEE, 2015), pp. 732–741.
  7. M. Makowski, I. Ducin, K. Kakarenko, J. Suszek, M. Sypek, and A. Kolodziejczyk, “Simple holographic projection in color,” Opt. Express 20(22), 25130–25136 (2012).
    [Crossref]
  8. T. W. Clark, R. F. Offer, S. Franke-Arnold, A. S. Arnold, and N. Radwell, “Comparison of beam generation techniques using a phase only spatial light modulator,” Opt. Express 24(6), 6249–6264 (2016).
    [Crossref]
  9. B. J. Jackin, L. Jorissen, R. Oi, J. Y. Wu, K. Wakunami, M. Okui, Y. Ichihashi, P. Bekaert, Y. P. Huang, and K. Yamamoto, “Digitally designed holographic optical element for light field displays,” Opt. Lett. 43(15), 3738–3741 (2018).
    [Crossref]
  10. G. T. Nehmetallah, R. Aylo, and L. Williams, “Analog and digital holography with matlab,” (Society of Photo-Optical Instrumentation Engineers (SPIE), 2015).
  11. T. Ikeda, G. Popescu, R. R. Dasari, and M. S. Feld, “Hilbert phase microscopy for investigating fast dynamics in transparent systems,” Opt. Lett. 30(10), 1165–1167 (2005).
    [Crossref]
  12. Y. Watanabe and M. Sato, “Quasi-single shot axial-lateral parallel time domain optical coherence tomography with hilbert transformation,” Opt. Express 16(2), 524–534 (2008).
    [Crossref]
  13. J. V. Lorenzo-Ginori, “An approach to the 2d hilbert transform for image processing applications,” in International Conference Image Analysis and Recognition (Springer, 2007), pp. 157–165.
  14. T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
    [Crossref]
  15. T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
    [Crossref]
  16. T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
    [Crossref]

2019 (1)

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

2018 (3)

2016 (2)

P. W. M. Tsang and T.-C. Poon, “Review on the state-of-the-art technologies for acquisition and display of digital holograms,” IEEE Trans. Ind. Inf. 12(3), 886–901 (2016).
[Crossref]

T. W. Clark, R. F. Offer, S. Franke-Arnold, A. S. Arnold, and N. Radwell, “Comparison of beam generation techniques using a phase only spatial light modulator,” Opt. Express 24(6), 6249–6264 (2016).
[Crossref]

2015 (1)

2012 (2)

M. Makowski, I. Ducin, K. Kakarenko, J. Suszek, M. Sypek, and A. Kolodziejczyk, “Simple holographic projection in color,” Opt. Express 20(22), 25130–25136 (2012).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

2010 (1)

F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
[Crossref]

2008 (1)

2005 (1)

Ahar, A.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Akamatsu, T.

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Arnold, A. S.

Aylo, R.

G. T. Nehmetallah, R. Aylo, and L. Williams, “Analog and digital holography with matlab,” (Society of Photo-Optical Instrumentation Engineers (SPIE), 2015).

Bekaert, P.

Bettens, S.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Birnbaum, T.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Blinder, D.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Clark, T. W.

Dasari, R. R.

Ducin, I.

Endo, Y.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Feld, M. S.

Franke-Arnold, S.

Hirayama, R.

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Huang, Y. P.

Ichihashi, Y.

B. J. Jackin, L. Jorissen, R. Oi, J. Y. Wu, K. Wakunami, M. Okui, Y. Ichihashi, P. Bekaert, Y. P. Huang, and K. Yamamoto, “Digitally designed holographic optical element for light field displays,” Opt. Lett. 43(15), 3738–3741 (2018).
[Crossref]

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Ikeda, T.

Inoue, T.

Ito, T.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), (IEEE, 2015), pp. 732–741.

T. Shimobaba and T. Ito, Computer Holography: Acceleration Algorithms and Hardware Implementations (CRC press, 2019).

Jackin, B. J.

Jorissen, L.

Kakarenko, K.

Kakue, T.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), (IEEE, 2015), pp. 732–741.

Kang, H.

F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
[Crossref]

Kolodziejczyk, A.

Lorenzo-Ginori, J. V.

J. V. Lorenzo-Ginori, “An approach to the 2d hilbert transform for image processing applications,” in International Conference Image Analysis and Recognition (Springer, 2007), pp. 157–165.

Makowski, M.

Masuda, N.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Nakayama, H.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

Nehmetallah, G. T.

G. T. Nehmetallah, R. Aylo, and L. Williams, “Analog and digital holography with matlab,” (Society of Photo-Optical Instrumentation Engineers (SPIE), 2015).

Nishitsuji, T.

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Offer, R. F.

Oi, R.

Oikawa, M.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Okada, N.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Okui, M.

Onural, L.

F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
[Crossref]

Ottevaere, H.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Poon, T.-C.

P. W. M. Tsang and T.-C. Poon, “Review on the state-of-the-art technologies for acquisition and display of digital holograms,” IEEE Trans. Ind. Inf. 12(3), 886–901 (2016).
[Crossref]

Popescu, G.

Radwell, N.

Sakurai, T.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Sato, M.

Schelkens, P.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Schretter, C.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Shimobaba, T.

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), (IEEE, 2015), pp. 732–741.

T. Shimobaba and T. Ito, Computer Holography: Acceleration Algorithms and Hardware Implementations (CRC press, 2019).

Shiraki, A.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Sugie, T.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Nishitsuji, Y. Yamamoto, T. Sugie, T. Akamatsu, R. Hirayama, H. Nakayama, T. Kakue, T. Shimobaba, and T. Ito, “Special-purpose computer HORN-8 for phase-type electro-holography,” Opt. Express 26(20), 26722–26733 (2018).
[Crossref]

Suszek, J.

Symeonidou, A.

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Sypek, M.

Takada, N.

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Takaki, Y.

Tsang, P. W. M.

P. W. M. Tsang and T.-C. Poon, “Review on the state-of-the-art technologies for acquisition and display of digital holograms,” IEEE Trans. Ind. Inf. 12(3), 886–901 (2016).
[Crossref]

Wakunami, K.

Watanabe, Y.

Weng, J.

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

Williams, L.

G. T. Nehmetallah, R. Aylo, and L. Williams, “Analog and digital holography with matlab,” (Society of Photo-Optical Instrumentation Engineers (SPIE), 2015).

Wu, J. Y.

Yamamoto, K.

Yamamoto, Y.

Yaras, F.

F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
[Crossref]

Comput. Phys. Commun. (1)

T. Shimobaba, J. Weng, T. Sakurai, N. Okada, T. Nishitsuji, N. Takada, A. Shiraki, N. Masuda, and T. Ito, “Computational wave optics library for C++: CWO++ library,” Comput. Phys. Commun. 183(5), 1124–1138 (2012).
[Crossref]

IEEE Trans. Ind. Inf. (1)

P. W. M. Tsang and T.-C. Poon, “Review on the state-of-the-art technologies for acquisition and display of digital holograms,” IEEE Trans. Ind. Inf. 12(3), 886–901 (2016).
[Crossref]

J. Disp. Technol. (1)

F. Yaraş, H. Kang, and L. Onural, “State of the art in holographic displays: a survey,” J. Disp. Technol. 6(10), 443–454 (2010).
[Crossref]

Nat. Electron. (1)

T. Sugie, T. Akamatsu, T. Nishitsuji, R. Hirayama, N. Masuda, H. Nakayama, Y. Ichihashi, A. Shiraki, M. Oikawa, N. Takada, Y. Endo, T. Kakue, T. Shimobaba, and T. Ito, “High-performance parallel computing for next-generation holographic imaging,” Nat. Electron. 1(4), 254–259 (2018).
[Crossref]

Opt. Express (5)

Opt. Lett. (2)

Signal Process. Image Commun. (1)

D. Blinder, A. Ahar, S. Bettens, T. Birnbaum, A. Symeonidou, H. Ottevaere, C. Schretter, and P. Schelkens, “Signal processing challenges for digital holographic video display systems,” Signal Process. Image Commun. 70, 114–130 (2019).
[Crossref]

Other (4)

T. Shimobaba and T. Ito, Computer Holography: Acceleration Algorithms and Hardware Implementations (CRC press, 2019).

T. Shimobaba, T. Kakue, and T. Ito, “Real-time and low speckle holographic projection,” in 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), (IEEE, 2015), pp. 732–741.

G. T. Nehmetallah, R. Aylo, and L. Williams, “Analog and digital holography with matlab,” (Society of Photo-Optical Instrumentation Engineers (SPIE), 2015).

J. V. Lorenzo-Ginori, “An approach to the 2d hilbert transform for image processing applications,” in International Conference Image Analysis and Recognition (Springer, 2007), pp. 157–165.

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Figures (4)

Fig. 1.
Fig. 1. Hologram generation.
Fig. 2.
Fig. 2. Reconstructed images from the complex hologram, amplitude hologram, and the proposed method.
Fig. 3.
Fig. 3. Reconstructed images from the complex hologram, amplitude hologram, and the proposed method.
Fig. 4.
Fig. 4. Optical reconstructions.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

u c = j N a j exp ( i θ j ) ,
u p = tan 1 ( Im { u c } / Re { u c } ) ,
u a = j N a j cos ( θ j ) .
h ^ ( x ) = H [ h ( x ) ] = 1 π + h ( τ ) x τ d τ ,
h ^ ( x ) = FFT 1 [ FFT [ h ( x ) ] H ( f ) ] ,
H ( f ) = { 1 ( f = 0 ) 1 / 2 ( f < W ) 0 ( o t h e r w i s e )
u a ( x h , y h ) = j N a j cos ( ( x h x j ) 2 + ( y h y j ) 2 λ z j ) ,

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