Abstract

We present a novel non-iterative method for generating phase-only Fresnel holograms. The intensity image of the source object scene is first down-sampled with uniform grid-cross lattices. A Fresnel hologram is then generated from the intensity and the depth information of the sampled object points. Subsequently, only the phase component of the hologram is preserved, resulting in a pure phase hologram that we call the sampled-phase-only hologram (SPOH). Experimental evaluation reveals that the numerical, as well as the optical reconstructed images of the proposed phase-only hologram derived with our method are of high visual quality. Moreover, the reconstructed optical image is brighter, and less affected by phase noise contamination on the hologram as compared with those generated with existing error-diffusion approaches.

© 2014 Optical Society of America

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References

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  1. M. Makowski, A. Siemion, I. Ducin, K. Kakarenko, M. Sypek, A. Siemion, J. Suszek, D. Wojnowski, Z. Jaroszewicz, and A. Kolodziejczyk, “Complex light modulation for lensless image projection,” Chin. Opt. Lett. 9, 120008 (2011).
    [Crossref]
  2. M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
    [Crossref]
  3. R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).
  4. C. K. Hsueh and A. A. Sawchuk, “Computer-generated double-phase holograms,” Appl. Opt. 17(24), 3874–3883 (1978).
    [Crossref] [PubMed]
  5. X. Li, Y. Wang, J. Liu, J. Jia, Y. Pan, and J. Xie, “Color holographic display using a phase-only spatial light modulator,” in Dig. Holo. and 3D Img., OSA Technical Digest, OSA, paper DTh2A.3 (2013).
  6. S. Reichelt, R. Häussler, G. Fütterer, N. Leister, H. Kato, N. Usukura, and Y. Kanbayashi, “Full-range, complex spatial light modulator for real-time holography,” Opt. Lett. 37(11), 1955–1957 (2012).
    [Crossref] [PubMed]
  7. H. Song, G. Sung, S. Choi, K. Won, H. S. Lee, and H. Kim, “Optimal synthesis of double-phase computer generated holograms using a phase-only spatial light modulator with grating filter,” Opt. Express 20(28), 29844–29853 (2012).
    [Crossref] [PubMed]
  8. J.-P. Liu, W. Y. Hsieh, T.-C. Poon, and P. W. M. Tsang, “Complex Fresnel hologram display using a single SLM,” Appl. Opt. 50(34), H128–H135 (2011).
    [Crossref] [PubMed]
  9. E. Buckley, “Holographic laser projection technology,” Proc. SID Symp., 1074–1078 (2008).
  10. A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
    [Crossref]
  11. E. Buckley, “Real-time error diffusion for signal-to-noise ratio improvement in a holographic projection system,” J. Disp. Technol. 7(2), 70–76 (2011).
    [Crossref]
  12. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).
  13. J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).
  14. P. W. Tsang and T.-C. Poon, “Novel method for converting digital Fresnel hologram to phase-only hologram based on bidirectional error diffusion,” Opt. Express 21(20), 23680–23686 (2013).
    [Crossref] [PubMed]
  15. R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).
  16. T.-C. Poon and J.-P. Liu, Introduction to Modern Digital Holography with MATLAB (Cambridge University Press, New York, 2014).
  17. G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

2013 (1)

2012 (2)

2011 (4)

E. Buckley, “Real-time error diffusion for signal-to-noise ratio improvement in a holographic projection system,” J. Disp. Technol. 7(2), 70–76 (2011).
[Crossref]

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

J.-P. Liu, W. Y. Hsieh, T.-C. Poon, and P. W. M. Tsang, “Complex Fresnel hologram display using a single SLM,” Appl. Opt. 50(34), H128–H135 (2011).
[Crossref] [PubMed]

M. Makowski, A. Siemion, I. Ducin, K. Kakarenko, M. Sypek, A. Siemion, J. Suszek, D. Wojnowski, Z. Jaroszewicz, and A. Kolodziejczyk, “Complex light modulation for lensless image projection,” Chin. Opt. Lett. 9, 120008 (2011).
[Crossref]

2007 (1)

M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
[Crossref]

2003 (1)

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

1978 (1)

1976 (1)

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).

1970 (1)

G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

Buckley, E.

E. Buckley, “Real-time error diffusion for signal-to-noise ratio improvement in a holographic projection system,” J. Disp. Technol. 7(2), 70–76 (2011).
[Crossref]

E. Buckley, “Holographic laser projection technology,” Proc. SID Symp., 1074–1078 (2008).

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Cable, A. J.

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Carnicer, A.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Chen, M.-L.

M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
[Crossref]

Cheng, C.-J.

M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
[Crossref]

Choi, S.

Crossland, W. A.

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Ducin, I.

Floyd, R. W.

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Fütterer, G.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).

Häussler, R.

Hong, J.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Hong, K.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Hsieh, M.-L.

M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
[Crossref]

Hsieh, W. Y.

Hsueh, C. K.

Jaroszewicz, Z.

Jung, J.-H.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Juvells, I.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Kakarenko, K.

Kanbayashi, Y.

Kato, H.

Kim, H.

Kolodziejczyk, A.

Labastida, I.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Landry, J.

G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

Lawrence, N. A.

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Lee, B.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Lee, H. S.

Leister, N.

Liu, J.-P.

Makowski, M.

Marsh, P.

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Martín-Badosa, E.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Park, J.-H.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Poon, T.-C.

Powers, J.

G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

Reichelt, S.

Sawchuk, A. A.

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).

Siemion, A.

Song, H.

Steinberg, L.

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Sung, G.

Suszek, J.

Sypek, M.

Tsang, P. W.

Tsang, P. W. M.

Tudela, R.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Usukura, N.

Vallmitjana, S.

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Wade, G.

G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

Wilkinson, T. D.

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

Wojnowski, D.

Won, K.

Yeom, J.

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

Acta Acustica United With Acustica (1)

G. Wade, J. Powers, and J. Landry, “Image Distortion in Reconstructions form Phase-only Holograms,” Acta Acustica United With Acustica 23, 10–16 (1970).

Appl. Opt. (2)

Chin. Opt. Lett. (2)

M. Makowski, A. Siemion, I. Ducin, K. Kakarenko, M. Sypek, A. Siemion, J. Suszek, D. Wojnowski, Z. Jaroszewicz, and A. Kolodziejczyk, “Complex light modulation for lensless image projection,” Chin. Opt. Lett. 9, 120008 (2011).
[Crossref]

J. Yeom, J. Hong, J.-H. Jung, K. Hong, J.-H. Park, and B. Lee, “Phase-only hologram generation based on integral imaging and its enhancement in depth resolution,” Chin. Opt. Lett. 9(12), 12009 (2011).

J. Disp. Technol. (1)

E. Buckley, “Real-time error diffusion for signal-to-noise ratio improvement in a holographic projection system,” J. Disp. Technol. 7(2), 70–76 (2011).
[Crossref]

J. Opt. (1)

R. Tudela, E. Martín-Badosa, I. Labastida, S. Vallmitjana, I. Juvells, and A. Carnicer, “Full complex Fresnel holograms displayed on liquid crystal devices,” J. Opt. A5, S189–S194 (2003).

Opt. Eng. (1)

M.-L. Hsieh, M.-L. Chen, and C.-J. Cheng, “Improvement of the complex modulated characteristic of cascaded liquid crystal spatial light modulators by using a novel amplitude compensated technique,” Opt. Eng. 46(7), 070501 (2007).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Optik (Stuttg.) (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).

Proc Soc. Info. Disp. (1)

R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc Soc. Info. Disp. 17, 75–77 (1976).

Other (4)

T.-C. Poon and J.-P. Liu, Introduction to Modern Digital Holography with MATLAB (Cambridge University Press, New York, 2014).

E. Buckley, “Holographic laser projection technology,” Proc. SID Symp., 1074–1078 (2008).

A. J. Cable, E. Buckley, P. Marsh, N. A. Lawrence, T. D. Wilkinson, and W. A. Crossland, “Real-time binary hologram generation for high-quality video projection applications,” SID International Symposium Digest of Technical Papers, 35,1431–1433 (2004).
[Crossref]

X. Li, Y. Wang, J. Liu, J. Jia, Y. Pan, and J. Xie, “Color holographic display using a phase-only spatial light modulator,” in Dig. Holo. and 3D Img., OSA Technical Digest, OSA, paper DTh2A.3 (2013).

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Figures (7)

Fig. 1
Fig. 1 Spatial relation between the object and the hologram.
Fig. 2
Fig. 2 (a) A planar source image located at an axial distance of 0.5m from the hologram, (b) Phase component of the hologram generated from the source image in Fig. 2(a), (c) Numerical reconstructed image from the phase component of the phase hologram in Fig. 2(b).
Fig. 3
Fig. 3 A small section of the downsampling lattice represented by Eq. (3), with the dark pixels denoting the sampled points.
Fig. 4
Fig. 4 (a)-(c) Numerical reconstructed images of the SPOHs corresponding to the source image “CTU” with M = 10,12, and 14, respectively
Fig. 5
Fig. 5 (a)-(d) Optical reconstructed images of the SPOH, magnitude discarded hologram, BERD hologram, and the UERD hologram of the source image “CTU”, respectively
Fig. 6
Fig. 6 (a) Test image “Lena’s eye”, (b) Numerical reconstructed images of the SPOH of the “Lena’s eye” image
Fig. 7
Fig. 7 (a)-(d) Optical reconstructed images of the SPOH, magnitude discarded hologram, BERD hologram, and the UERD hologram of the source image “Lena’s eye”, respectively

Tables (1)

Tables Icon

Table 1 Maximum intensities of reconstructed images of the SPOH, magnitude discard, BERD, and the UERD holograms

Equations (7)

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H ( u , v ) = x = 0 X 1 y = 0 Y 1 I ( x , y ) { i 2 π λ ( x u ) 2 δ 2 + ( y v ) 2 δ 2 + d ( x , y ) 2 } ,
I r e c ( x , y ) = e i arg [ H ( x , y ) ] h * ( x , y ; z 0 ) ,
I d ( x , y ) = I 0 ( x , y ) I 1 ( x , y ) I 2 ( x , y ) I 3 ( x , y ) ,
I 0 ( x , y ) = I ( x , y ) i f y % M = 0 , 0 o t h e r w i s e ,
I 1 ( x , y ) = I ( x , y ) i f x % M = 0 , 0 o t h e r w i s e ,
I 2 ( x , y ) = I ( x , y ) i f ( x % M ) = ( y % M ) , 0 o t h e r w i s e ,
I 3 ( x , y ) = I ( x , y ) i f ( x % M ) = M 1 ( y % M ) , 0 o t h e r w i s e .

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