Abstract

Full spatial resolution in stereo image is reached if each (left and right) view of a three-dimensional scene is reproduced by all pixels of the display matrix. It is attractive for this purpose to simultaneously reproduce two image resolvable elements (corresponding to image elements of left and right views) in one display pixel. This paper shows how information-dependent linearization of the optical intensity ratio of left and right image elements (whose sum is submitted in the form of common optical intensity on the input of the display pixel) can be used to present corresponding elements separately in left and right observation windows. Such a linearization principle is valid regardless of the concrete physical gear of optical separation and demonstrated on the examples of optical separators on the basis of polarization, spectral, diffractive, and real amplitude modulation of light.

© 2011 Optical Society of America

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References

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  1. Fast 120 Hz LC displays (produced by Syncing, Acer) are capable of reproducing two views sequentially without loss of spatial resolution. But such displays can be used only with active (shutter) glasses, and they also cannot be used without glasses (as autostereoscopic displays).
  2. V. Ezhov, “Three-dimensional imaging with simultaneous reproduction of two image elements in one display pixel by information-dependent polarization coding,” Appl. Opt. 49, 2797–2805 (2010).
    [CrossRef] [PubMed]
  3. V. Ezhov, “A stereoscopic method and a device for implementation thereof,” U. S. patent 7,929,066 (19 April 2010).
  4. V. Ezhov, “A method of forming and observation of stereo images with maximum spatial resolution and a device for implementation thereof (versions),” R. U. patent 2,408,163 (22 December 2010).
  5. M. Born and E. Wolf, “Optics of crystals,” in Principles of Optics (Cambridge University, 2002), pp. 818–828.
  6. H. Jorke and M. Fritz, “Stereo projection using interference filters,” Proc. SPIE 6055, 60550G (2006).
    [CrossRef]
  7. V. Ezhov, “World’s first full resolution (at each view) auto3D/2D planar display structure based on standard LCD technology,” in Proceedings of the 29th International Display Research Conference (Eurodisplay, 2009).

2010 (1)

2006 (1)

H. Jorke and M. Fritz, “Stereo projection using interference filters,” Proc. SPIE 6055, 60550G (2006).
[CrossRef]

Born, M.

M. Born and E. Wolf, “Optics of crystals,” in Principles of Optics (Cambridge University, 2002), pp. 818–828.

Ezhov, V.

V. Ezhov, “Three-dimensional imaging with simultaneous reproduction of two image elements in one display pixel by information-dependent polarization coding,” Appl. Opt. 49, 2797–2805 (2010).
[CrossRef] [PubMed]

V. Ezhov, “A stereoscopic method and a device for implementation thereof,” U. S. patent 7,929,066 (19 April 2010).

V. Ezhov, “World’s first full resolution (at each view) auto3D/2D planar display structure based on standard LCD technology,” in Proceedings of the 29th International Display Research Conference (Eurodisplay, 2009).

V. Ezhov, “A method of forming and observation of stereo images with maximum spatial resolution and a device for implementation thereof (versions),” R. U. patent 2,408,163 (22 December 2010).

Fritz, M.

H. Jorke and M. Fritz, “Stereo projection using interference filters,” Proc. SPIE 6055, 60550G (2006).
[CrossRef]

Jorke, H.

H. Jorke and M. Fritz, “Stereo projection using interference filters,” Proc. SPIE 6055, 60550G (2006).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, “Optics of crystals,” in Principles of Optics (Cambridge University, 2002), pp. 818–828.

Appl. Opt. (1)

Proc. SPIE (1)

H. Jorke and M. Fritz, “Stereo projection using interference filters,” Proc. SPIE 6055, 60550G (2006).
[CrossRef]

Other (5)

V. Ezhov, “World’s first full resolution (at each view) auto3D/2D planar display structure based on standard LCD technology,” in Proceedings of the 29th International Display Research Conference (Eurodisplay, 2009).

Fast 120 Hz LC displays (produced by Syncing, Acer) are capable of reproducing two views sequentially without loss of spatial resolution. But such displays can be used only with active (shutter) glasses, and they also cannot be used without glasses (as autostereoscopic displays).

V. Ezhov, “A stereoscopic method and a device for implementation thereof,” U. S. patent 7,929,066 (19 April 2010).

V. Ezhov, “A method of forming and observation of stereo images with maximum spatial resolution and a device for implementation thereof (versions),” R. U. patent 2,408,163 (22 December 2010).

M. Born and E. Wolf, “Optics of crystals,” in Principles of Optics (Cambridge University, 2002), pp. 818–828.

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Figures (7)

Fig. 1
Fig. 1

Inputs and outputs of the optical separator based on ideal display pixel.

Fig. 2
Fig. 2

Inputs and outputs of the optical separator based on real display pixel.

Fig. 3
Fig. 3

Nonlinearity of the pixel relative to the ratio of intensities on two complementary outputs.

Fig. 4
Fig. 4

Linearization steps: (a) initial nonlinearity, (b) compensation of nonlinearity by inverse function, (c) resulting linear dependence of ratio of output intensities in left-right observation windows on ratio of input brightness signals of left-right views.

Fig. 5
Fig. 5

Linearization in case of polarization modulation separator.

Fig. 6
Fig. 6

Linearization of separator based on spectral shift.

Fig. 7
Fig. 7

Principle of separator on controlled reflectance- transmittance.

Equations (8)

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J L m n = B L m n ; J R m n = B R m n ,
J 0 m n = J L m n + J R m n = B L m n + B R m n .
J L m n / J R m n = B L m n / B R m n .
F 1 init = J ^ calib 1 J ^ calib ,
Φ 1 ini t = F 1 ( φ ) = J ^ calib 1 J ^ calib comp = cos 2 φ 1 cos 2 φ = cos 2 φ sin 2 φ = cot 2 φ .
cot φ func = ( F 1 arg ) 1 / 2
Φ 1 inv = φ func = a r c cot ( F arg ) 1 / 2 .
Φ 1 inv ( s inf m n ) = a r c cot ( B L m n / B R m n ) 1 / 2 .

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