Abstract

We propose a compact compound-eye projector using superresolved projection. The optics are composed of multiple small suboptics (units) to reduce their thickness in the projector. Each of the suboptics adds a subpixel shift to a projected image for superresolved projection and has a color filter or a dispersive element for multicolor projection. The projected images in the units are determined via a model of the system in preprocessing. The images are projected by the suboptics and superimposed on a screen. In this Letter, we describe the system model and show the simulation results.

© 2011 Optical Society of America

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References

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  1. M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
    [CrossRef]
  2. N. Damera-Venkata and N. L. Chang, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR '07) (IEEE, 2007), pp. 1–8.
  3. J. Tanida, T. Kumagai, K. Yamada, S. Miyatake, K. Ishida, T. Morimoto, N. Kondou, D. Miyazaki, and Y. Ichioka, Appl. Opt. 40, 1806 (2001).
    [CrossRef]
  4. R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
    [CrossRef]
  5. R. Horisaki, K. Choi, J. Hahn, J. Tanida, and D. J. Brady, Opt. Express 18, 19367 (2010).
    [CrossRef] [PubMed]
  6. N. Damera-Venkata and N. L. Chang, in Proceedings of the IEEE International Conference on Image Processing (ICIP, 2007), Vol. V, pp. 373–376.
  7. W. H. Richardson, J. Opt. Soc. Am. 62, 55(1972).
    [CrossRef]

2010

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

R. Horisaki, K. Choi, J. Hahn, J. Tanida, and D. J. Brady, Opt. Express 18, 19367 (2010).
[CrossRef] [PubMed]

2001

1972

Brady, D. J.

Bräuer, A.

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

Chang, N. L.

N. Damera-Venkata and N. L. Chang, in Proceedings of the IEEE International Conference on Image Processing (ICIP, 2007), Vol. V, pp. 373–376.

N. Damera-Venkata and N. L. Chang, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR '07) (IEEE, 2007), pp. 1–8.

Choi, K.

Damera-Venkata, N.

N. Damera-Venkata and N. L. Chang, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR '07) (IEEE, 2007), pp. 1–8.

N. Damera-Venkata and N. L. Chang, in Proceedings of the IEEE International Conference on Image Processing (ICIP, 2007), Vol. V, pp. 373–376.

Dannberg, P.

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

Hahn, J.

Horisaki, R.

R. Horisaki, K. Choi, J. Hahn, J. Tanida, and D. J. Brady, Opt. Express 18, 19367 (2010).
[CrossRef] [PubMed]

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

Ichioka, Y.

Ishida, K.

Kagawa, K.

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

Kondou, N.

Kumagai, T.

Masaki, Y.

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

Miyatake, S.

Miyazaki, D.

Morimoto, T.

Nakao, Y.

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

Richardson, W. H.

Schreiber, P.

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

Sieler, M.

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

Tanida, J.

Toyoda, T.

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

Yamada, K.

Appl. Opt.

Appl. Phys. Express

R. Horisaki, K. Kagawa, Y. Nakao, T. Toyoda, Y. Masaki, and J. Tanida, Appl. Phys. Express 3, 022501 (2010).
[CrossRef]

J. Opt. Soc. Am.

Opt. Express

Proc. SPIE

M. Sieler, P. Schreiber, P. Dannberg, and A. Bräuer, Proc. SPIE 7716, 77161A (2010).
[CrossRef]

Other

N. Damera-Venkata and N. L. Chang, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR '07) (IEEE, 2007), pp. 1–8.

N. Damera-Venkata and N. L. Chang, in Proceedings of the IEEE International Conference on Image Processing (ICIP, 2007), Vol. V, pp. 373–376.

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Figures (5)

Fig. 1
Fig. 1

Diagram of the proposed projector.

Fig. 2
Fig. 2

Setups of color filters in (a) system i and (b) system ii and setup of dispersive elements in (c) system iii.

Fig. 3
Fig. 3

Simulation results with Lena: (a) original image and superimposed images obtained by (b) system i, (c) system ii, and (d) system iii.

Fig. 4
Fig. 4

Simulation results with Lake: (a) original image and superimposed images obtained by (b) system i, (c) system ii, and (d) system iii.

Fig. 5
Fig. 5

Simulation results with RGB: (a) original image and superimposed images obtained by (b) system i, (c) system ii, and (d) system iii.

Tables (1)

Tables Icon

Table 1 PSNRs (dB) between the Original Images and the Superimposed Images in Systems i, ii, and iii

Equations (8)

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G ( x ) = 1 M u F u ( x / M + 0.5 S u ) ,
G m ( x ) = 1 M u F u ( x / M + 0.5 S m , u ) W m , u ,
U = [ 1 0 0 0 1 0 0 0 1 ] ,
C m , u ( p , q ) = { W m , u / M ( p = q + S m , u ) , 0 ( p q + S m , u ) ,
C u = [ C 0 , u C 1 , u C N m 1 , u ] ,
g = Hf = [ C 0 U C 1 U C N u 1 U ] f = [ C 0 , 0 U C 0 , 1 U C 0 , N u 1 U C 1 , 0 U C 1 , 1 U C 1 , N u 1 U C N m 1 , 0 U C N m 1 , 1 U C N m 1 , N u 1 U ] f ,
f ^ = arg min f g Hf 2 subject to 0 f ^ ( p ) c , p ,
f ^ arg max f L ( f | g ) subject to 0 f ^ ( p ) c , p ,

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