Abstract

We describe an approach to achieving extended depth of field for a camera system based on reducing the aperture of the blue channel of a three-color camera by apodizing the lens with a yellow-colored filter. The resulting improvement in depth of field for the blue channel allows red and green channels to be digitally postprocessed for improved sharpness. Simulation confirms that our approach renders the modular transfer function of the system less dependent on object depth. Experimental test images verify the improvement in depth of field.

© 2011 Optical Society of America

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References

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  1. E. R. Dowski, Jr. and W. T. Cathey, Appl. Opt. 34, 11 (1995).
    [CrossRef]
  2. J. W. Goodman, in Introduction to Fourier Optics (McGraw-Hill, 1968) pp. 101–141.
  3. F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
    [CrossRef]
  4. A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.
  5. J. F. Mather, A. Kay, and H. G. Walton, “Camera and imaging system,” Chinese patent 200910174371 (March 17, 2010).

2009

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

1995

Cao, F.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Cathey, W. T.

Dowski, E. R.

Durand, F.

A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.

Fergus, R.

A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.

Freeman, W.

A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.

Goodman, J. W.

J. W. Goodman, in Introduction to Fourier Optics (McGraw-Hill, 1968) pp. 101–141.

Guichard, F.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Kay, A.

J. F. Mather, A. Kay, and H. G. Walton, “Camera and imaging system,” Chinese patent 200910174371 (March 17, 2010).

Levin, A.

A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.

Mather, J. F.

J. F. Mather, A. Kay, and H. G. Walton, “Camera and imaging system,” Chinese patent 200910174371 (March 17, 2010).

Phi-Nguyen, H.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Pyanet, M.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Tarchouna, I.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Tessieres, R.

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Walton, H. G.

J. F. Mather, A. Kay, and H. G. Walton, “Camera and imaging system,” Chinese patent 200910174371 (March 17, 2010).

Appl. Opt.

Proc. SPIE

F. Guichard, H. Phi-Nguyen, R. Tessieres, M. Pyanet, I. Tarchouna, and F. Cao, Proc. SPIE 7250, 72500N (2009).
[CrossRef]

Other

A. Levin, R. Fergus, F. Durand, and W. Freeman, in Proceedings of ACM SIGGRAPH 2007 (ACM, 2007), paper 70.

J. F. Mather, A. Kay, and H. G. Walton, “Camera and imaging system,” Chinese patent 200910174371 (March 17, 2010).

J. W. Goodman, in Introduction to Fourier Optics (McGraw-Hill, 1968) pp. 101–141.

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Figures (4)

Fig. 1
Fig. 1

Yellow apodizing aperture used in our EDOF approach.

Fig. 2
Fig. 2

Effect of apodizing aperture on blue channel MTF.

Fig. 3
Fig. 3

Calculated PSF for point source object at a distance of 300, 500, 1000, 3000, and 10 , 000 mm without yellow apodization. (a)  b / a = 1 , (b)  b / a = 2 / 3 , (c)  b / a = 1 / 3 .

Fig. 4
Fig. 4

Experimental trial of extended depth of field by color apodization. (a) Image from the unmodified system, (b) image from the EDOF system. Notice the improved sharpness of the resolution chart in the background and business cards in the foreground.

Equations (3)

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G = L P F ( G B ) + B ,
θ λ d ,
I = O * PSF ,

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