Abstract

We present a methodology with which to evaluate translations and rotations of wavefront aberration measurements of systems in which the exit pupil suffers displacements and rotations with respect to the reference frame of the measuring device. We propose to use image registration techniques to account for rotations, translations, and scale changes of the pupil. We present a proof of principle, using an artificial eye in addition to computer simulations. The method is software based and requires no additional hardware.

© 2006 Optical Society of America

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References

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  1. B. S. Reddy and B. N. Chatterji, IEEE Trans. Image Process. 5, 1266 (1996).
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    [CrossRef]
  7. American National Standards Institute, Standard ANSI-Z80.28-2004, 'Methods for reporting optical aberrations of eyes,' (American National Standards Institute, 2004).
  8. S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).
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2005

2004

S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).

2003

N. Davies, L. Diaz-Santana, and D. Lara-Saucedo, Optom. Vision Sci. 80, 142 (2003).
[CrossRef]

L. Diaz-Santana, C. Torti, I. Munro, P. Gasson, and C. Dainty, Opt. Express 11, 2597 (2003).
[CrossRef] [PubMed]

2001

A. Guirao, D. R. Williams, and I. G. Cox, J. Opt. Soc. Am. A 18, 1003 (2001).
[CrossRef]

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

2000

R. Navarro, E. Moreno-Barriuso, S. Bará, and T. Mancebo, Opt. Lett. 25, 236 (2000).
[CrossRef]

J. Schwiegerling and R. W. Snyder, J. Cataract Refractive Surg. 26, 345 (2000).
[CrossRef]

1996

B. S. Reddy and B. N. Chatterji, IEEE Trans. Image Process. 5, 1266 (1996).
[CrossRef] [PubMed]

1994

Aragón, J. L.

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

Artal, P.

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

Bará, S.

Bará, S. X.

Bille, J. F.

Chatterji, B. N.

B. S. Reddy and B. N. Chatterji, IEEE Trans. Image Process. 5, 1266 (1996).
[CrossRef] [PubMed]

Cox, I. G.

Dainty, C.

Davies, N.

N. Davies, L. Diaz-Santana, and D. Lara-Saucedo, Optom. Vision Sci. 80, 142 (2003).
[CrossRef]

Diaz-Santana, L.

Gasson, P.

Goelz, S.

Grimm, B.

Guirao, A.

Hofer, H.

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

Hubel, D. H.

S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).

Lara-Saucedo, D.

N. Davies, L. Diaz-Santana, and D. Lara-Saucedo, Optom. Vision Sci. 80, 142 (2003).
[CrossRef]

Liang, J.

Macknik, S. L.

S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).

Mancebo, T.

Martinez-Conde, S.

S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).

Moreno-Barriuso, E.

Munro, I.

Navarro, R.

Reddy, B. S.

B. S. Reddy and B. N. Chatterji, IEEE Trans. Image Process. 5, 1266 (1996).
[CrossRef] [PubMed]

Schwiegerling, J.

J. Schwiegerling and R. W. Snyder, J. Cataract Refractive Surg. 26, 345 (2000).
[CrossRef]

Singer, B.

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

Snyder, R. W.

J. Schwiegerling and R. W. Snyder, J. Cataract Refractive Surg. 26, 345 (2000).
[CrossRef]

Torti, C.

Walker, G.

Williams, D. R.

A. Guirao, D. R. Williams, and I. G. Cox, J. Opt. Soc. Am. A 18, 1003 (2001).
[CrossRef]

H. Hofer, P. Artal, B. Singer, J. L. Aragón, and D. R. Williams, J. Opt. Soc. Am. A 18, 597 (2001).
[CrossRef]

IEEE Trans. Image Process.

B. S. Reddy and B. N. Chatterji, IEEE Trans. Image Process. 5, 1266 (1996).
[CrossRef] [PubMed]

J. Cataract Refractive Surg.

J. Schwiegerling and R. W. Snyder, J. Cataract Refractive Surg. 26, 345 (2000).
[CrossRef]

J. Opt. Soc. Am. A

Nature Rev.

S. Martinez-Conde, S. L. Macknik, and D. H. Hubel, Nature Rev. 5, 229 (2004).

Opt. Express

Opt. Lett.

Optom. Vision Sci.

N. Davies, L. Diaz-Santana, and D. Lara-Saucedo, Optom. Vision Sci. 80, 142 (2003).
[CrossRef]

Other

American National Standards Institute, Standard ANSI-Z80.28-2004, 'Methods for reporting optical aberrations of eyes,' (American National Standards Institute, 2004).

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Figures (3)

Fig. 1
Fig. 1

Rotations as translations: (a) original image, (b) image rotated π 4 , (c) polar representation of (a), (d) polar representation of (b). (d) is a translated version of (c).

Fig. 2
Fig. 2

(a) Gray-scale representation of ocular wavefront. (b) Mach–Zehnder interferogram of the corresponding phase plate. (c) Interferogram of the phase plate from HS data. (d) Same as (c) after 500 μ m displacement of the plate. All figures made for a 4.1 mm diameter pupil.

Fig. 3
Fig. 3

Experimental results (a) for translations and (b) for rotations.

Equations (3)

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F 1 ( ξ , η ) F 2 * ( ξ , η ) F 1 ( ξ , η ) F 2 * ( ξ , η ) = exp [ i 2 π ( ξ x 0 + η y 0 ) ] .
f 2 ( θ , ρ ) = f 1 ( θ θ 0 , ρ ) ,
f 2 ( log x , log y ) = f 1 ( log x log a , log y log b ) ,

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