Abstract

We report on an algorithm for fast wavefront sensing that incorporates sparse representation for the first time in practice. The partial derivatives of optical wavefronts were sampled sparsely with a Shack–Hartman wavefront sensor (SHWFS) by randomly subsampling the original SHWFS data to as little as 5%. Reconstruction was performed by a sparse representation algorithm that utilized the Zernike basis. We name this method sparse Zernike (SPARZER). Experiments on real and simulated data attest to the accuracy of the proposed techniques as compared to traditional sampling and reconstruction methods. We have made the corresponding dataset and software freely available online. Compressed wavefront sensing offers the potential to increase the speed of wavefront acquisition and to defray the cost of SHWFS devices.

© 2014 Optical Society of America

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D. W. D. Monteiro, G. Vdovin, P. M. Sarro, Sens. Actuators A Phys. 109, 220 (2004).

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Shakouri, A.

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Stern, A.

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M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
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E. J. Candes, J. Romberg, T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
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A. Beck, M. Teboulle, SIAM J. Imaging Sci. 2, 183 (2009).

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J. Porter, H. Queener, J. Lin, K. Thorn, A. A. Awwal, Adaptive Optics for Vision Science: Principles, Practices, Design and Applications (Wiley, 2006).

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L. Y. Fang, S. T. Li, R. P. McNabb, Q. Nie, A. N. Kuo, C. A. Toth, J. A. Izatt, S. Farsiu, IEEE Trans. Med. Imaging 32, 2034 (2013).
[CrossRef]

L. Y. Fang, S. T. Li, Q. Nie, J. A. Izatt, C. A. Toth, S. Farsiu, Biomed. Opt. Express 3, 927 (2012).
[CrossRef]

Unterhuber, A.

Vdovin, G.

D. W. D. Monteiro, G. Vdovin, P. M. Sarro, Sens. Actuators A Phys. 109, 220 (2004).

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M. Rostami, O. Michailovich, Z. Wang, IEEE Trans. Image Process. 21, 3139 (2012).
[CrossRef]

Werner, J. S.

Williams, D. R.

Xu, D.

Zawadzki, R. J.

Zhao, M. T.

Annu. Rev. Astron. Astrophys. (1)

J. M. Beckers, Annu. Rev. Astron. Astrophys. 31, 13 (1993).
[CrossRef]

Appl. Opt. (2)

Astrophys J. (1)

O. Guyon, Astrophys J. 629, 592 (2005).

Biomed. Opt. Express (3)

IEEE Signal Process. Mag. (1)

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

IEEE Trans. Image Process. (2)

M. Rostami, O. Michailovich, Z. Wang, IEEE Trans. Image Process. 21, 3139 (2012).
[CrossRef]

M. Elad, M. Aharon, IEEE Trans. Image Process. 15, 3736 (2006).
[CrossRef]

IEEE Trans. Inf. Theory (3)

D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006).
[CrossRef]

E. J. Candes, J. Romberg, T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006).
[CrossRef]

E. J. Candes, T. Tao, IEEE Trans. Inf. Theory 52, 5406 (2006).
[CrossRef]

IEEE Trans. Med. Imaging (1)

L. Y. Fang, S. T. Li, R. P. McNabb, Q. Nie, A. N. Kuo, C. A. Toth, J. A. Izatt, S. Farsiu, IEEE Trans. Med. Imaging 32, 2034 (2013).
[CrossRef]

IEEE Trans. Signal Process. (1)

D. Baron, S. Sarvotham, R. G. Baraniuk, IEEE Trans. Signal Process. 58, 269 (2010).
[CrossRef]

Investig. Ophthamol. Vis. Sci. (1)

B. Jaeken, P. Artal, Investig. Ophthamol. Vis. Sci. 53, 3405 (2012).

J. Opt. Soc. Am. A (5)

Opt. Express (3)

Opt. Lett. (2)

Proc. SPIE (2)

B. Pathak, A. Das, B. R. Boruah, Proc. SPIE 8557, 85570A (2012).
[CrossRef]

R. Mackey, C. Dainty, Proc. SPIE 7108, 71080I (2008).
[CrossRef]

Sens. Actuators A Phys. (1)

D. W. D. Monteiro, G. Vdovin, P. M. Sarro, Sens. Actuators A Phys. 109, 220 (2004).

SIAM J. Imaging Sci. (1)

A. Beck, M. Teboulle, SIAM J. Imaging Sci. 2, 183 (2009).

Other (2)

M. S. Hosseini, O. Michailovich, in 17th European Signal Processing Conference (2009), p. 115.

J. Porter, H. Queener, J. Lin, K. Thorn, A. A. Awwal, Adaptive Optics for Vision Science: Principles, Practices, Design and Applications (Wiley, 2006).

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