In this work, a new approach, a method using artificial neural networks was applied to reconstruct the wavefront. First, the optimal structure of neural networks was found. Then, the networks were trained on both noise-free and noisy spot patterns. The results of the wavefront reconstruction with artificial neural networks were compared to those obtained through the least square fit and singular value decomposition method.

© 2006 Optical Society of America

1. J. Liang, B. Grimm, S. Goelz, J. Bille, "Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor," J. Opt. Soc. Am. A 11, 1949-1957 (1994). [CrossRef]
2. D. Fried, "Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements," J. Opt. Soc. Am. 67, 370-375 (1977). [CrossRef]
3. R. Cubalchini, "Modal wave-front estimation from phase derivative measurements," J. Opt. Soc. Am. 69, 972-977 (1979). [CrossRef]
4. W. H. Southwell, "Wave-front estimation from wavefront slope measurements," J. Opt. Soc. Am. 70, 998-1006 (1980). [CrossRef]
5. C. Bishop, Neural Networks for Pattern Recognition (Clarendon Press, Oxford, 1995).
6. Y. Yasuno, T. Yatagai, T. F. Wiesendanger, A. K. Ruprecht, and H. J. Tiziani, "Aberration measurement from confocal axial intensity response using neural network," Opt. Express 10, 1451-1457 (2002). [PubMed]
7. T. K. Barrett, D. G. Sandier, "Artificial neural network for the determination of Hubble Space Telescope aberration from stellar images," Appl. Opt. 32, 1720-1727 (1993). [CrossRef] [PubMed]
8. D. A. Montera, B. M. Welsh, M. C. Roggemann, and D. W. Ruck, "Prediction of wave-front sensor slope measurements with artificial neural networks," Appl. Opt. 36, 675-681 (1997). [CrossRef] [PubMed]
9. J. W. Clark, T. Lindenau, M. L. Ristig, Scientific Applications of Neural Nets (Springer, 1998).
10. T. Nirmaier, G. Pudasaini, and J. Bille, "Very fast wave-front measurements at the human eye with a custom CMOS-based Hartmann-Shack sensor," Opt. Express 11, 2704-2716 (2003). [CrossRef] [PubMed]
11. L. N. Thibos, A. Bradley, and X. Hong, "A statistical model of the aberration structure of normal, well-corrected eyes," Ophthalmic Physiol. Opt. 22, 427-433 (2002). [CrossRef] [PubMed]
12. J. Porter, A. Guirao, I. G. Gox, D. R. Williams, "Monochromatic aberrations of the human eyes in a large population," J. Opt. Soc. Am. A 18, 1793-1803 (2001). [CrossRef]
13. L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19, 2329-2348 (2002). [CrossRef]
14. J. F. Castej´on-Moch´on, N. L´opez-Gil, A. Benito, P. Artal, "Ocular wave-front statistics in a normal young population," Vis. Res. 42, 1611-1617 (2002).Q1 [CrossRef] [PubMed]
15. S. Walczak, N. Cerpa, "Heuristic principles for the design of artificial neural networks," Information and Software Technology 41, 107-117 (1999). [CrossRef]

Appl. Opt.

• T. K. Barrett, D. G. Sandier, "Artificial neural network for the determination of Hubble Space Telescope aberration from stellar images," Appl. Opt. 32, 1720-1727 (1993). [CrossRef] [PubMed]
• D. A. Montera, B. M. Welsh, M. C. Roggemann, and D. W. Ruck, "Prediction of wave-front sensor slope measurements with artificial neural networks," Appl. Opt. 36, 675-681 (1997). [CrossRef] [PubMed]

Information and Software Technology

• S. Walczak, N. Cerpa, "Heuristic principles for the design of artificial neural networks," Information and Software Technology 41, 107-117 (1999). [CrossRef]

J. Opt. Soc. Am.

• D. Fried, "Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements," J. Opt. Soc. Am. 67, 370-375 (1977). [CrossRef]
• R. Cubalchini, "Modal wave-front estimation from phase derivative measurements," J. Opt. Soc. Am. 69, 972-977 (1979). [CrossRef]
• W. H. Southwell, "Wave-front estimation from wavefront slope measurements," J. Opt. Soc. Am. 70, 998-1006 (1980). [CrossRef]

J. Opt. Soc. Am. A

• J. Liang, B. Grimm, S. Goelz, J. Bille, "Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor," J. Opt. Soc. Am. A 11, 1949-1957 (1994). [CrossRef]
• J. Porter, A. Guirao, I. G. Gox, D. R. Williams, "Monochromatic aberrations of the human eyes in a large population," J. Opt. Soc. Am. A 18, 1793-1803 (2001). [CrossRef]
• L. N. Thibos, X. Hong, A. Bradley, and X. Cheng, "Statistical variation of aberration structure and image quality in a normal population of healthy eyes," J. Opt. Soc. Am. A 19, 2329-2348 (2002). [CrossRef]

Ophthalmic Physiol. Opt.

• L. N. Thibos, A. Bradley, and X. Hong, "A statistical model of the aberration structure of normal, well-corrected eyes," Ophthalmic Physiol. Opt. 22, 427-433 (2002). [CrossRef] [PubMed]

Opt. Express

• T. Nirmaier, G. Pudasaini, and J. Bille, "Very fast wave-front measurements at the human eye with a custom CMOS-based Hartmann-Shack sensor," Opt. Express 11, 2704-2716 (2003). [CrossRef] [PubMed]
• Y. Yasuno, T. Yatagai, T. F. Wiesendanger, A. K. Ruprecht, and H. J. Tiziani, "Aberration measurement from confocal axial intensity response using neural network," Opt. Express 10, 1451-1457 (2002). [PubMed]

Vis. Res.

• J. F. Castej´on-Moch´on, N. L´opez-Gil, A. Benito, P. Artal, "Ocular wave-front statistics in a normal young population," Vis. Res. 42, 1611-1617 (2002).Q1 [CrossRef] [PubMed]

Other

• J. W. Clark, T. Lindenau, M. L. Ristig, Scientific Applications of Neural Nets (Springer, 1998).
• C. Bishop, Neural Networks for Pattern Recognition (Clarendon Press, Oxford, 1995).

Click here to see a list of articles that cite this paper

Related Journal Articles

• Wave-front measurements of terawatt-class ultrashort laser pulses by the Fresnel phase-retrieval method (JOSAB)
• Theory of branch-point detection and its implementation (JOSAA)
• Phase retrieval for undersampled broadband images (JOSAA)
• Hartmann wave-front scanner (OL)
• Potential and Vortex Features of Optical Speckle Fields and Visualization of Wave-Front Singularities (AO)

Related Conference Papers

• Adaptation of the Zernike's Phase-Contrast Method for Retinal Imaging
• Adaptation of the Zernike's Phase-Contrast Method for Retinal Imaging
• Adaptation of the Zernike's Phase-Contrast Method for Retinal Imaging
• Wavefront sensing with a flexible detector geometry using an array of binary holograms
• Optical 3D Profiling by Partitioned Aperture Wavefront Imaging