OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 1 — Feb. 4, 2013

Wavefront aberration reconstruction from tangential refractive powers measured with spatial dynamic skiascopy

Sergio Barbero  »View Author Affiliations

Applied Optics, Vol. 51, Issue 36, pp. 8599-8605 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (617 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The aim of this work was to study, using numerical simulations, the attainable level of accuracy to reconstruct the wavefront aberrations from tangential refractive power data measured with dynamic skiascopy. Two mathematical methods have been implemented. The first one is based on curve integration of the curvature data, previously interpolated with cubic splines. The second one reconstructs the three-dimensional wavefront surface, represented by a Zernike polynomial expansion, using a two-step least-squares method. The different factors affecting the reconstruction—noise, sampling, and wavefront patterns—were quantified. The results provide useful information to design more efficient experimental setups based on spatial dynamic skiascopy.

© 2012 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(330.7327) Vision, color, and visual optics : Visual optics, ophthalmic instrumentation

ToC Category:
Vision, Color, and Visual Optics

Original Manuscript: September 14, 2012
Revised Manuscript: November 16, 2012
Manuscript Accepted: November 17, 2012
Published: December 14, 2012

Virtual Issues
Vol. 8, Iss. 1 Virtual Journal for Biomedical Optics

Sergio Barbero, "Wavefront aberration reconstruction from tangential refractive powers measured with spatial dynamic skiascopy," Appl. Opt. 51, 8599-8605 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. J. Benjamin and I. M. Borish, Borish’s Clinical Refraction (Butterworth Heinemann/Elsevier, 2006).
  2. M. Fujieda, “Ophthalmic measurement apparatus having plural pairs of photoreceiving elements,” U.S. patent 5,907,388 (25May1999).
  3. S. MacRae and M. Fujieda, “Slit skiascopic-guided ablation using the Nidek laser,” J. Refract. Surg. 16, S576–S580(2000).
  4. D. A. Atchison, “The skew ray issue in ocular aberration measurement,” Optom. Vis. Sci. 83, 396–398 (2006). [CrossRef]
  5. M. Fujieda and B. Yukinobu, “Ophthalmic measurement apparatus,” U.S. patent 7,296,896 (20November2007).
  6. O. Hieda and S. Kinoshita, “Measuring of ocular wavefront aberration in large pupils using OPD-scan,” Semin. Ophthalmol. 18, 35–40 (2003). [CrossRef]
  7. J. Nam, L. N. Thibos, and D. R. Iskander, “Zernike radial slope polynomials for wavefront reconstruction and refraction,” J. Opt. Soc. Am. A 26, 1035–1048 (2009). [CrossRef]
  8. J. J. Stoker, Differential Geometry (Wiley-Interscience, 1969).
  9. A. D. Polianin and V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations (CRC, 1995).
  10. C. Elster, J. Gerhardt, P. Thomsen-Schmidt, M. Schulz, and I. Weingartner, “Reconstructing surface profiles from curvature measurements,” Optik 113, 154–158 (2002). [CrossRef]
  11. C. Elster, “High-accuracy reconstruction of a function f(x) when only d/dx f(x) or d2/dx2f(x) is known at discrete measurement points,” Proc. SPIE 4782, 12–20 (2002).
  12. P. Lancaster and K. Salkauskas, Curve and Surface Fitting: an Introduction (Academic, 1986).
  13. G.-M. Dai, “Modal wave-front reconstruction with Zernike polynomials and Karhunen-Loève functions,” J. Opt. Soc. Am. A 13, 1218–1225 (1996). [CrossRef]
  14. E. Acosta, S. Bara, and S. Rios, “Modal projectors for linear operators in Optics,” Opt. Commun. 162, 211–214 (1999). [CrossRef]
  15. J. Nam and J. Rubinstein, “Weighted Zernike expansion with applications to the optical aberration of the human eye,” J. Opt. Soc. Am. A 22, 1709–1716 (2005). [CrossRef]
  16. C. E. Campbell, “A test eye for wavefront eye refractors,” J. Refract. Surg. 21, 127–140 (2005).
  17. J. J. Rozema, D. E. M. Van Dyck, and M. J. Tassignon, “Clinical comparison of 6 aberrometers. Part 1: technical specifications,” J. Cataract Refract. Surg. 31, 1114–1127 (2005). [CrossRef]
  18. A. Z. Burakgazi, B. Tinio, A. Bababyan, K. K. Niksarli, and P. Asbell, “Higher order aberrations in normal eyes measured with three different aberrometers,” J. Refract. Surg. 22, 898–903 (2006).
  19. A. Cerviño, S. L. Hosking, and R. Montes-Mico, “Comparison of higher order aberrations measured by NIDEK OPD-Scan dynamic skiascopy and Zeiss WASCA Hartmann–Shack aberrometers,” J. Refract. Surg. 24, 790–796 (2008).
  20. D. U. Bartsch, K. Bessho, L. Gomez, and W. R. Freeman, “Comparison of laser ray-tracing and skiascopic ocular wavefront-sensing devices,” Eye 22, 1384–1390 (2007). [CrossRef]
  21. D. Zadok, Y. Levy, O. Segal, Y. Barkana, Y. Morad, and I. Avni, “Ocular higher-order aberrations in myopia and skiascopic wavefront repeatability,” J. Cataract Refract. Surg. 31, 1128–1132 (2005). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited