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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 27 — Sep. 20, 2006
  • pp: 6954–6964

Comparison of cubic B-spline and Zernike-fitting techniques in complex wavefront reconstruction

M. Ares and S. Royo  »View Author Affiliations


Applied Optics, Vol. 45, Issue 27, pp. 6954-6964 (2006)
http://dx.doi.org/10.1364/AO.45.006954


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Abstract

We analyze an alternative to classical Zernike fitting based on the cubic B-spline model, and compare the strengths and weaknesses of each representation over a set of different wavefronts that cover a wide range of shape complexity. The results obtained show that a Zernike low-degree polynomial expansion or a cubic B-spline with a low number of breakpoints are the best choices for fitting simple wavefronts, whereas the cubic B-spline approach performs much better when more complex wavefronts are involved. The effect of noise level in the fit quality for the different wavefronts is also studied.

© 2006 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: March 8, 2006
Manuscript Accepted: May 3, 2006

Virtual Issues
Vol. 1, Iss. 10 Virtual Journal for Biomedical Optics

Citation
M. Ares and S. Royo, "Comparison of cubic B-spline and Zernike-fitting techniques in complex wavefront reconstruction," Appl. Opt. 45, 6954-6964 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-27-6954

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