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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 8 — Aug. 1, 2006
  • pp: 1960–1966

General method to derive the relationship between two sets of Zernike coefficients corresponding to different aperture sizes

Huazhong Shu, Limin Luo, Guoniu Han, and Jean-Louis Coatrieux  »View Author Affiliations


JOSA A, Vol. 23, Issue 8, pp. 1960-1966 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001960


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Abstract

Zernike polynomials have been widely used to describe the aberrations in wavefront sensing of the eye. The Zernike coefficients are often computed under different aperture sizes. For the sake of comparison, the same aperture diameter is required. Since no standard aperture size is available for reporting the results, it is important to develop a technique for converting the Zernike coefficients obtained from one aperture size to another size. By investigating the properties of Zernike polynomials, we propose a general method for establishing the relationship between two sets of Zernike coefficients computed with different aperture sizes.

© 2006 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(220.1010) Optical design and fabrication : Aberrations (global)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: November 16, 2005
Revised Manuscript: February 15, 2006
Manuscript Accepted: March 2, 2006

Virtual Issues
Vol. 1, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Huazhong Shu, Limin Luo, Guoniu Han, and Jean-Louis Coatrieux, "General method to derive the relationship between two sets of Zernike coefficients corresponding to different aperture sizes," J. Opt. Soc. Am. A 23, 1960-1966 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-8-1960


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References

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