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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. 9 — Sep. 1, 2006
  • pp: 2061–2066

Direct transformation of Zernike eye aberration coefficients between scaled, rotated, and/or displaced pupils

Salvador Bará, Justo Arines, Jorge Ares, and Paula Prado  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2061-2066 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002061


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Abstract

In eye aberrometry it is often necessary to transform the aberration coefficients in order to express them in a scaled, rotated, and/or displaced pupil. This is usually done by applying to the original coefficients vector a set of matrices accounting for each elementary transformation. We describe an equivalent algebraic approach that allows us to perform this conversion in a single step and in a straightforward way. This approach can be applied to any particular definition, normalization, and ordering of the Zernike polynomials, and can handle a wide range of pupil transformations, including, but not restricted to, anisotropic scalings. It may also be used to transform the aberration coefficients between different polynomial basis sets.

© 2006 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(220.1010) Optical design and fabrication : Aberrations (global)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(330.5370) Vision, color, and visual optics : Physiological optics

ToC Category:
Vision, Color, and Visual Optics

History
Original Manuscript: December 14, 2005
Revised Manuscript: February 24, 2006
Manuscript Accepted: March 20, 2006

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

Citation
Salvador Bará, Justo Arines, Jorge Ares, and Paula Prado, "Direct transformation of Zernike eye aberration coefficients between scaled, rotated, and/or displaced pupils," J. Opt. Soc. Am. A 23, 2061-2066 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2061


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References

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