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J Opt Soc Am A Opt Image Sci Vis. 2005 Sep;22(9):1709-16.

Weighted Zernike expansion with applications to the optical aberration of the human eye.

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  • 1Department of Mathematics, Indiana University, Bloomington, Indiana 47405, USA.


We propose to use weighted Zernike functions to represent the aberrations of an eye. Methods for computing the phase of an aberrated ophthalmic wavefront in terms of weighted Zernike functions are discussed. In particular, we consider several options for integrating the phase out of its measured slopes. The weighted functions involve a free parameter. Clinical data on subjective refraction and aberration maps of individual subjects are used to determine an estimate for this parameter.

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