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

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.

[1]  A Bradley,et al.  Apodization by the Stiles-Crawford effect moderates the visual impact of retinal image defocus. , 1999, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Junzhong Liang,et al.  Aberrations and retinal image quality of the normal human eye. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Jim Schwiegerling Gaussian weighting of ocular wave-front measurements. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  Jacob Rubinstein,et al.  Reconstruction of Optical Surfaces from Ray Data , 2001 .

[5]  Luc Missotten,et al.  Expression of apoptosis markers in the retinas of human subjects with diabetes. , 2004, Investigative ophthalmology & visual science.

[6]  R A Applegate,et al.  Parametric representation of Stiles-Crawford functions: normal variation of peak location and directionality. , 1993, Journal of the Optical Society of America. A, Optics and image science.

[7]  Junzhong Liang,et al.  Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor. , 1994, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  L. Thibos,et al.  Power Vectors: An Application of Fourier Analysis to the Description and Statistical Analysis of Refractive Error , 1997, Optometry and vision science : official publication of the American Academy of Optometry.

[9]  W. Southwell Wave-front estimation from wave-front slope measurements , 1980 .

[10]  A. Bradley,et al.  Accuracy and precision of objective refraction from wavefront aberrations. , 2004, Journal of vision.

[11]  W. Stiles,et al.  The Luminous Efficiency of Rays Entering the Eye Pupil at Different Points , 1933 .

[12]  L. Thibos,et al.  Standards for reporting the optical aberrations of eyes. , 2002, Journal of refractive surgery.