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Journal of Zhejiang University SCIENCE B 2008 Vol.9 No.12 P.996-1002


Representing the retinal line spread shape with mathematical functions

Author(s):  Yi-rong YANG, Justin WANEK, Mahnaz SHAHIDI

Affiliation(s):  Department of Bioengineering, University of Illinois at Chicago, IL 60607, USA; more

Corresponding email(s):   yyang19@uic.edu

Key Words:  Retina, Double-pass line spread function (LSF), Lorentzian, Gaussian, Exponential

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Yi-rong YANG, Justin WANEK, Mahnaz SHAHIDI. Representing the retinal line spread shape with mathematical functions[J]. Journal of Zhejiang University Science B, 2008, 9(12): 996-1002.

@article{title="Representing the retinal line spread shape with mathematical functions",
author="Yi-rong YANG, Justin WANEK, Mahnaz SHAHIDI",
journal="Journal of Zhejiang University Science B",
publisher="Zhejiang University Press & Springer",

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%T Representing the retinal line spread shape with mathematical functions
%A Yi-rong YANG
%A Justin WANEK
%J Journal of Zhejiang University SCIENCE B
%V 9
%N 12
%P 996-1002
%@ 1673-1581
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.B0820184

T1 - Representing the retinal line spread shape with mathematical functions
A1 - Yi-rong YANG
A1 - Justin WANEK
A1 - Mahnaz SHAHIDI
J0 - Journal of Zhejiang University Science B
VL - 9
IS - 12
SP - 996
EP - 1002
%@ 1673-1581
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.B0820184

Objective: To report a mathematical function that characterizes the double-pass line spread function (LSF) of the human eye. Determining analytical functions that represent the double-pass LSF is important because it allows modeling the optical performance of the eye. Methods: Optical section retinal images, generated in normal human eyes using a modified slit-lamp biomicroscope, were analyzed to derive the double-pass LSF by plotting the intensity distribution of laser light reflected/ scattered from the vitreoretinal interface. Three mathematical functions (lorentzian, gaussian, exponential) were fitted to the double-pass LSF and the root mean square error (RMSE) was calculated to provide a measure of the goodness of fit. Results: The lorentzian function provided the best representation of the double-pass LSF of normal human eyes. The full width at half maximum (FWHM) of the lorentzian fitted curve was positively correlated with age, indicating that the double-pass LSF broadens with age. Furthermore, the goodness of fit of the lorentzian function was significantly better in younger subjects as compared with older subjects, suggesting that the fitted function to the double-pass LSF may vary according to age. Conclusion: The results demonstrate an age-related change in the double-pass LSF width and the goodness of fit of the lorentzian function.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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