Optimal Modeling of Corneal Surfaces with Zernike Polynomials

Iskander, D. Robert, Collins, Michael J., & Davis, Brett A. (2001) Optimal Modeling of Corneal Surfaces with Zernike Polynomials. IEEE Transactions on Biomedical Engineering, 48(1), pp. 87-95.

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Abstract

Zernike polynomials are often used as an expansion of corneal height data and for analysis of optical wavefronts. Accurate modeling of corneal surfaces with Zernike polynomials involves selecting the order of the polynomial expansion based on the measured data.We have compared the efficacy of various classical model order selection techniques that can be utilized for this purpose, and propose an approach based on the bootstrap. First, it is shown in simulations that the bootstrap method outperforms the classical model order selection techniques. Then, it is proved that the bootstrap technique is the most appropriate method in the context of fitting Zernike polynomials to corneal elevation data, allowing objective selection of the optimal number of Zernike terms. The process of optimal fitting of Zernike polynomials to corneal elevation data is discussed and examples are given for normal corneas and for abnormal corneas with significant distortion. The optimal model order varies as a function of the diameter of the cornea.

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ID Code: 762
Item Type: Journal Article
Refereed: Yes
Keywords: Bootstrap, cornea, model order selection, Zernike polynomials
DOI: 10.1109/10.900255
ISSN: 0018-9294
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Current > QUT Faculties and Divisions > Faculty of Health
Current > Institutes > Institute of Health and Biomedical Innovation
Copyright Owner: Copyright 2001 IEEE
Copyright Statement: Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Deposited On: 02 Mar 2005 00:00
Last Modified: 09 Jun 2010 12:23

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