Modeling of Corneal Surfaces With Radial Polynomials

Iskander, D. Robert, Morelande, Mark R., Collins, Michael J., & Davis, Brett A. (2002) Modeling of Corneal Surfaces With Radial Polynomials. IEEE Transactions on Biomedical Engineering, 49(4), pp. 320-328.

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We consider analytical modeling of the anterior corneal surface with a set of orthogonal basis functions that are a product of radial polynomials and angular functions. Several candidate basis functions were chosen from the repertoire of functions that are orthogonal in the unit circle and invariant in form with respect to rotation about the origin. In particular, it is shown that a set of functions that is referred herein as Bhatia–Wolf polynomials, represents a better and more robust alternative for modeling corneal elevation data than traditionally used Zernike polynomials. Examples of modeling corneal elevation are given for normal corneas and for abnormal corneas with significant distortion.

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47 citations in Scopus
40 citations in Web of Science®
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ID Code: 761
Item Type: Journal Article
Refereed: Yes
Keywords: Cornea, model selection, radial polynomials, Zernike polynomials
DOI: 10.1109/10.991159
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 2002 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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