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.

View at publisher

Abstract

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.

Impact and interest:

44 citations in Scopus
Search Google Scholar™
36 citations in Web of Science®

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

453 since deposited on 02 Mar 2005
7 in the past twelve months

Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

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

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page