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Model-order selection in Zernike polynomial expansion of corneal surfaces using the efficient detection criterion

Alkhaldi, Weaam, Iskander, D. Robert, & Zoubir, Abdelhak M. (2010) Model-order selection in Zernike polynomial expansion of corneal surfaces using the efficient detection criterion. IEEE Transactions on Biomedical Engineering, 57(10), pp. 2429-2437.

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Abstract

Corneal-height data are typically measured with videokeratoscopes and modeled using a set of orthogonal Zernike polynomials. We address the estimation of the number of Zernike polynomials, which is formalized as a model-order selection problem in linear regression. Classical information-theoretic criteria tend to overestimate the corneal surface due to the weakness of their penalty functions, while bootstrap-based techniques tend to underestimate the surface or require extensive processing. In this paper, we propose to use the efficient detection criterion (EDC), which has the same general form of information-theoretic-based criteria, as an alternative to estimating the optimal number of Zernike polynomials. We first show, via simulations, that the EDC outperforms a large number of information-theoretic criteria and resampling-based techniques. We then illustrate that using the EDC for real corneas results in models that are in closer agreement with clinical expectations and provides means for distinguishing normal corneal surfaces from astigmatic and keratoconic surfaces.

Impact and interest:

3 citations in Scopus
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2 citations in Web of Science®

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ID Code: 40027
Item Type: Journal Article
Keywords: bootstrap, corneal-height data, hook-and-loop (HL), resampling plane, information-theoretic criteria, model order estimation, Zernike polynomials
DOI: 10.1109/TBME.2010.2050770
ISSN: 0018-9294
Subjects: Australian and New Zealand Standard Research Classification > MEDICAL AND HEALTH SCIENCES (110000) > OPTOMETRY AND OPHTHALMOLOGY (111300)
Divisions: Current > QUT Faculties and Divisions > Faculty of Health
Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Optometry & Vision Science
Deposited On: 11 Feb 2011 07:43
Last Modified: 11 Aug 2011 04:41

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