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Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions

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Published 1 April 2019 • Published under licence by IOP Publishing Ltd
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Author e-mails

mrodrigues@ua.pt

Author affiliations

1 Ophthalmology Unit, Centro Hospitalar e Universitário de Coimbra, Coimbra, Portugal, Centro Cirúrgico de Coimbra, Coimbra, Portugal, Faculty of Medicine, University of Coimbra, Coimbra

2 CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal

Citation

M.M. Rodrigues et al 2019 J. Phys.: Conf. Ser. 1194 012093

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DOI

https://doi.org/10.1088/1742-6596/1194/1/012093

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1742-6596/1194/1/012093

Abstract

In this paper the application of Zernike, Bessel and Chebyshev functions is studied and the results are compared when modeling ophthalmic surfaces in visual optics. The total RMS error is presented when addressing capability of these functions in fitting with different surfaces. It is shown that Chebyshev polynomials could be appropriate alternatives of the Zernike polynomials to represent complete anterior corneal surfaces.

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