Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions | Zendy

M. M. Rodrigues | Zendy; Andreia Rosa | Zendy; N. Vieira | Zendy; Joaquim Murta | Zendy

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Modeling ophthalmic surfaces using Zernike, Bessel and Chebyshev type functions

Author(s) -

M. M. Rodrigues,

Andreia Rosa,

N. Vieira,

Joaquim Murta

Publication year - 2019

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/1194/1/012093

Subject(s) - zernike polynomials , chebyshev polynomials , bessel function , chebyshev filter , mathematics , bessel polynomials , optics , mathematical analysis , classical orthogonal polynomials , physics , orthogonal polynomials , gegenbauer polynomials , wavefront

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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