Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25920
Title: | The orthogonality of the fractional circle polynomials and its application in modeling of ophthalmic surfaces |
Author: | Rodrigues, Maria Manuela Fernandes Vieira, Nelson Felipe |
Keywords: | Zernike polynomials Fractional circle polynomials ophthalmic surfaces |
Issue Date: | 2019 |
Publisher: | IOP Publishing |
Abstract: | In this paper we establish some new fractional differential properties for a class of fractional circle polynomials. We apply the Zernike polynomials and a new class of fractional circle polynomials in modeling ophthalmic surfaces in visual optics and we compare the obtained results. The total RMS error is presented when addressing capability of these functions in fitting with surfaces, and it is showed that the new fractional circle polynomials can be used as an alternative to the Zernike Polynomials to represent the complete anterior corneal surface. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25920 |
DOI: | 10.1088/1742-6596/1194/1/012094 |
ISSN: | 1742-6588 |
Publisher Version: | https://iopscience.iop.org/article/10.1088/1742-6596/1194/1/012094 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Rodrigues_2019_J._Phys.__Conf._Ser._1194_012094.pdf | 464.04 kB | Adobe PDF | View/Open |
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