Fast Zernike fitting of freeform surfaces using the Gauss-Legendre quadrature
Year: 2024
Type: article
Abstract: Zernike polynomial orthogonality, an established mathematical principle, is leveraged with the Gauss-Legendre quadrature rule in a rapid novel approach to fitting data over a circular domain. This approach provides significantly faster fitting speeds, in the order of thousands of times, while maintaining comparable error rates achieved with conventional least-square fitting techniques. We demonstrate the technique for fitting mid-spatial-frequencies (MSF) prevalent in small-tool-manufacturing typical of aspheric and freeform optics that are poised to soon permeate a wide range of optical technologies.
Source: Optics Express
DOI: 10.1364/oe.523022
Authors: Yiwen Fan, G. W. Forbes, Jannick P. Rolland
Institutions: University of Rochester, Macquarie University
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,270
Funder: National Science Foundation
Awards: IUCRC Phase III University of Rochester: Center for Freeform Optics (CeFO), Phase II IUCRC at University of Rochester: Center for Freeform Optics, Phase II IUCRC at University of North Carolina, Charlotte: Center for Freeform Optics (CeFO), IUCRC Phase III University of North Carolina at Charlotte: Center for Freeform Optics (CeFO)
OpenAlex ID: W4396661413