Universidad Complutense de Madrid
E-Prints Complutense

Robust fitting of Zernike polynomials to noisy point clouds defined over connected domains of arbitrary shape

Impacto

Descargas

Último año



Rodríguez Ibáñez, Diego y Gómez Pedrero, José Antonio y Alonso Fernández, José y Quiroga Mellado, Juan Antonio (2016) Robust fitting of Zernike polynomials to noisy point clouds defined over connected domains of arbitrary shape. Optics Express, 24 (6). pp. 5918-5933. ISSN 1094-4087

[img]
Vista previa
PDF (En abierto en la web del editor)
3MB

URL Oficial: https://www.osapublishing.org/oe/abstract.cfm?uri=oe-24-6-5918



Resumen

A new method for fitting a series of Zernike polynomials to point clouds defined over connected domains of arbitrary shape defined within the unit circle is presented in this work. The method is based on the application of machine learning fitting techniques by constructing an extended training set in order to ensure the smooth variation of local curvature over the whole domain. Therefore this technique is best suited for fitting points corresponding to ophthalmic lenses surfaces, particularly progressive power ones, in non-regular domains. We have tested our method by fitting numerical and real surfaces reaching an accuracy of 1 micron in elevation and 0.1 D in local curvature in agreement with the customary tolerances in the ophthalmic manufacturing industry.


Tipo de documento:Artículo
Información Adicional:

En abierto en la web del editor.
Received 7 Oct 2015; revised 4 Feb 2016; accepted 9 Feb 2016; published 9 Mar 2016
© 2016 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.

Palabras clave:Surfaces ; Aspherics ; Ophthalmic optics and devices ; Algorithms ; Artificial intelligence ; Learning systems ; Numerical methods ; Arbitrary shape ; Connected domains ; Fitting techniques ; Local curvature ; Manufacturing industries ; Ophthalmic lens ; Robust fittings ; Zernike polynomials
Materias:Ciencias > Física > Optica
Ciencias Biomédicas > Óptica y optometría > Óptica oftálmica
Ciencias Biomédicas > Óptica y optometría > Optoelectrónica
Código ID:37782
Depositado:20 May 2016 07:51
Última Modificación:09 Mar 2017 00:01

Descargas en el último año

Sólo personal del repositorio: página de control del artículo