CLOSED CARTESIAN REPRESENTATION OF THE ZERNIKE POLYNOMIALS

Authors
CARPIO M MALACARA D
Citation
M. Carpio et D. Malacara, CLOSED CARTESIAN REPRESENTATION OF THE ZERNIKE POLYNOMIALS, Optics communications, 110(5-6), 1994, pp. 514-516
Citations number
8
Categorie Soggetti
Optics
Journal title
Optics communications → ACNP
ISSN journal
00304018
Volume
110
Issue
5-6
Year of publication
1994
Pages
514 - 516
Database
ISI
SICI code
0030-4018(1994)110:5-6<514:CCROTZ>2.0.ZU;2-E
Abstract
A general closed representation is presented of Zernike polynomials in cartesian coordinates. This form substantially increases the precisio n of numerical calculations when x-y coordinates are used to sample an interferogram, by avoiding any numerical conversions from cartesian t o polar coordinates.