Optimal sampling patterns for Zernike polynomials

dc.contributor.author	Ramos López, Darío
dc.date.accessioned	2018-02-09T08:44:33Z
dc.date.available	2018-02-09T08:44:33Z
dc.date.issued	2016
dc.identifier.issn	0096-3003
dc.identifier.uri	http://hdl.handle.net/10835/5616
dc.description.abstract	A pattern of interpolation nodes on the disk is studied, for which the inter- polation problem is theoretically unisolvent, and which renders a minimal numerical condition for the collocation matrix when the standard basis of Zernike polynomials is used. It is shown that these nodes have an excellent performance also from several alternative points of view, providing a numer- ically stable surface reconstruction, starting from both the elevation and the slope data. Sampling at these nodes allows for a more precise recovery of the coefficients in the Zernike expansion of a wavefront or of an optical surface. Keywords: Interpolation Numerical condition Zernike polynomials Lebesgue constants	es_ES
dc.language.iso	en	es_ES
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	Optimal sampling patterns for Zernike polynomials	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.identifier.doi	http://dx.doi.org/10.1016/j.amc.2015.11.006

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