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Statements

Subject Item
n2:RIV%2F68407700%3A21260%2F13%3A00210962%21RIV14-GA0-21260___
rdf:type
n6:Vysledek skos:Concept
rdfs:seeAlso
http://www.europment.net/library/2013/
dcterms:description
The Zernike polynomials are known in optical physics, and they are used for the various diffractions and aberrations problems of lenses. They are defined on a circle, so that their representation decouples radial and axial coordinates. It is know that the Zernike radial polynomials are represented through Jacobi polynomials. This paper deals with Chebyshev expansions for Jacobi polynomials. We have developed the recursive evaluation for spectral coefficients used in these expansions. These consequently provide a straightforward interpretation of Fourier transform of Zernike polynomials. The Zernike polynomials are known in optical physics, and they are used for the various diffractions and aberrations problems of lenses. They are defined on a circle, so that their representation decouples radial and axial coordinates. It is know that the Zernike radial polynomials are represented through Jacobi polynomials. This paper deals with Chebyshev expansions for Jacobi polynomials. We have developed the recursive evaluation for spectral coefficients used in these expansions. These consequently provide a straightforward interpretation of Fourier transform of Zernike polynomials.
dcterms:title
Zernike Polynomials and their Spectral Representation Zernike Polynomials and their Spectral Representation
skos:prefLabel
Zernike Polynomials and their Spectral Representation Zernike Polynomials and their Spectral Representation
skos:notation
RIV/68407700:21260/13:00210962!RIV14-GA0-21260___
n6:predkladatel
n16:orjk%3A21260
n3:aktivita
n20:P
n3:aktivity
P(GAP102/11/1795)
n3:dodaniDat
n17:2014
n3:domaciTvurceVysledku
n10:8590060
n3:druhVysledku
n14:D
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
118692
n3:idVysledku
RIV/68407700:21260/13:00210962
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Zernike polynomials; Jacobi polynomials; recursive algorithms; robust representation
n3:klicoveSlovo
n8:robust%20representation n8:recursive%20algorithms n8:Zernike%20polynomials n8:Jacobi%20polynomials
n3:kontrolniKodProRIV
[165869409FD9]
n3:mistoKonaniAkce
Venice
n3:mistoVydani
Venice
n3:nazevZdroje
Proceedings of the 2013 International Conference on Electronics, Signal Processing and Communication Systems (ESPCO 2013)
n3:obor
n7:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:GAP102%2F11%2F1795
n3:rokUplatneniVysledku
n17:2013
n3:tvurceVysledku
Vlček, Miroslav Sovka, Pavel
n3:typAkce
n13:WRD
n3:zahajeniAkce
2013-09-28+02:00
s:numberOfPages
5
n11:hasPublisher
EUROPMENT, European Society for Applied Sciences and Development
n22:isbn
978-1-61804-207-1
n23:organizacniJednotka
21260