Zernike Polynomials and their Spectral Representation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00210962" target="_blank" >RIV/68407700:21230/13:00210962 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21260/13:00210962
Result on the web
<a href="http://www.europment.net/library/2013/" target="_blank" >http://www.europment.net/library/2013/</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Zernike Polynomials and their Spectral Representation
Original language 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 consequentlyprovide a straightforward interpretation of Fourier transform of Zernike polynomials.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP102%2F11%2F1795" target="_blank" >GAP102/11/1795: Novel selective transforms for non-stationary signal processing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 2013 International Conference on Electronics, Signal Processing and Communication Systems (ESPCO 2013)
ISBN
978-1-61804-207-1
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
21-25
Publisher name
EUROPMENT, European Society for Applied Sciences and Development
Place of publication
Venice
Event location
Venice
Event date
Sep 28, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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