Efficient and stable numerical method for evaluation of Zernike polynomials and their Cartesian derivatives
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00208597" target="_blank" >RIV/68407700:21110/13:00208597 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1117/12.2020389" target="_blank" >http://dx.doi.org/10.1117/12.2020389</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1117/12.2020389" target="_blank" >10.1117/12.2020389</a>
Alternative languages
Result language
angličtina
Original language name
Efficient and stable numerical method for evaluation of Zernike polynomials and their Cartesian derivatives
Original language description
The work deals with the problem calculation of Zernike polynomial values and their Cartesian derivatives. Efficient and numerically stable method based on recurrence relations is proposed. It is shown that the proposed recurrence based method is very fast and much more numerically stable than the calculation using the explicit analytical relations.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-31765S" target="_blank" >GA13-31765S: Active membrane fluidic optical elements</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 SPIE Vol. 8789
ISBN
978-0-8194-9605-8
ISSN
0277-786X
e-ISSN
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Number of pages
8
Pages from-to
"878913-1"-"878913-8"
Publisher name
SPIE
Place of publication
Bellingham (stát Washington)
Event location
Mnichov
Event date
May 13, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000323511700037