Filter-generating system of Zernike polynomials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00507092" target="_blank" >RIV/67985556:_____/19:00507092 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31160/19:00054869
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0005109819303590" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0005109819303590</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.automatica.2019.108498" target="_blank" >10.1016/j.automatica.2019.108498</a>
Alternative languages
Result language
angličtina
Original language name
Filter-generating system of Zernike polynomials
Original language description
This work proposes a new approach to find the generating function (GF) of the Zernike polynomials in two dimensional form. Combining the methods of GFs and discrete-time systems, we can develop two dimensional digital systems for systematic generation of entire orders of Zernike polynomials. We establish two different formulas for the GF of the radial Zernike polynomials based on both the degree and the azimuthal order of the radial polynomials. In this paper, we use four terms recurrence relation instead of the ordinary three terms recursion to calculate the radial Zernike polynomials and their GFs using unilateral 2D Z-transform. A spatio-temporal implementation scheme is developed for generation of the radial Zernike polynomials. The case study shows a reliable way to evaluate Zernike polynomials with arbitrary degrees and azimuthal orders.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20206 - Computer hardware and architecture
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Automatica
ISSN
0005-1098
e-ISSN
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Volume of the periodical
108
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
10
Pages from-to
108498
UT code for WoS article
000483631400021
EID of the result in the Scopus database
2-s2.0-85069633891