| bibtype |
J -
Journal Article
|
| ARLID |
0507092 |
| utime |
20240103222341.4 |
| mtime |
20190731235959.9 |
| SCOPUS |
85069633891 |
| WOS |
000483631400021 |
| DOI |
10.1016/j.automatica.2019.108498 |
| title
(primary) (eng) |
Filter-generating system of Zernike polynomials |
| specification |
| page_count |
10 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0256218 |
| ISSN |
0005-1098 |
| title
|
Automatica |
| volume_id |
108 |
| publisher |
|
|
| keyword |
Optics |
| keyword |
Zernike polynomials |
| keyword |
Filter-generating systems |
| keyword |
Generating function |
| keyword |
Z-transform |
| author
(primary) |
| ARLID |
cav_un_auth*0347018 |
| name1 |
Honarvar Shakibaei Asli |
| name2 |
Barmak |
| institution |
UTIA-B |
| full_dept (cz) |
Zpracování obrazové informace |
| full_dept (eng) |
Department of Image Processing |
| department (cz) |
ZOI |
| department (eng) |
ZOI |
| full_dept |
Department of Image Processing |
| country |
MY |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101087 |
| name1 |
Flusser |
| name2 |
Jan |
| institution |
UTIA-B |
| full_dept (cz) |
Zpracování obrazové informace |
| full_dept |
Department of Image Processing |
| department (cz) |
ZOI |
| department |
ZOI |
| full_dept |
Department of Image Processing |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0293042 |
| name1 |
Zhao |
| name2 |
Y. |
| country |
GB |
|
| author
|
| ARLID |
cav_un_auth*0377796 |
| name1 |
Erkoyuncu |
| name2 |
J. A. |
| country |
GB |
|
| source |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0360230 |
| project_id |
GJ18-26018Y |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0360229 |
| project_id |
GA18-07247S |
| agency |
GA ČR |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
JD |
| FORD0 |
20000 |
| FORD1 |
20200 |
| FORD2 |
20206 |
| reportyear |
2020 |
| num_of_auth |
4 |
| mrcbC52 |
4 A hod sml 4ah 4as 20231122144145.1 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0298165 |
| mrcbC61 |
1 |
| mrcbC64 |
1 Department of Image Processing UTIA-B 10200 COMPUTER SCIENCE, THEORY & METHODS |
| confidential |
S |
| contract |
| name |
Journal Publishing And Licensing Agreement |
| date |
20190724 |
| note |
Publishing And Licensing Agreement |
|
| article_num |
108498 |
| mrcbC86 |
3+4 Article Automation Control Systems|Engineering Electrical Electronic |
| mrcbC91 |
A |
| mrcbT16-e |
AUTOMATIONCONTROLSYSTEMS|ENGINEERINGELECTRICALELECTRONIC |
| mrcbT16-j |
2.35 |
| mrcbT16-s |
3.984 |
| mrcbT16-B |
96.66 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2019 |
| mrcbTft |
\nSoubory v repozitáři: flusser-0507092.pdf, flusser-0507092-Publishing And Licensing Agreement.pdf |
| mrcbU14 |
85069633891 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000483631400021 WOS |
| mrcbU63 |
cav_un_epca*0256218 Automatica 0005-1098 1873-2836 Roč. 108 č. 1 2019 Elsevier |
|