2-D Generating Function of the Zernike Polynomials and their Application for Image Classification
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00511257" target="_blank" >RIV/67985556:_____/19:00511257 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/IPTA.2019.8936089" target="_blank" >http://dx.doi.org/10.1109/IPTA.2019.8936089</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/IPTA.2019.8936089" target="_blank" >10.1109/IPTA.2019.8936089</a>
Alternative languages
Result language
angličtina
Original language name
2-D Generating Function of the Zernike Polynomials and their Application for Image Classification
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 discretetime 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. Since Zernike moments (ZMs) are invariant with respect to rotation, translation and scaling, the experimental schemes show the image classification applications by using the proposed algorithm.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
Article name in the collection
Proceedings of the 9th International Conference on Image Processing Theory, Tools and Applications IPTA 2019
ISBN
978-1-7281-3975-3
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
IEEE
Place of publication
Piscataway
Event location
Istanbul
Event date
Nov 6, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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