Fourier–Zernike Series of Convolutions on Disks
This paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/6/12/290 |
| _version_ | 1818539486497210368 |
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| author | Arash Ghaani Farashahi Gregory S. Chirikjian |
| author_facet | Arash Ghaani Farashahi Gregory S. Chirikjian |
| author_sort | Arash Ghaani Farashahi |
| collection | DOAJ |
| description | This paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions. |
| first_indexed | 2024-12-11T21:42:41Z |
| format | Article |
| id | doaj.art-de7f0954c94d416b8ab9b61ede588ab1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-11T21:42:41Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-de7f0954c94d416b8ab9b61ede588ab12022-12-22T00:49:46ZengMDPI AGMathematics2227-73902018-11-0161229010.3390/math6120290math6120290Fourier–Zernike Series of Convolutions on DisksArash Ghaani Farashahi0Gregory S. Chirikjian1Laboratory for Computational Sensing and Robotics (LCSR), Whiting School of Engineering, Johns Hopkins University, Baltimore, MD 21218-2608, USALaboratory for Computational Sensing and Robotics (LCSR), Whiting School of Engineering, Johns Hopkins University, Baltimore, MD 21218-2608, USAThis paper presents a systematic study of the analytic aspects of Fourier⁻Zernike series of convolutions of functions supported on disks. We then investigate different aspects of the presented theory in the cases of zero-padded functions.https://www.mdpi.com/2227-7390/6/12/290convolutionZernike polynomialsFourier–Zernike series |
| spellingShingle | Arash Ghaani Farashahi Gregory S. Chirikjian Fourier–Zernike Series of Convolutions on Disks Mathematics convolution Zernike polynomials Fourier–Zernike series |
| title | Fourier–Zernike Series of Convolutions on Disks |
| title_full | Fourier–Zernike Series of Convolutions on Disks |
| title_fullStr | Fourier–Zernike Series of Convolutions on Disks |
| title_full_unstemmed | Fourier–Zernike Series of Convolutions on Disks |
| title_short | Fourier–Zernike Series of Convolutions on Disks |
| title_sort | fourier zernike series of convolutions on disks |
| topic | convolution Zernike polynomials Fourier–Zernike series |
| url | https://www.mdpi.com/2227-7390/6/12/290 |
| work_keys_str_mv | AT arashghaanifarashahi fourierzernikeseriesofconvolutionsondisks AT gregoryschirikjian fourierzernikeseriesofconvolutionsondisks |