Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange
This article is concerned with synthesizing filter with finite impulse response (FIR-filters) employed to correct radially symmetric distortions such as defocusing. We propose a new parametric class of finite impulse response filters (FIR-filters) based on a model of the one-dimensional radially sy...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2018-04-01
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| Series: | Компьютерная оптика |
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| Online Access: | http://computeroptics.smr.ru/KO/PDF/KO42-2/420216.pdf |
| _version_ | 1818258867099795456 |
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| author | Vladimir Fursov |
| author_facet | Vladimir Fursov |
| author_sort | Vladimir Fursov |
| collection | DOAJ |
| description | This article is concerned with synthesizing filter with finite impulse response (FIR-filters) employed to correct radially symmetric distortions such as defocusing. We propose a new parametric class of finite impulse response filters (FIR-filters) based on a model of the one-dimensional radially symmetric frequency response. In the proposed method, the one-dimensional frequency response is composed of quadratic and exponential functions. The two-dimensional impulse response of the filter is constructed by sampling one-dimensional impulse responses for all directions. The development consists in introducing an extended mid-frequency region of the frequency response, thus increasing the contribution of the frequencies to image correction. Examples are given in order to illustrate the possibility of the high-quality distortion correction. In particular, it is shown that the proposed method provides the restoration quality higher than that obtained when using an optimal Wiener filter (taken from OpenCV). |
| first_indexed | 2024-12-12T18:06:22Z |
| format | Article |
| id | doaj.art-e93ffe812d0446e6b2bc71339a36ff0e |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-12-12T18:06:22Z |
| publishDate | 2018-04-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-e93ffe812d0446e6b2bc71339a36ff0e2022-12-22T00:16:28ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792018-04-0142229730510.18287/2412-6179-2018-42-2-297-305Constructing a quadratic-exponential FIR-filter with an extended frequency response midrangeVladimir Fursov0Image Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia Samara National Research University, Samara, RussiaThis article is concerned with synthesizing filter with finite impulse response (FIR-filters) employed to correct radially symmetric distortions such as defocusing. We propose a new parametric class of finite impulse response filters (FIR-filters) based on a model of the one-dimensional radially symmetric frequency response. In the proposed method, the one-dimensional frequency response is composed of quadratic and exponential functions. The two-dimensional impulse response of the filter is constructed by sampling one-dimensional impulse responses for all directions. The development consists in introducing an extended mid-frequency region of the frequency response, thus increasing the contribution of the frequencies to image correction. Examples are given in order to illustrate the possibility of the high-quality distortion correction. In particular, it is shown that the proposed method provides the restoration quality higher than that obtained when using an optimal Wiener filter (taken from OpenCV).http://computeroptics.smr.ru/KO/PDF/KO42-2/420216.pdfFIR-Filterimpulse responsefrequency responseimage processing |
| spellingShingle | Vladimir Fursov Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange Компьютерная оптика FIR-Filter impulse response frequency response image processing |
| title | Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange |
| title_full | Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange |
| title_fullStr | Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange |
| title_full_unstemmed | Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange |
| title_short | Constructing a quadratic-exponential FIR-filter with an extended frequency response midrange |
| title_sort | constructing a quadratic exponential fir filter with an extended frequency response midrange |
| topic | FIR-Filter impulse response frequency response image processing |
| url | http://computeroptics.smr.ru/KO/PDF/KO42-2/420216.pdf |
| work_keys_str_mv | AT vladimirfursov constructingaquadraticexponentialfirfilterwithanextendedfrequencyresponsemidrange |