Union of one-dimensional filtering results f homogenous image and correlated noise using non-causal processing

Authors

  • O. M. Liashuk National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
  • S. Ya. Zhuk National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" http://orcid.org/0000-0002-0046-8450

DOI:

https://doi.org/10.20535/RADAP.2017.68.64-70

Keywords:

uniform image, correlated noise, non-causal image filtration, a posteriori probability density, combine estimates

Abstract

Introduction. The noise signals are spatially correlated in a number of image filtration tasks. Such noises occur in the case of analogue transmission of television signals using the PAL standard, in images demosaicing in digital cameras and in the images obtained using magnetic resonance imaging. The task of filtering speckle in coherent imaging systems such as synthetic aperture radar and an ultrasonic imaging system with certain limitations can be assigned to this class of noise.
The theoretical results. The expression for the joint posterior probability density of pixels at each point with non-causal processing was obtained using the properties of the Markov and conditional independence of image and correlated noise pixels on the row and column. It describes the union procedure of a posteriori distributions at processing pixel calculated at the first stage using an optimal algorithm for nonlinear recursive filtering of dimensional Markov sequences of the row and column from their beginning and end. Algorithm for expectation and the correlation matrix calculation of the joint posterior probability density of pixels is obtained in the case of Gaussian images and correlated noise. Non-causal processing which merges the estimates obtained in the first step of filtering in rows and columns is made for each pixel. Algorithms combined results of one-dimensional image and correleated noise filtering with half-causal and causal processing are the part of the resulting non-causal algorithm.
Experimental results. For the above example the use of developed two-stage non-causal algorithm allows to increase the SNR by 6.1 dB. The information union for the second stage provides a 2.5 dB gain in addition to the gain obtained in the first step in filtration only by rows. Compared to the two-phase half-causal and causal algorithm the non-causal filtering algorithm provided a gain in SNR of 0.59 dB and 1.49 dB, respectively.
Conclusions.The synthesized non-causal algorithm combined results of one-dimensional image and correlated noise filtering allows to take into account all the estimates in the row and column. Estimates intersect at processing point which improves the effectiveness of the processing compared with the algorithms of causal and half-causal two-stage filtration.

Author Biographies

O. M. Liashuk, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Liashuk O. M.

S. Ya. Zhuk, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Zhuk S. Ya.

References

Перечень ссылок

Aelterman J. Suppression of Correlated Noise, Recent Advances in Signal Processing / J. Aelterman, B. Goossens, A. Pizurica and W. Philips. - Intech Computer and Information Science, 2009. - pp. 211-237.

Абрамов С. К. Эффективность фильтрации одновзглядовых РСА-изображений при пространственно-коррелированных помехах / С. К. Абрамов, Р. А. Кожемякин, С. С. Кривенко, Н. Н. Пономаренко, В. В. Лукин // Радіоелектронні і комп’ютерні системи. - 2012. - № 3. - c. 18-25.

Миронов Б. М. Сегментация когерентно-локационных изображений со статистически независимыми элементами / Б. М. Миронов, А. Н. Малов // Компьютерная оптика. - 2008. - Т. 32, № 4. - c. 423-427.

Лукин В. В. Вторичная обработка многовзглядовых и последовательно получаемых изображений в радиолокационных и ультразвуковых медицинских когерентных системах / В.В. Лукин, Н.Н. Пономаренко, И.В. Пискорж, С.В. Поденкова // Радіоелектронні і комп’ютерні системи. - 2003. - № 2. - c. 22-29.

Ляшук А. Н. Двухэтапная каузальная фильтрация однородного изображения при наличии коррелированной помехи / А.Н. Ляшук, С.В. Хамула, С.Я. Жук // Вестник НТУУ <<КПИ>>. Серия Радиотехника. Радиоаппаратостроение. - 2016. - № 66. - с. 19-28.

Грузман И.С. Двухэтапная фильтрация изображений на основе использования ограниченных данных / И.С. Грузман, В.И. Микерин, А.А. Спектор // Радиотехника и электроника. - 1995. - Вып. 5. - c. 817-822.

Тихонов В.И. Статистический анализ и синтез радиотехнических устройств и систем // В.И. Тихонов, В.Н. Харисов. - М. : Радио и связь, 1991. - 608 c.

Жук С.Я. Методы оптимизации дискретных динамических систем со случайной структурой / С.Я. Жук. - К. : НТУУ "КПИ", 2008. - 232 c.

References

Aelterman J., Goossens B., Pizurica A. and Philips W. (2009) Suppression of Correlated Noise, Recent Advances in Signal Processing. Intech Computer and Information Science, pp. 211-237. DOI: 10.5772/7446

Abramov S. K., Kozhemiakin R. O., Krivenko S. S., Ponomarenko N. N., Lukin V. V. (2012) Efficiency Filtering of Single-Look Sar-Images with Spatially Correlated Speckle. Radioelektronni i komp’iuterni systemy, No 3, pp. 18-25. (in Russian)

Mironov B.M. and Malov A.N. (2008) Segmentatsiya kogerentno-lokatsionnykh izobrazhenii so statisticheski nezavisimymi elementami [Segmentation of coherent-location images with statistically independent elements]. Komp'yuternaya optika, Vol. 32, No 4, pp. 423-427.

Lukin V. V., Ponomarenko N.N., Piskorzh I.V. and Podenkova S.V. (2003) Vtorichnaya obrabotka mnogovzglyadovykh i posledovatel'no poluchaemykh izobrazhenii v radiolokatsionnykh i ul'trazvukovykh meditsinskikh kogerentnykh sistemakh [Secondary processing of multiview and sequentially obtained images in radar and ultrasound medical coherent systems]. Radioelektronni i komp’iuterni systemy, No 2, pp. 22-29.

Liashuk, O. М., Khamula, S. V., Zhuk, S. Ya. (2016) Two-stage causal unifrom image filtration with presence of correlated noise. Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 66, pp. 19-28. (in Russian)

Vishnevyy S. V. and Zhuk S. Ya. (2011) Two-stage joint non-causal filtering and segmentation of nonuniform images. Radioelectronics and Communications Systems, Vol 54, No 10, pp. 554-565. DOI: http://dx.doi.org/10.3103/S0735272711100050

Tikhonov V.I. and Kharisov V.N. (1991) Statisticheskii analiz i sintez radiotekhnicheskikh ustroistv i sistem [Statistical analysis and synthesis of radio engineering devices and systems], Moskow, Radio i svyaz', 608 p.

Zhuk S.Ya. (2008) Metody optimizatsii diskretnykh dinamicheskikh sistem so sluchainoi strukturoi [Methods of optimization of discrete dynamical systems with random structure], Kiev, NTUU "KPI", 232 p.

Published

2017-03-30

How to Cite

Ляшук, А. Н. and Жук, С. Я. (2017) “Union of one-dimensional filtering results f homogenous image and correlated noise using non-causal processing”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(68), pp. 64-70. doi: 10.20535/RADAP.2017.68.64-70.

Issue

Section

Computing methods in radio electronics