Homomorphic Two-Stage Image Sequence Filtering Algorithm in the Presence of Correlated Speckle Noise

Authors

  • O. M. Liashuk National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
  • S. V. Vishnevyy 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.2017.71.52-59

Keywords:

image sequence, homomorphic transformation, image filtration, combine estimates, a posteriori probability density

Abstract

Introduction. An images received from synthetic-aperture radar and ultrasonic medical coherent systems are distorted by speckle noise which can be spatially correlated. Sequence frame processing is applied due to poor quality of source images. The large number of filters for processing the images distorted by a multiplicative speckle noise were developed at the present time. Most of existing filters don’t take into account spatial correlation in the speckle noise which leads to lower efficiency of noise suppression. Image sequence processing leads to processed data volume increase. Thus, a problem of computing complexity and practical implementability of the filtering algorithms used for speckle noise suppression is even more relevant.
Theoretical results. The task of filtering the sequence of images in the presence of correlated speckle noise becomes the task of filtering a signal component in the presence of the additive correlated noise as a result of homomorphic transformation. An expression for posteriori probability density of signal component pixel and the correlated noise pixel in each point of the sequence of images was created using property of the conditional independence. It’s used for combining received posterior distributions at the first stage as a result of executing one-dimensional non-linear filtering. The algorithm of computation of mathematical expectation and correlation matrix of joint posteriori probability density of a signal and correlated noise pixels in each point for a case of gaussian posterior distributions for non-causal intraframe and causal interframe processing is synthesized.
Experimental results. The developed algorithm allows to receive a gain in signal-to-noise ratio in 5.8-1 dB for a model example by processing from one to five frames compared to interframe averaging algorithm. The number of segmentation errors for the images filtered by Otsu algorithm using three frames is 2 % for the developed algorithm and 18 % for interframe averaging.
Conclusion. The homomorphic two-stage filtering algorithm of the sequence of images in the presence of correlated speckle noise was developed. It uses two-stage joint filtering of a signal component and the additive correlated noise with intraframe not causal and interframe causal processing after homomorphic transformation.

Author Biographies

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

Liashuk O. M., M.S., Postgraduate student

S. V. Vishnevyy, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Vishnevyy S. V., Cand. of Sci(Techn)

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

Zhuk S. Ya., D. of Sci(Techn.), Prof.

References

Перечень ссылок

Верба В.С. Радиолокационные системы землеобзора космического базирования / В.С. Верба , Л.Б. Неронский , И.Г. Осипов, В.Э. Турук. - М. : Радиотехника, 2010. - 680 с.

Білинський Й. Й. Математична модель спекл-шуму та аналіз фільтрів обробки УЗД-зображень / Білинський Й.Й., А.О. Мельничук, О.А. Павлюк // Вимірювальна та обчислювальна техніка в технологічних процесах. - 2011. - № 2. - с. 152-157.

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.

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.

Грузман И.С. Двухэтапная фильтрация изображений на основе использования ограниченных данных / И.С. Грузман, В.И. Микерин , А.А. Спектор // Радиотехника и электроника. - 1995. - № 5. - с. 817-822.

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.

Ляшук А. Н. Объединение результатов одномерной фильтрации однородного изображения и коррелированной помехи при некаузальной обработке / А.Н. Ляшук, С.Я. Жук // Вестник НТУУ «КПИ». Серия Радиотехника. Радиоаппаратостроение. - 2017. - № 68. - с. 64-70.

Глазов Г.Н. Моделирование дискретных гауссовых случайных полей / Г.Н. Глазов, А.Г. Костевич // Интеллектуальные системы в управлении, конструировании и образовании. - 2002. - Вып. 2. - с. 19-27.

Родионова Н.В. Способы подавления спекл-шума в радиолокационном изображении / Н.В. Родионова, В.П. Синило // Автометрия. - 1993. - №5. - с. 96-102.

Nobuyuki Otsu A Threshold Selection Method from Gray-Level Histograms // IEEE Transactions on Systems, Man and Cybernetics In N/A.~1979.-- Vol. 9, No. 1. - pp. 62-66.

References

Verba V.S., Neronskii L.B., Osipov I.G. and Turuk V.E. (2010) Radiolokatsionnye sistemy zemleobzora kosmicheskogo bazirovaniya [Earth-born space radar systems], Moskow, Radiotekhnika, 680 p.

Bilynskyi I. I., Melnychuk A.O. and Pavliuk O.A. (2011) Matematychna model spekl-shumu ta analiz filtriv obrobky UZD-zobrazhen [Mathematical model of speckle noise and analysis of ultrasound image processing filters]. Measuring and computing devices in technological processes, No 3, pp. 152-157. (in Russian)

Abramov S. K., Kozhemyakin R. A., Krivenko S. S., Ponomarenko N. N. and 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)

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.

Gruzman I. S., Mikerin V. I. and Spektor A. A. (1995) Dvukhetapnaya fil'tratsiya izobrazhenii na osnove ispol'zovaniya ogranichennykh dannykh [Two-stage image filtering based on the use of limited data]. Radiotekhnika i elektronika, No 5, pp. 817-822.

Liashuk O. М., Khamula S. V. and Zhuk S. Ya. (2016) Two-stage causal unifrom image filtration with presence of correlated noise. Visnyk NTUU KPI Seriia -- Radiotekhnika Radioaparatobuduvannia, No. 66, pp. 19-28. (in Russian)

Liashuk, O. M. and Zhuk, S. Ya. (2017) Union of one-dimensional filtering results f homogenous image and correlated noise using non-causal processing. Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, No. 68, pp. 64-70. (in Russian)

Glazov G.N., Kostevich A.G. and Shelupanov A. A. eds. (2002) Modelirovanie diskretnykh gaussovykh sluchainykh polei [Gaussian random discrete field modelling]. Intellektual'nye sistemy v upravlenii, konstruirovanii i obrazovanii, Iss. 2, Tomsk, STT, pp. 19-27.

Rodionova N.V. and Sinilo V.P. (1993) Sposoby podavleniya spekl-shuma v radiolokatsionnom izobrazhenii [Methods for suppressing speckle noise in a radar image]. Avtometriya, No 5, pp. 96-102.

Nobuyuki Otsu (1979) A Threshold Selection Method from Gray-Level Histograms. IEEE Transactions on Systems, Man and Cybernetics In N/A, Vol. 9, No. 1, pp. 62-66. DOI: 10.1109/tsmc.1979.4310076

Published

2017-12-30

How to Cite

Ляшук, А. Н., Вишневый, С. В. and Жук, С. Я. (2017) “Homomorphic Two-Stage Image Sequence Filtering Algorithm in the Presence of Correlated Speckle Noise”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(71), pp. 52-59. doi: 10.20535/RADAP.2017.71.52-59.

Issue

Section

Computing methods in radio electronics

Most read articles by the same author(s)

1 2 > >>