Implementation of Smoothing Image Filtering in the Residue Number System

In this paper, we propose a new method for image smoothing using the Residue Number System (RNS). The essence of the approach is to replace the computationally complex division operation in RNS with the multiplication of all fractional numbers by a power of two and rounding off. As a result of these...

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Auteurs principaux:	Chervyakov, N. I., Червяков, Н. И., Lyakhov, P. A., Ляхов, П. А., Nagornov, N. N., Нагорнов, Н. Н.
Format:	Статья
Langue:	English
Publié:	Institute of Electrical and Electronics Engineers Inc. 2019
Sujets:	Digital image processing Residue number system (RNS) Smoothing filter Image processing
Accès en ligne:	https://www.scopus.com/record/display.uri?eid=2-s2.0-85073897518&origin=resultslist&sort=plf-f&src=s&st1=Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System&st2=&sid=c1f04c282b748add6a7e93b2548659ee&sot=b&sdt=b&sl=87&s=TITLE-ABS-KEY%28Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System%29&relpos=0&citeCnt=0&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/8328
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spelling	ir-20.500.12258-83282020-02-14T12:32:11Z Implementation of Smoothing Image Filtering in the Residue Number System Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Nagornov, N. N. Нагорнов, Н. Н. Digital image processing Residue number system (RNS) Smoothing filter Image processing In this paper, we propose a new method for image smoothing using the Residue Number System (RNS). The essence of the approach is to replace the computationally complex division operation in RNS with the multiplication of all fractional numbers by a power of two and rounding off. As a result of these actions, all subsequent calculations are performed only in fixed-point numbers. Theoretical and practical studies have shown that when a certain accuracy of calculations is achieved, the error that occurs during rounding does not significantly affect the result of filtering an image. It opens the possibility of effective hardware implementation on FPGA and ASIC 2019-11-13T14:05:22Z 2019-11-13T14:05:22Z 2019 Статья Chervyakov, N.I., Lyakhov, P.A., Nagornov, N.N., Kaplun, D.I., Voznesenskiy, A.S., Bogayevskiy, D.V. Implementation of Smoothing Image Filtering in the Residue Number System // 2019 8th Mediterranean Conference on Embedded Computing, MECO 2019 - Proceedings. - 2019. - Номер статьи 8760190. - Стр.: 407-410 https://www.scopus.com/record/display.uri?eid=2-s2.0-85073897518&origin=resultslist&sort=plf-f&src=s&st1=Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System&st2=&sid=c1f04c282b748add6a7e93b2548659ee&sot=b&sdt=b&sl=87&s=TITLE-ABS-KEY%28Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System%29&relpos=0&citeCnt=0&searchTerm= http://hdl.handle.net/20.500.12258/8328 en 2019 8th Mediterranean Conference on Embedded Computing, MECO 2019 - Proceedings application/pdf application/pdf Institute of Electrical and Electronics Engineers Inc.
institution	СКФУ
collection	Репозиторий
language	English
topic	Digital image processing Residue number system (RNS) Smoothing filter Image processing
spellingShingle	Digital image processing Residue number system (RNS) Smoothing filter Image processing Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Nagornov, N. N. Нагорнов, Н. Н. Implementation of Smoothing Image Filtering in the Residue Number System
description	In this paper, we propose a new method for image smoothing using the Residue Number System (RNS). The essence of the approach is to replace the computationally complex division operation in RNS with the multiplication of all fractional numbers by a power of two and rounding off. As a result of these actions, all subsequent calculations are performed only in fixed-point numbers. Theoretical and practical studies have shown that when a certain accuracy of calculations is achieved, the error that occurs during rounding does not significantly affect the result of filtering an image. It opens the possibility of effective hardware implementation on FPGA and ASIC
format	Статья
author	Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Nagornov, N. N. Нагорнов, Н. Н.
author_facet	Chervyakov, N. I. Червяков, Н. И. Lyakhov, P. A. Ляхов, П. А. Nagornov, N. N. Нагорнов, Н. Н.
author_sort	Chervyakov, N. I.
title	Implementation of Smoothing Image Filtering in the Residue Number System
title_short	Implementation of Smoothing Image Filtering in the Residue Number System
title_full	Implementation of Smoothing Image Filtering in the Residue Number System
title_fullStr	Implementation of Smoothing Image Filtering in the Residue Number System
title_full_unstemmed	Implementation of Smoothing Image Filtering in the Residue Number System
title_sort	implementation of smoothing image filtering in the residue number system
publisher	Institute of Electrical and Electronics Engineers Inc.
publishDate	2019
url	https://www.scopus.com/record/display.uri?eid=2-s2.0-85073897518&origin=resultslist&sort=plf-f&src=s&st1=Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System&st2=&sid=c1f04c282b748add6a7e93b2548659ee&sot=b&sdt=b&sl=87&s=TITLE-ABS-KEY%28Implementation+of+Smoothing+Image+Filtering+in+the+Residue+Number+System%29&relpos=0&citeCnt=0&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/8328
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Implementation of Smoothing Image Filtering in the Residue Number System

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