Families of Heron digital filters for images filtering / Ostheimer E., Labunets V., Myasnikov F. // CEUR Workshop Proceedings. - 2015. - V. 1452, l. . - P. 56-63.

ISSN:

16130073

Type:

Conference Paper

Abstract:

The basic idea behind this work is in extraction (estimation) of the uncorrupted image from the distorted or noised one. The idea is also referred to as the image denoising. Noise removal or noise reduction in an image can be done by linear or nonlinear filtering. The most popular linear technique is based on averaging (or meaning) linear operators. Usually, denoising via linear filters does not work sufficiently since both the noise and edges (in the image) contain high frequencies. Therefore, any practical denoising model has to be nonlinear. In this paper, we propose two new nonlinear data-dependent filters, namely, the generalized mean and median Heronian ones. These filters are based on the Heronian means and medians that are used for developing a new theoretical framework for image filtering. The main goal of the work is to show that new elaborated filters can be applied to solve problems of image filtering in a natural and effective manner.

Author keywords:

Generalized aggregation mean; Nonlinear filters

Index keywords:

Digital filters; Image analysis; Mathematical operators; Median filters; Noise abatement; Nonlinear analysis; Nonlinear filtering; Generalized aggregation mean; Heronian means; High frequency HF; Imag

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84950151715&partnerID=40&md5=7cb64db3adb054841e51474bad6672ea

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84950151715&partnerID=40&md5=7cb64db3adb054841e51474bad6672ea
Affiliations	Capricat LLC, 1340 S., Ocean Blvd., Pompano Beach, FL, United States; Ural Federal University, pr. Mira, 19, Yekaterinburg, Russian Federation
Author Keywords	Generalized aggregation mean; Nonlinear filters
Funding Details	RFBR, Russian Foundation for Basic Research
References	Mitra, S.K., (2001) Nonlinear Image Processing, p. 248. , Academic Press Series in Communications, Networking, and Multimedia, San Diego, New York; Sykora, S., (2009) Mathematical Means and Averages: Generalized Heronian Means I. Stan's Library, 1. , Ed. S. Sykora; Sykora, S., (2009) Generalized Heronian Means II. Stan's Library, 2. , Ed. S. Sykora; Sykora, S., (2009) Generalized Heronian Means III. Stan's Library, 3. , Ed. S. Sykora; Mayor, G., Trillas, E., On the representation of some Aggregation functions (1986) Proceeding of ISMVL, 20, pp. 111-114; Ovchinnikov, S., On robust aggregation procedures. Aggregation operators for fusion under fuzziness (1998) Bouchon-meunier B, pp. 3-10; Kolmogorov, A., Sur la notion de la moyenne (1930) Atti Accad. Naz. Lincei, 12, pp. 388-391; Labunets, V.G., Filters based on aggregation operators. Part 1. Aggregation operators (2014) 24th Int. Crimean Conference Microwave & Telecommunication Technology (CriMiCo2014), 24, pp. 1239-1240. , Sevastopol, Crimea, Russia; Labunets, V.G., Gainanov, D.N., Ostheimer, E., Filters based on aggregation operators. Part 2. The kolmogorov filters (2014) 24th Int. Crimean Conference Microwave & Telecommunication Technology (CriMiCo2014), 24, pp. 1241-1242. , Sevastopol, Crimea, Russia; Labunets, V.G., Gainanov, D.N., Tarasov, A.D., Ostheimer, E., Filters based on aggregation operators. Part 3. The Heron filters (2014) 24th Int. Crimean Conference Microwave & Telecommunication Technology (CriMiCo2014), 24, pp. 1243-1244. , Sevastopol, Crimea, Russia; Labunets, V.G., Gainanov, D.N., Arslanova, R.A., Ostheimer, E., Filters based on aggregation operators. Part 4. Generalized vector median filters (2014) 24th Int. Crimean Conference Microwave & Telecommunication Technology (CriMiCo2014), 24, pp. 1245-1246. , Sevastopol, Crimea, Russia
Editors	Panchenko A.Labunets V.G.Spirin N.Konstantinova N.Panchenko A.Delhibabu R.Khachay M.Y.
Sponsors	et al.;Exactpro;GraphiCon;IT Centre;Krasovsky Institute of Mathematics and Mechanics;SKB Kontur;Ural Federal University
Publisher	CEUR-WS
Conference name	4th International Conference on Analysis of Images, Social Networks and Texts, AIST 2015
Conference date	9 April 2015 through 11 April 2015
Conference code	116775
Language of Original Document	English
Abbreviated Source Title	CEUR Workshop Proc.
Source	Scopus