Fréchet filters for color and hyperspectral images filtering / Ostheimer E., Labunets V., Komarov D., Fedorova T. // Communications in Computer and Information Science. - 2015. - V. 542, l. . - P. 57-70.

ISSN:

18650929

Type:

Conference Paper

Abstract:

Median filtering has been widely used in scalar-valued image processing as an edge preserving operation. The basic idea is that the pixel value is replaced by the median of the pixels contained in a window around it. In this paper, we extend the notion of the Fréchet vector median to the general Fréchet vector median, which minimizes the Fréchet cost function (FCF) in the form of an aggregation function instead of the ordinary sum. Moreover, we propose to use an aggregation distance instead of the classical one. We use the generalized Fréchet median for constructing new nonlinear filters based on an arbitrary pair of aggregation operators that can be changed independently. For each pair of parameters, we get the unique class of new nonlinear filters. © Springer International Publishing Switzerland 2015.

Author keywords:

Generalized aggregation mean; Hyperspectral image processing; Nonlinear filters

Index keywords:

Cost functions; Image analysis; Image processing; Independent component analysis; Mathematical operators; Nonlinear filtering; Pixels; Spectroscopy; Aggregation functions; Aggregation operator; Edge p

DOI:

10.1007/978-3-319-26123-2_6

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951871775&doi=10.1007%2f978-3-319-26123-2_6&partnerID=40&md5=342bc1c101553e365953351141eb022f

Соавторы в МНС:

—

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951871775&doi=10.1007%2f978-3-319-26123-2_6&partnerID=40&md5=342bc1c101553e365953351141eb022f
Affiliations	Capricat LLC, 1340 S., Ocean Blvd., Suite 209, Pompano Beach, FL, United States; Ural Federal University, Pr. Mira, 19, Yekaterinburg, Russian Federation
Author Keywords	Generalized aggregation mean; Hyperspectral image processing; Nonlinear filters
References	Fréchet, M., Les elements aleatoires de nature quelconque dans un espace distancie (1948) Ann. Inst. Henri Poincare, 10 (3), pp. 215-310; Bajaj, C., Proving geometric algorithms nonsolvability: An application of factoring polynomials (1986) J. Symbolic Comput, 2, pp. 99-102; Bajaj, C., The algebraic degree of geometric optimization problems (1988) Discrete Comput. Geom, 3, pp. 177-191; Chandrasekaran, R., Tamir, F., Algebraic optimization: The fermat-weber problem (1990) Math. Program, 46, pp. 219-224; Astola, J., Haavisto, P., Neuvo, Y., Vector median filters (1990) Proc. IEEE, 78, pp. 678-689; Tang, K., Astola, J., Neuvo, Y., Nonlinear multivariate image filtering techniques (1996) IEEE Trans. Image Process, 4, pp. 788-798; Mayor, G., Trillas, E., On the representation of some aggregation functions (1986) Proc. ISMVL, 20, pp. 111-114; Ovchinnikov, S., On robust aggregation procedures (1998) Aggregation Operators for Fusion under Fuzziness, pp. 3-10. , In: Bouchon-Meunier, B. (ed.), Physica, Heidelberg; 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 International Crimean Conference Microwave and Telecommunication Technology (Crimico2014), 24, pp. 1239-1240. , Sevastopol, Crimea, Russia; Labunets, V.G., Gainanov, D.N., Ostheimer, E., Filters based on aggregation operators (2014) 24Th International Crimean Conference Microwave and Telecommunication Technology (Crimico2014), 24, pp. 1241-1242. , The kolmogorov filters, 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 International Crimean Conference “Microwave and 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 International Crimean Conference Microwave and Telecommunication Technology (Crimico2014), 24, pp. 1245-1246. , Sevastopol, Crimea, Russia
Correspondence Address	Ostheimer, E.; Capricat LLC, 1340 S., Ocean Blvd., Suite 209, United States; email: katya@capricat.com
Editors	Labunets V.G.Khachay M.Yu.Panchenko A.Konstantinova N.Ignatov D.I.
Sponsors	Etal;Exactpro;GraphiCon;IT Centre;Krasovsky Institute of Mathematics and Mechanics
Publisher	Springer Verlag
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	158559
ISBN	9783319261225
Language of Original Document	English
Abbreviated Source Title	Commun. Comput. Info. Sci.
Source	Scopus