Multiparametric wavelet transforms / Labunets V.G., Komarov D.E., Ostheimer E.V. // CEUR Workshop Proceedings. - 2016. - V. 1710, l. . - P. 134-145.

ISSN:

16130073

Type:

Conference Paper

Abstract:

The main goal of the paper is to show that wavelet transforms and packets have the multiparametric representation in the form of a product of the rotation Jacobi matrices. These representations we call the third and the fourth canonical multiparametric form. Each multiparametric wavelet transform (MPWT) depends on several free Jacobi parameters. When parameters are changed multiparametric transform is changed too taking form of all known and unknown orthogonal wavelet transforms. It gives unified approach to describing a wide set of cyclic orthogonal wavelet transforms and endows with adaptive properties of those transforms.

Author keywords:

Fast algorithms; Jacobi rotation; Wavelet transforms

Index keywords:

Image analysis; Jacobian matrices; Fast algorithms; Jacobi matrix; Orthogonal wavelet transforms; Unified approach; Wavelet transforms

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017151491&partnerID=40&md5=5ae4d2fb2bdf03cb5618ee8dbdf9504e

Соавторы в МНС:

—

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017151491&partnerID=40&md5=5ae4d2fb2bdf03cb5618ee8dbdf9504e
Affiliations	Ural Federal University, pr. Mira, 19, Yekaterinburg, Russian Federation; Capricat LLC 1340 S. Ocean Blvd., Suite 209, Pompano Beach, FL, United States
Author Keywords	Fast algorithms; Jacobi rotation; Wavelet transforms
References	Daubechies, I., Sweldens, W., Factoring wavelet transforms into lifting steps (1998) J.Fourier Anal. Appl, 4 (3), pp. 247-269; Daubechies, I., Ten lectures on wavelets (1992) Society for Industrial and Applied Mathematics, p. 68. , Philadelphia, PA
Editors	Ignatov D.I.Khachay M.Y.Nikolenko S.Panchenko A.Vorontosov K.V.Loukachevitch N.Panchenko A.Savchencko A.V.Labunets V.G.
Sponsors	Centre of Information Technologies (Centre IT);Exactpro;OK.Ru (Mail.Ru Group)
Publisher	CEUR-WS
Conference name	5th International Conference on Analysis of Images, Social Networks and Texts, AIST 2016
Conference date	6 April 2016 through 8 April 2016
Conference code	126090
Language of Original Document	English
Abbreviated Source Title	CEUR Workshop Proc.
Source	Scopus