Standard

From frame-like wavelets to wavelet frames keeping approximation properties and symmetry. / Krivoshein, A.V.

In: Applied Mathematics and Computation, Vol. 344-345, 01.03.2019, p. 204-218.

Research output: Contribution to journal › Article › peer-review

Harvard

Krivoshein, AV 2019, 'From frame-like wavelets to wavelet frames keeping approximation properties and symmetry', Applied Mathematics and Computation, vol. 344-345, pp. 204-218. https://doi.org/10.1016/j.amc.2018.10.004

APA

Krivoshein, A. V. (2019). From frame-like wavelets to wavelet frames keeping approximation properties and symmetry. Applied Mathematics and Computation, 344-345, 204-218. https://doi.org/10.1016/j.amc.2018.10.004

Vancouver

Krivoshein AV. From frame-like wavelets to wavelet frames keeping approximation properties and symmetry. Applied Mathematics and Computation. 2019 Mar 1;344-345:204-218. https://doi.org/10.1016/j.amc.2018.10.004

Author

Krivoshein, A.V. / From frame-like wavelets to wavelet frames keeping approximation properties and symmetry. In: Applied Mathematics and Computation. 2019 ; Vol. 344-345. pp. 204-218.

BibTeX

@article{05e934331f7145949a01d89a9a66287d,
title = "From frame-like wavelets to wavelet frames keeping approximation properties and symmetry",
abstract = "For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost frame-like wavelet system providing approximation order n. A transformation based on the lifting scheme is described that allows to improve almost frame-like wavelets up to dual wavelet frames and preserve other properties. A direct method for the construction of dual wavelet frames providing approximation order n and mutual symmetry properties is also discussed. For an abelian symmetry group H, a technique providing the H-symmetry property for each wavelet function is given for the above three methods.",
keywords = "Frames, Lifting Scheme, Multivariate waveletsS, Symmetry, Multivariate wavelets, Frames, Symmetry, Lifting Scheme, GENERAL DILATION MATRIX, BIORTHOGONAL WAVELETS, AFFINE SYSTEMS, CONSTRUCTION, L-2(R-D), BASES",
author = "A.V. Krivoshein",
year = "2019",
month = mar,
day = "1",
doi = "10.1016/j.amc.2018.10.004",
language = "English",
volume = "344-345",
pages = "204--218",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - From frame-like wavelets to wavelet frames keeping approximation properties and symmetry

AU - Krivoshein, A.V.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost frame-like wavelet system providing approximation order n. A transformation based on the lifting scheme is described that allows to improve almost frame-like wavelets up to dual wavelet frames and preserve other properties. A direct method for the construction of dual wavelet frames providing approximation order n and mutual symmetry properties is also discussed. For an abelian symmetry group H, a technique providing the H-symmetry property for each wavelet function is given for the above three methods.

AB - For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost frame-like wavelet system providing approximation order n. A transformation based on the lifting scheme is described that allows to improve almost frame-like wavelets up to dual wavelet frames and preserve other properties. A direct method for the construction of dual wavelet frames providing approximation order n and mutual symmetry properties is also discussed. For an abelian symmetry group H, a technique providing the H-symmetry property for each wavelet function is given for the above three methods.

KW - Frames

KW - Lifting Scheme

KW - Multivariate waveletsS

KW - Symmetry

KW - Multivariate wavelets

KW - Frames

KW - Symmetry

KW - Lifting Scheme

KW - GENERAL DILATION MATRIX

KW - BIORTHOGONAL WAVELETS

KW - AFFINE SYSTEMS

KW - CONSTRUCTION

KW - L-2(R-D)

KW - BASES

UR - https://www.researchgate.net/publication/325842002_From_Frame-like_Wavelets_to_Wavelet_Frames_keeping_approximation_properties_and_symmetry

UR - http://www.scopus.com/inward/record.url?scp=85055727643&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/framelike-wavelets-wavelet-frames-keeping-approximation-properties-symmetry

U2 - 10.1016/j.amc.2018.10.004

DO - 10.1016/j.amc.2018.10.004

M3 - Article

VL - 344-345

SP - 204

EP - 218

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 35499285