Standard

Symmetric dual multiwavelet frames. / Кривошеин, Александр Владимирович.

в: International Journal of Wavelets, Multiresolution and Information Processing, Том 23, № 4, 2550016, 01.07.2025.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Кривошеин, АВ 2025, 'Symmetric dual multiwavelet frames', International Journal of Wavelets, Multiresolution and Information Processing, Том. 23, № 4, 2550016. https://doi.org/10.1142/S021969132550016X

APA

Кривошеин, А. В. (2025). Symmetric dual multiwavelet frames. International Journal of Wavelets, Multiresolution and Information Processing, 23(4), [2550016]. https://doi.org/10.1142/S021969132550016X

Vancouver

Кривошеин АВ. Symmetric dual multiwavelet frames. International Journal of Wavelets, Multiresolution and Information Processing. 2025 Июль 1;23(4). 2550016. https://doi.org/10.1142/S021969132550016X

Author

Кривошеин, Александр Владимирович. / Symmetric dual multiwavelet frames. в: International Journal of Wavelets, Multiresolution and Information Processing. 2025 ; Том 23, № 4.

BibTeX

@article{ee1e14c6c16e4ce296ff860789b8537e,
title = "Symmetric dual multiwavelet frames",
abstract = "For a given symmetric refinable matrix mask obeying the sum rule of order n, an explicit method is suggested for constructing symmetric almost frame-like multiwavelets providing approximation order n. Obtained multiwavelet system can be further improved to be a dual multiwavelet frame, keeping symmetry and approximation properties.",
keywords = "матричная маска, мультивсплески, матричный принцип расширения, симметрия, лифтинг-схема, фреймы мультивсплесков, Multiwavelet frames, frame-like multiwavelets, lifting scheme, matrix extension principle, matrix mask, refinable function vector, symmetry",
author = "Кривошеин, {Александр Владимирович}",
year = "2025",
month = jul,
day = "1",
doi = "10.1142/S021969132550016X",
language = "English",
volume = "23",
journal = "International Journal of Wavelets, Multiresolution and Information Processing",
issn = "0219-6913",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "4",

}

RIS

TY - JOUR

T1 - Symmetric dual multiwavelet frames

AU - Кривошеин, Александр Владимирович

PY - 2025/7/1

Y1 - 2025/7/1

N2 - For a given symmetric refinable matrix mask obeying the sum rule of order n, an explicit method is suggested for constructing symmetric almost frame-like multiwavelets providing approximation order n. Obtained multiwavelet system can be further improved to be a dual multiwavelet frame, keeping symmetry and approximation properties.

AB - For a given symmetric refinable matrix mask obeying the sum rule of order n, an explicit method is suggested for constructing symmetric almost frame-like multiwavelets providing approximation order n. Obtained multiwavelet system can be further improved to be a dual multiwavelet frame, keeping symmetry and approximation properties.

KW - матричная маска

KW - мультивсплески

KW - матричный принцип расширения

KW - симметрия

KW - лифтинг-схема

KW - фреймы мультивсплесков

KW - Multiwavelet frames

KW - frame-like multiwavelets

KW - lifting scheme

KW - matrix extension principle

KW - matrix mask

KW - refinable function vector

KW - symmetry

UR - https://www.mendeley.com/catalogue/25ac88a1-e438-3517-8ffe-fac8d98215fd/

U2 - 10.1142/S021969132550016X

DO - 10.1142/S021969132550016X

M3 - Article

VL - 23

JO - International Journal of Wavelets, Multiresolution and Information Processing

JF - International Journal of Wavelets, Multiresolution and Information Processing

SN - 0219-6913

IS - 4

M1 - 2550016

ER -

ID: 137083431