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Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports. / Макаров, Антон Александрович.

In: Journal of Mathematical Sciences, Vol. 288, No. 4, 01.03.2025, p. 490-504.

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

Harvard

Макаров, АА 2025, 'Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports', Journal of Mathematical Sciences, vol. 288, no. 4, pp. 490-504. https://doi.org/10.1007/s10958-025-07713-4

APA

Макаров, А. А. (2025). Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports. Journal of Mathematical Sciences, 288(4), 490-504. https://doi.org/10.1007/s10958-025-07713-4

Vancouver

Макаров АА. Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports. Journal of Mathematical Sciences. 2025 Mar 1;288(4):490-504. https://doi.org/10.1007/s10958-025-07713-4

Author

Макаров, Антон Александрович. / Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports. In: Journal of Mathematical Sciences. 2025 ; Vol. 288, No. 4. pp. 490-504.

BibTeX

@article{81c0a87db8b240b78c1accd78b06f641,
title = "Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports",
abstract = "The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.",
author = "Макаров, {Антон Александрович}",
year = "2025",
month = mar,
day = "1",
doi = "10.1007/s10958-025-07713-4",
language = "English",
volume = "288",
pages = "490--504",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports

AU - Макаров, Антон Александрович

PY - 2025/3/1

Y1 - 2025/3/1

N2 - The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.

AB - The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.

UR - https://www.mendeley.com/catalogue/ef48c984-7f88-3a2b-a01e-df7a0e568cb2/

U2 - 10.1007/s10958-025-07713-4

DO - 10.1007/s10958-025-07713-4

M3 - Article

VL - 288

SP - 490

EP - 504

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 136248222