# Integer Realization of Spline-Wavelet Decomposition

## Abstract

We consider integer spline-wavelet algorithms for processing digital flows. We obtain integer variants of the decomposition and reconstruction formulas and give an example demonstrating the practical realizability of the proposed algorithms.

- Authors:

- St. Petersburg State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771583

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 228; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; ALGORITHMS; DATA PROCESSING; SPLINE FUNCTIONS

### Citation Formats

```
Dem’yanovich, Yu. K., E-mail: Yuri.Demjanovich@JD16531.spb.edu, Ivantsova, O. N., E-mail: o.ivancova@spbu.ru, and Ponomareva, A. Yu., E-mail: a.ponomareva@spbu.ru.
```*Integer Realization of Spline-Wavelet Decomposition*. United States: N. p., 2018.
Web. doi:10.1007/S10958-017-3652-5.

```
Dem’yanovich, Yu. K., E-mail: Yuri.Demjanovich@JD16531.spb.edu, Ivantsova, O. N., E-mail: o.ivancova@spbu.ru, & Ponomareva, A. Yu., E-mail: a.ponomareva@spbu.ru.
```*Integer Realization of Spline-Wavelet Decomposition*. United States. doi:10.1007/S10958-017-3652-5.

```
Dem’yanovich, Yu. K., E-mail: Yuri.Demjanovich@JD16531.spb.edu, Ivantsova, O. N., E-mail: o.ivancova@spbu.ru, and Ponomareva, A. Yu., E-mail: a.ponomareva@spbu.ru. Thu .
"Integer Realization of Spline-Wavelet Decomposition". United States. doi:10.1007/S10958-017-3652-5.
```

```
@article{osti_22771583,
```

title = {Integer Realization of Spline-Wavelet Decomposition},

author = {Dem’yanovich, Yu. K., E-mail: Yuri.Demjanovich@JD16531.spb.edu and Ivantsova, O. N., E-mail: o.ivancova@spbu.ru and Ponomareva, A. Yu., E-mail: a.ponomareva@spbu.ru},

abstractNote = {We consider integer spline-wavelet algorithms for processing digital flows. We obtain integer variants of the decomposition and reconstruction formulas and give an example demonstrating the practical realizability of the proposed algorithms.},

doi = {10.1007/S10958-017-3652-5},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 6,

volume = 228,

place = {United States},

year = {2018},

month = {2}

}

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