Today, mathematical modeling is becoming more important in studying digital signal processing and image reconstruction problems. In modern information technologies, spline functions often give better results than classical interpolation methods. In this paper, we compare two types of splines: the Hermite spline, which has local properties, and the natural cubic spline, which provides global smoothness. We analyze how effective they are in two-dimensional interpolation problems. The paper studies how the Hermite spline works with function values and first derivatives in adaptive image resampling.
| Mualliflar | Baxramov, S.A |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-03-13 |
| Son | 1 |
| Betlar | 197-201 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
Hermite spline, natural cubic spline, first derivative, adaptive resampling, two-dimensional interpolation, digital image processing, сплайн Эрмита, натуральный кубический сплайн, первая производная, адаптивный ресэмплинг, двумерная интерполяция, обработка цифровых изображений, Ermit splayni, Natural kubik splayn, birinchi tartibli hosila, adaptiv resampling, ikki o‘lchovli interpolyatsiya, raqamli tasvirga ishlov berish
| APA | Baxramov, S.A (2026). Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object. Al-Farg'oniy avlodlari, (1), 197-201. https://al-fargoniy.uz/index.php/journal/article/view/1051 |
|---|---|
| GOST (OAK) | Baxramov, S.A Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object // Al-Farg'oniy avlodlari. – 2026. – № 1. – P. 197-201. |
| MLA | Baxramov, S.A. “Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object.” Al-Farg'oniy avlodlari, (1), 197-201, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1051 |
| Chicago | Baxramov, S.A. “Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object.” Al-Farg'oniy avlodlari, (1), 197-201 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1051 |
| Harvard | Baxramov, S.A (2026) ‘Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object’, Al-Farg'oniy avlodlari, (1), 197-201. https://al-fargoniy.uz/index.php/journal/article/view/1051 |
| BibTeX | @article{baxramovsa2026,
title = {Analysis of the approximation of the Hermite interpolation spline function and the natural cubic spline to an object},
author = {Baxramov, S.A},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {1},
pages = {197-201},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1051}
} |
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