Interpolation by cubic tension splines with convexity inheritance Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
||
|---|---|---|---|
| Output data | Year: 2025, Volume: 13, Number: 1, Pages: 37-49 Pages count : 13 DOI: 10.32523/2306-6172-2025-13-1-37-49 | ||
| Tags | convex interpolation, cubic tension spline, algorithm, sufficient conditions of convexity | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0015 |
Abstract:
We consider the problem of interpolation of a convex function by tension splines with inheritance of the convexity condition. Previously, we developed the near-optimal algorithm for automatically selecting tension parameters when interpolating a convex function; now we propose to use it in the problem of piecewise convex interpolation. Using numerical examples, we show that tension parameters determined on subdomains when constructing separate splines can be used in a global tension spline construction over all data, which ensures the required convexity on subdomains.
Cite:
Bogdanov V.V.
, Volkov Y.S.
Interpolation by cubic tension splines with convexity inheritance
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N1. P.37-49. DOI: 10.32523/2306-6172-2025-13-1-37-49 WOS Scopus OpenAlex
Interpolation by cubic tension splines with convexity inheritance
Eurasian Journal of Mathematical and Computer Applications. 2025. V.13. N1. P.37-49. DOI: 10.32523/2306-6172-2025-13-1-37-49 WOS Scopus OpenAlex
Dates:
| Submitted: | Jun 12, 2024 |
| Accepted: | Sep 13, 2024 |
| Published print: | Mar 31, 2025 |
| Published online: | Mar 31, 2025 |
Identifiers:
| Web of science: | WOS:001459853500004 |
| Scopus: | 2-s2.0-105003319691 |
| OpenAlex: | W4409188318 |
Citing:
Пока нет цитирований