Multivariate data fitting using polyharmonic splines

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00543150" target="_blank" >RIV/67985840:_____/21:00543150 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.cam.2021.113651" target="_blank" >https://doi.org/10.1016/j.cam.2021.113651</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2021.113651" target="_blank" >10.1016/j.cam.2021.113651</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Multivariate data fitting using polyharmonic splines

Popis výsledku v původním jazyce

The paper is concerned with the use of polyharmonic splines as basis functions in multivariate data fitting. We present several properties of polyharmonic splines and their mutual links: they are commonly used radial basis functions, they are basis functions resulting from the application of a particular smooth approximation procedure, and the form and coefficients of the approximant can be obtained as a solution of a boundary value differential problem for the polyharmonic equation. The construction of the approximant is based on the least squares approach. Approximation of the kind mentioned is often used in practical computation especially with the data measured in 2D and 3D for geographic information systems or computer aided geometric design. The smooth approximation point of view provides the best description of the properties of polyharmonic splines employed for approximation. We mention the connections to interpolation where appropriate.

Název v anglickém jazyce

Multivariate data fitting using polyharmonic splines

Popis výsledku anglicky

The paper is concerned with the use of polyharmonic splines as basis functions in multivariate data fitting. We present several properties of polyharmonic splines and their mutual links: they are commonly used radial basis functions, they are basis functions resulting from the application of a particular smooth approximation procedure, and the form and coefficients of the approximant can be obtained as a solution of a boundary value differential problem for the polyharmonic equation. The construction of the approximant is based on the least squares approach. Approximation of the kind mentioned is often used in practical computation especially with the data measured in 2D and 3D for geographic information systems or computer aided geometric design. The smooth approximation point of view provides the best description of the properties of polyharmonic splines employed for approximation. We mention the connections to interpolation where appropriate.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA18-09628S" target="_blank" >GA18-09628S: Pokročilá analýza proudových polí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

1879-1778

Svazek periodika

397

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

113651

Kód UT WoS článku

000661869500001

EID výsledku v databázi Scopus

2-s2.0-85107069185