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Multivariate data fitting using polyharmonic splines
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SYSNO ASEP 0543150 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Multivariate data fitting using polyharmonic splines Tvůrce(i) Segeth, Karel (MU-W) RID, SAI, ORCID Číslo článku 113651 Zdroj.dok. Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 397, December (2021)Poč.str. 11 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova data fitting ; polyharmonic spline ; spline data approximation ; Fourier transform Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA18-09628S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000661869500001 EID SCOPUS 85107069185 DOI 10.1016/j.cam.2021.113651 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2022 Elektronická adresa https://doi.org/10.1016/j.cam.2021.113651
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