Multivariate interpolation using polyharmonic splines

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00540785" target="_blank" >RIV/67985840:_____/21:00540785 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.14311/AP.2021.61.0148" target="_blank" >https://doi.org/10.14311/AP.2021.61.0148</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/AP.2021.61.0148" target="_blank" >10.14311/AP.2021.61.0148</a>

Result language
angličtina
Original language name
Multivariate interpolation using polyharmonic splines
Original language description
Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation by polyharmonic splines in an arbitrary dimension. We show the connection of this interpolation with the interpolation by radial basis functions and the smooth interpolation by generating functions, which provide means for minimizing the L2 norm of chosen derivatives of the interpolant. This can be useful in 2D and 3D, e.g., in the construction of geographic information systems or computer aided geometric design. We prove the properties of the piecewise polyharmonic spline interpolant and present a simple 1D example to illustrate them.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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