Multivariate smooth interpolation that employs polyharmonic functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00504398" target="_blank" >RIV/67985840:_____/19:00504398 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.21136/panm.2018.15" target="_blank" >http://dx.doi.org/10.21136/panm.2018.15</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2018.15" target="_blank" >10.21136/panm.2018.15</a>

Result language
angličtina
Original language name
Multivariate smooth interpolation that employs polyharmonic functions
Original language description
We study the problém of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomials therms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example is presented.
Czech name
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Czech description
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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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 19
ISBN
978-80-85823-69-1
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
140-148
Publisher name
Institute of Mathematics of the Czech Academy of Sciences
Place of publication
Prague
Event location
Hejnice
Event date
Jun 24, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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