Original title: Multivariate smooth interpolation that employs polyharmonic functions
Authors: Segeth, Karel
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /19./, Hejnice (CZ), 20180624
Year: 2019
Language: eng
Abstract: 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.
Keywords: data interpolation; polyharmonic spline; radial basis function; smooth interpolation
Project no.: GA18-09628S (CEP)
Funding provider: GA ČR
Host item entry: Programs and Algorithms of Numerical Mathematics 19, ISBN 978-80-85823-69-1
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/703080

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0296037

Permalink: http://www.nusl.cz/ntk/nusl-394980


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