Multivariate smooth interpolation that employs polyharmonic functions

0504398 - MÚ 2020 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Segeth, Karel
Multivariate smooth interpolation that employs polyharmonic functions.
Programs and Algorithms of Numerical Mathematics 19. Prague: Institute of Mathematics of the Czech Academy of Sciences, 2019 - (Chleboun, J.; Kůs, P.; Přikryl, P.; Rozložník, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 140-148. ISBN 978-80-85823-69-1.
[Programs and Algorithms of Numerical Mathematics /19./. Hejnice (CZ), 24.06.2018-29.06.2018]
Grant CEP: GA ČR(CZ) GA18-09628S
Institucionální podpora: RVO:67985840
Klíčová slova: data interpolation * smooth interpolation * polyharmonic spline * radial basis function
Obor OECD: Pure mathematics
http://hdl.handle.net/10338.dmlcz/703080

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.
Trvalý link: http://hdl.handle.net/11104/0296037