| Title:
|
Multivariate smooth interpolation that employs polyharmonic functions (English) |
| Author:
|
Segeth, Karel |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 24-29, 2018 |
| Issue:
|
2018 |
| Year:
|
|
| Pages:
|
140-148 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the problem 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 polynomial terms. 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. (English) |
| Keyword:
|
data interpolation |
| Keyword:
|
smooth interpolation |
| Keyword:
|
polyharmonic spline |
| Keyword:
|
radial basis function |
| Keyword:
|
Fourier transform |
| MSC:
|
31B30 |
| MSC:
|
41A05 |
| MSC:
|
41A63 |
| MSC:
|
42A38 |
| MSC:
|
65D05 |
| DOI:
|
10.21136/panm.2018.15 |
| . |
| Date available:
|
2019-04-29T13:38:14Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703080 |
| . |
