On computing with the Hilbert spline transform (Q1949300)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On computing with the Hilbert spline transform |
scientific article; zbMATH DE number 6160927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing with the Hilbert spline transform |
scientific article; zbMATH DE number 6160927 |
Statements
On computing with the Hilbert spline transform (English)
0 references
6 May 2013
0 references
B-splines, B-spline approximations and B-spline series are important and useful tools in the approximation of data. In this paper, they are applied to approximate the Hilbert transform of a function from given data. For this, Hilbert transforms of B-splines are considered, and it is observed that they can be viewed as divided differences (Section 4). Using this, new methods are provided (Section 5) and their complexities are studied (Section 6). Quadratic splines are analysed in this context in Section 7 with particular care, but extensions to higher degrees are available as well.
0 references
Hilbert transform
0 references
B-splines
0 references
Hilbert spline transform
0 references
divided difference representation
0 references
fast algorithm
0 references
0 references
0 references
