New families of \(B\)-splines on uniform meshes of the plane (Q2715907)
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: New families of \(B\)-splines on uniform meshes of the plane |
scientific article; zbMATH DE number 1600668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New families of \(B\)-splines on uniform meshes of the plane |
scientific article; zbMATH DE number 1600668 |
Statements
29 May 2001
0 references
uniform triangulations of the plane
0 references
\(B\)-splines
0 references
interpolation
0 references
convolution of simple \(B\)-splines
0 references
characteristic function
0 references
box-splines
0 references
New families of \(B\)-splines on uniform meshes of the plane (English)
0 references
This is a survey paper on the existence and the properties of some families of piecewise polynomial functions with bounded supports (\(B\)-splines) on the two classical uniform triangulations of the plane. Composed \(B\)-splines are defined by repeated convolution of simple \(B\)-splines with the piecewise affine pyramid, for the first triangulation, and with characteristic functions of small squares or lozenges, for the second triangulation. Among various properties, the local and global independence of certain families of \(B\)-splines with small support are discussed. Finally two specific Lagrange interpolation problems are studied on a rectangular domain.NEWLINENEWLINEFor the entire collection see [Zbl 0911.00013].
0 references
