Properties of dual pseudo-splines
Additional information
Authors
Dong B.,
Dyn N.,
Hormann K.
Type
Journal Article
Year
2010
Language
English
Abstract
Dual pseudo-splines are a new family of refinable functions that generalize both the even degree B-splines and the limit functions of the dual 2n-point subdivision schemes. They were introduced by Dyn et al. [10] as limits of subdivision schemes. In [10], simple algebraic considerations are needed to derive the approximation order of the members of this family. In this paper, we use Fourier analysis to derive further important properties such as regularity, stability, convergence, and linear independence.
Journal
Applied and computational harmonic analysis
Volume
29
Number ( Month )
1
Pages (or article number)
104-110
Diffusion
License
License undefined
Visibility
Public
Status open access
Green
