Properties of dual pseudo-splines
- Dong, Bin Department of Mathematics, University of California, San Diego, USA
- Dyn, Nira School of Mathematical Sciences, Tel Aviv University, Israel
- Hormann, Kai Facoltà di scienze informatiche, Università della Svizzera italiana, Svizzera
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2010
Published in:
- Applied and computational harmonic analysis. - Elsevier. - 2010, vol. 29, no. 1, p. 104-110
English
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.
- Language
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- English
- Classification
- Computer science and technology
- License
- License undefined
- Identifiers
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- RERO DOC 22098
- DOI 10.1016/j.acha.2009.08.010
- ARK ark:/12658/srd1318215
- Persistent URL
- https://n2t.net/ark:/12658/srd1318215
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