TY - JOUR
T1 - Properties of dual pseudo-splines
AU - Dong, Bin
AU - Dyn, Nira
AU - Hormann, Kai
PY - 2010/7
Y1 - 2010/7
N2 - 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. (2008) [10] as limits of subdivision schemes. In Dyn et al. (2008) [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.
AB - 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. (2008) [10] as limits of subdivision schemes. In Dyn et al. (2008) [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.
UR - http://www.scopus.com/inward/record.url?scp=77955279268&partnerID=8YFLogxK
U2 - 10.1016/j.acha.2009.08.010
DO - 10.1016/j.acha.2009.08.010
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AN - SCOPUS:77955279268
SN - 1063-5203
VL - 29
SP - 104
EP - 110
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 1
ER -