Sampling and reconstruction in shift invariant spaces of B-spline functions

DOI10.1007/s10440-016-0053-6zbMath1362.65025OpenAlexW2342198188MaRDI QIDQ518512

Yong-Cai Geng, Sumit K. Garg

Publication date: 28 March 2017

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-016-0053-6

zbMATH Keywords

B-splinesHermite interpolationreconstruction algorithmsnon-uniform samplingBernstein's inequalityirregular Gabor-type framesKrein-Favard constants

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Sampling theory in information and communication theory (94A20)

Related Items (7)

Sampling with Derivatives in Periodic Shift-Invariant Spaces ⋮ Stability results for Gabor frames and the \(p\)-order hold models ⋮ Sampling and reconstruction in reproducing kernel subspaces of mixed Lebesgue spaces ⋮ 𝑝-Riesz bases in quasi shift invariant spaces ⋮ Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces ⋮ Interpolatory filter banks and interpolatory wavelet packets ⋮ Perturbation theorems for regular sampling in wavelet subspaces

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