Existence and uniqueness of spline reconstruction from local weighted average samples

DOI10.1007/S12215-013-0144-4zbMath1307.42030OpenAlexW1993076882MaRDI QIDQ2255103

Devaraj Ponnaian, Yugesh Shanmugam

Publication date: 6 February 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-013-0144-4

zbMATH Keywords

cardinal spline interpolationregular samplinglocal average sampling

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Spline approximation (41A15) Sampling theory in information and communication theory (94A20)

Related Items (4)

Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces ⋮ Reconstruction of L-splines of polynomial growth from their local weighted average samples ⋮ On the zeros of the generalized Euler-Frobenius Laurent polynomial and reconstruction of cardinal splines of polynomial growth from local average samples ⋮ On weighted average interpolation with cardinal splines

Cites Work

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• Reconstruction of splines from local average samples
• Necessary density conditions for sampling an interpolation of certain entire functions
• On the closure of characters and the zeros of entire functions
• Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals

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