Two-dimensional nonuniform sampling expansions an iterative approach. ii. reconstruction formulae and applications

DOI10.1080/00036818908839839zbMath0646.94005OpenAlexW2022696881WikidataQ58301262 ScholiaQ58301262MaRDI QIDQ3791074

G. Hinsen, Paul L. Butzer

Publication date: 1989

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818908839839

zbMATH Keywords

interpolationsampling theorybandlimited signalsnonuniform samplingmultidimensional samplingperiodic samplinghexagonal sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Communication theory (94A05)

Related Items (8)

Double sampling derivatives and truncation error estimates ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ On minimal trajectories for mobile sampling of bandlimited fields ⋮ IRREGULAR SAMPLING IN SHIFT INVARIANT SPACES OF HIGHER DIMENSIONS ⋮ On Green's function of two-parameter problems and sampling theory ⋮ Reconstruction of L-splines of polynomial growth from their local weighted average samples ⋮ Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation ⋮ Irregular sampling theorems and series expansions of band-limited functions

Cites Work

• Unnamed Item
• On \(n\)-dimensional sampling theorems
• The processing of periodically sampled multidimensional signals
• Two-dimensional nonuniform sampling expansions an iterative approach. i. theory of two-dimensional bandlimited signals
• On Lattices Admitting Unique Lagrange Interpolations

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