Elementary \(m\)-harmonic cardinal B-splines

DOI10.1007/BF02142205zbMath0851.41010MaRDI QIDQ1183325

Christophe Rabut

Publication date: 28 June 1992

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

\(B\)-splines\(m\)-harmonic splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (22)

Error Analysis of Nodal Meshless Methods ⋮ Divergence-free quasi-interpolation ⋮ Properties of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Shift-invariant spline subspaces of Sobolev spaces and their order of approximation ⋮ Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines ⋮ TV-based reconstruction of periodic functions ⋮ Polyharmonic multiresolution analysis: An overview and some new results ⋮ High level \(m\)-harmonic cardinal B-splines ⋮ Quasi-interpolation operators on hexagonal grids with high approximation orders in spaces of polyharmonic splines ⋮ Shift-invariant spaces from rotation-covariant functions ⋮ On the construction of polyharmonic \(B\)-splines ⋮ ELLIPTIC SCALING FUNCTIONS AS COMPACTLY SUPPORTED MULTIVARIATE ANALOGS OF THE B-SPLINES ⋮ Polyharmonic splines: an approximation method for noisy scattered data of extra-large size ⋮ An introduction to Schoenberg's approximation ⋮ Where there's a Will there's a way -- the research of Will Light ⋮ Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets ⋮ Splines and Multiresolution Analysis ⋮ Particular Solution of Poisson Problems Using Cardinal Lagrangian Polyharmonic Splines ⋮ On MRAs and prewavelets based on elliptic splines ⋮ Two-level additive Schwarz methods using rough polyharmonic splines-based coarse spaces ⋮ Interpolation of data functions on parallel hyperplanes

Cites Work

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• Polyharmonic cardinal splines
• Multivariate interpolation at arbitrary points made simple
• High level \(m\)-harmonic cardinal B-splines
• Using the refinement equation for the construction of pre-wavelets. III: Elliptic splines
• Cardinal interpolation and spline functions
• Iterative Solution of Systems Originating from Integral Equations and Surface Interpolation

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