Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds

DOI10.1016/j.amc.2017.05.018zbMath1426.65011arXiv1705.01032OpenAlexW2963958490MaRDI QIDQ2422849

Roberto Cavoretto, Alessandra De Rossi, Giampietro Allasia

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01032

zbMATH Keywords

multivariate approximationHermite-Birkhoff interpolationmeshfree methodsarbitrarily distributed data

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (15)

Coordinate descent optimization for one-to-one correspondence and supervised classification of 3D shapes ⋮ Foreword to the special issue ``Recent trends in numerical computations: theory and algorithms ⋮ Fast computation of triangular Shepard interpolants ⋮ Fast and accurate scattered Hermite interpolation by triangular Shepard operators ⋮ On the linearization methods for univariate Birkhoff rational interpolation ⋮ Learning with partition of unity-based kriging estimators ⋮ Adaptive meshless refinement schemes for RBF-PUM collocation ⋮ Fractional Hermite interpolation using RBFs in high dimensions over irregular domains with application ⋮ Direction curves of tangent indicatrix of a curve ⋮ \(C^1\) interpolating Bézier path on Riemannian manifolds, with applications to 3D shape space ⋮ Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data ⋮ Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions ⋮ An efficient trivariate algorithm for tetrahedral Shepard interpolation ⋮ The role of Hilbert-Schmidt SVD basis in Hermite-Birkhoff interpolation in fractional sense ⋮ Optimal Birkhoff interpolation and Birkhoff numbers in some function spaces

Uses Software

• QSHEP3D

Cites Work

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