Fast and stable rational RBF-based partition of unity interpolation

DOI10.1016/j.cam.2018.07.020OpenAlexW2883521284WikidataQ129475191 ScholiaQ129475191MaRDI QIDQ1713114

Peng Zhang

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.020

zbMATH Keywords

partition of unity methodmeshfree approximationrational RBF approximation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

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Uses Software

• Matlab
• Schwarz-Christoffel
• ARPACK
• SC Toolbox
• GaussQR
• rbf_qr

Cites Work

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• Positive constrained approximation via RBF-based partition of unity method
• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
• Fast computation of orthonormal basis for RBF spaces through Krylov space methods
• Fast and accurate interpolation of large scattered data sets on the sphere
• Rational radial basis function interpolation with applications to antenna design
• Optimal selection of local approximants in RBF-PU interpolation
• A rational radial basis function method for accurately resolving discontinuities and steep gradients
• Numerical comparison of iterative eigensolvers for large sparse symmetric positive definite matrices
• Rational RBF-based partition of unity method for efficiently and accurately approximating 3D objects
• Partition of unity interpolation using stable kernel-based techniques
• Singular value decomposition and least squares solutions
• Stable Computations with Gaussian Radial Basis Functions
• Asymptotic Convergence of Conjugate Gradient Methods for the Partial Symmetric Eigenproblem
• ARPACK Users' Guide
• A Rescaled Method for RBF Approximation
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Interpolation with variably scaled kernels
• Algorithm 843
• Theory of Reproducing Kernels
• Scattered Data Approximation

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