Fast evaluation of radial basis functions: methods for two-dimensional polyharmonic splines

DOI10.1093/imanum/17.3.343zbMath0929.65004OpenAlexW2155978565MaRDI QIDQ4344266

William A. Light, Rick K. Beatson

Publication date: 11 January 2000

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/17.3.343

zbMATH Keywords

convergenceimage processingradial basis functionsfast multipole methodpolyharmonic splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computation of special functions and constants, construction of tables (65D20)

Related Items

Fast convolution with radial kernels at nonequispaced knots, The role of inner summaries in the fast evaluation of thin-plate splines, Static and free vibration analysis of composite shells by radial basis functions, Better bases for radial basis function interpolation problems, On certain (block) Toeplitz matrices related to radial functions, Spectral analysis and preconditioning techniques for radial basis function collocation matrices, Implicit reconstructions of thin leaf surfaces from large, noisy point clouds, A kernel independent fast multipole algorithm for radial basis functions, A univariate quasi-multiquadric interpolation with better smoothness, On approximate cardinal preconditioning methods for solving PDEs with radial basis functions, A least-squares preconditioner for radial basis functions collocation methods, Where there's a Will there's a way -- the research of Will Light, Rapid evaluation of radial basis functions, Implicit Surface Reconstruction with Radial Basis Functions, Fast evaluation of vector splines in three dimensions, A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation, A meshless polyharmonic-type boundary interpolation method for solving boundary integral equations