Compactly supported positive definite radial functions

Keywords

Positive definiteness, Positive-definite matrix, Mathematics, Smoothness, Polynomial

References

• Radial basis functions for multivariable interpolation: a reviewM. J. D. Powell — 1987
• Introduction to Fourier Analysis on Euclidean Spaces.Elias M. Stein, Guido Weiss — 1971
• Hermite-Birkhoff interpolation of scattered data by radial basis functionsZongmin Wu — 1992
• Conditionally positive definite functions and Laplace-Stieltjes integralsKangxian Guo, Shuqi Hu, Xingping Sun — 1993
• Error estimates and condition numbers for radial basis function interpolationRobert Schaback — 1995
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolationZongmin Wu, Schaback Robert — 1994
• Comparison of Radial Basis Function InterpolantsRobert Schaback — 1993
• Conditionally positive definite functions and their application to multivariate interpolationsXingping Sun — 1993
• Metric spaces and completely monotone functionsI. J. Schoenberg — 1938
• Local error estimates for radial basis function interpolation of scattered dataZongmin Wu, Robert Schaback — 1993
• Interpolation of scattered data: Distance matrices and conditionally positive definite functionsCharles A. Micchelli — 1986

Cited by

• Compactly Supported Radial Basis Function-Based Meshless Method for Photon Propagation Model of Fluorescence Molecular Tomography友香 佐藤, 未歩子 山田, 陽子 江崎 — 2017
• Robust and efficient processing techniques for static and dynamic geometric dataO. Schall — 2009
• Using radial basis functions in a ``finite difference mode''A. I. Tolstykh, D. A. Shirobokov — 2005
• A formulation for efficient adaptive metamodelling in engineering designThomas Makin — 2014
• A Conservative Mesh-Free Approach for Fluid Structure Interface ProblemsGiuseppe Quaranta, Pierangelo Masarati, Paolo Mantegazza — 2005
• Deformable brain atlas: Validation of the location of subthalamic nucleus using T1-weighted MR images of patients operated on for Parkinson'sMario Ortega, M.‐Carmen Juan, Mariano Alcañíz — 2008
• Examples of Compactly Supported Functions for Radial Basis ApproximationsArta A. Jamshidi, Michael Kirby — 2006
• Approximation du problème de diffusion en tomographie optique et problème inverseMohamed Addam — 2009
• Generalized Bochner’s Theorem for radial functionZongmin Wu — 1997
• Local radial basis function methods for solving partial differential equationsGuangming Yao — 2010
• High-Performance 3D Hybrid/Mixed, and Simple 3D Voronoi Cell Finite Elements, for Macro- & Micro-mechanical Modeling of Solids, Without Using Multi-field Variational PrinciplesPeter L. Bishay, Satya N. Atluri — 2012
• An Assessment of the State-of-the-art in Multidisciplinary Aeromechanical AnalysesAnubhav Datta, Wayne Johnson — 2008
• Implicit local radial basis function interpolations based on function valuesGuangming Yao, Duo Jia, C.S. Chen — 2015
• Hybrid meshless method for numerical solution of partial differential equationsJeanette Marie Monroe — 2014
• Non-oscillatory finite volume methods for conservation laws on unstructured grids.Terhemen Aboiyar — 2008
• A class of non-stationary covariance functions with compact supportLiang Min, Denis Marcotte — 2016
• Algorithms and technologies for photonic crystal modellingE. E. Hart — 2009
• Surface from Scattered Points: A Brief Survey of Recent DevelopmentsOliver Schall, Marie Samozino, Bianca Falcidieno — 2005
• Algorithms for scientific computingNeil S. O'Brien — 2012
• Adaptive Radial Basis Function Interpolation for Time-Dependent Partial Differential EquationsSyeda Laila Naqvi — 2013

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