Almost interpolation and radial basis functions

被引:0
|
作者
Le Méhauté, A [1 ]
机构
[1] CNRS, UMR 6629, Lab Jean Leray, F-44322 Nantes, France
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
After a review of some basic facts for Radial Basis Interpolation, we introduce the idea of almost interpolation for RBF, and show that in this setting it is possible to enlarge quite a lot the set of basic radial functions that can be used as basis. Our main result provides a Schoenberg-Whitney type condition for almost interpolation sets.
引用
收藏
页码:203 / 214
页数:12
相关论文
共 50 条
  • [31] Vectorial interpolation using radial-basis-like functions
    Dodu, F
    Rabut, C
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (3-5) : 393 - 411
  • [32] Pointwise approximation with quasi-interpolation by radial basis functions
    Buhmann, Martin D.
    Dai, Feng
    JOURNAL OF APPROXIMATION THEORY, 2015, 192 : 156 - 192
  • [33] Quasi-interpolation for data fitting by the radial basis functions
    Han, Xuli
    Hou, Muzhou
    ADVANCES IN GEOMETRIC MODELING AND PROCESSING, 2008, 4975 : 541 - 547
  • [34] Extended Hermite Radial Basis Functions for Sparse Contours Interpolation
    Zhong, Deyun
    Wang, Liguan
    Bi, Lin
    IEEE ACCESS, 2020, 8 : 58752 - 58762
  • [35] ON QUASI-INTERPOLATION BY RADIAL BASIS FUNCTIONS WITH SCATTERED CENTERS
    BUHMANN, MD
    DYN, N
    LEVIN, D
    CONSTRUCTIVE APPROXIMATION, 1995, 11 (02) : 239 - 254
  • [36] A Domain Decomposition Multilevel Preconditioner for Interpolation with Radial Basis Functions
    Haase, Gundolf
    Martin, Dirk
    Schiffmann, Patrick
    Offner, Guenter
    LARGE-SCALE SCIENTIFIC COMPUTING, LSSC 2017, 2018, 10665 : 499 - 506
  • [37] INTERPOLATION BY PIECEWISE-LINEAR RADIAL BASIS FUNCTIONS .2.
    LIGHT, WA
    CHENEY, EW
    JOURNAL OF APPROXIMATION THEORY, 1991, 64 (01) : 38 - 54
  • [38] Curvature-Based Characterization of Radial Basis Functions: Application to Interpolation
    Heidari, Mohammad
    Mohammadi, Maryam
    De Marchi, Stefano
    MATHEMATICAL MODELLING AND ANALYSIS, 2023, 28 (03) : 415 - 433
  • [39] Improved error bounds for scattered data interpolation by radial basis functions
    Schaback, R
    MATHEMATICS OF COMPUTATION, 1999, 68 (225) : 201 - 216
  • [40] Ship geometry modelling using radial basis functions interpolation methods
    Ban, D.
    Blagojevic, B.
    Barle, J.
    ADVANCED SHIP DESIGN FOR POLLUTION PREVENTION, 2010, : 307 - 315