Construction of adapted subdivision schemes for bounded intervals based on radial basis function interpolation

被引：1
|
作者：
Yoon J. [1 ,2 ]
机构：
[1] Department of Mathematics, Ewha W. University
[2] Department of Mathematics, Ewha W. University, Seoul
来源：
Journal of Applied Mathematics and Computing | 2007年 / 24卷 / 1-2期
关键词：
Interpolation; Radial basis function; Stationary subdivision;
D O I：
10.1007/BF02832303
中图分类号：
学科分类号：
摘要：
We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say λ, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed. © 2007 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
引用
收藏
页码：95 / 104
页数：9
相关论文
共 50 条
  • [1] Stationary binary subdivision schemes using radial basis function interpolation
    Lee, Byung-Gook
    Lee, Yeon Ju
    Yoon, Jungho
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 25 (1-3) : 57 - 72
  • [2] Stationary binary subdivision schemes using radial basis function interpolation
    Byung-Gook Lee
    Yeon Ju Lee
    Jungho Yoon
    Advances in Computational Mathematics, 2006, 25 : 57 - 72
  • [3] Analysis of stationary subdivision schemes for curve design based on radial basis function interpolation
    Lee, Yeon Ju
    Yoon, Jungho
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3851 - 3859
  • [4] A discrete adapted hierarchical basis solver for radial basis function interpolation
    Castrillon-Candas, Julio E.
    Li, Jun
    Eijkhout, Victor
    BIT NUMERICAL MATHEMATICS, 2013, 53 (01) : 57 - 86
  • [5] A discrete adapted hierarchical basis solver for radial basis function interpolation
    Julio E. Castrillón-Candás
    Jun Li
    Victor Eijkhout
    BIT Numerical Mathematics, 2013, 53 : 57 - 86
  • [6] Interpolating subdivision surface based on radial basis function
    Zhang, Yong
    Yin, Baocai
    Kong, Dehui
    Wen, Wen
    Journal of Information and Computational Science, 2009, 6 (05): : 2105 - 2112
  • [7] Mesh deformation based on radial basis function interpolation
    de Boer, A.
    van der Schoot, M. S.
    Bijl, H.
    COMPUTERS & STRUCTURES, 2007, 85 (11-14) : 784 - 795
  • [8] Bivariate interpolation based on univariate subdivision schemes
    Sharon, Nir
    Dyn, Nira
    JOURNAL OF APPROXIMATION THEORY, 2012, 164 (05) : 709 - 730
  • [9] Radial basis function interpolation surface
    Yin, Baocai
    Gao, Wen
    Journal of Computer Science and Technology, 1998, 13 (Suppl): : 63 - 68
  • [10] A radial basis function interpolation surface
    Yin, BC
    Gao, W
    FIFTH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN & COMPUTER GRAPHICS, VOLS 1 AND 2, 1997, : 391 - 394
12345