BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON RECTANGULAR DOMAINS

被引：0
|
作者：
Xiao-yuan Qian (Department of Applied Mathematics
机构：
来源：
Journal of Computational Mathematics | 2002年 / 04期
关键词：
Fractal; Bivariate functions; Interpolation;
D O I：
暂无
中图分类号：
O241.3 [插值法];
学科分类号：
070102 ;
摘要：
AbstractNon-tensor product bivariate fractal interpolation functions defined on gridded rectangular domains are constructed. Linear spaces consisting of these functions are introduced. The relevant Lagrange interpolation problem is discussed. A negative result about the existence of affine fractal interpolation functions defined on such domains is obtained.
引用
收藏
页码：349 / 362
页数：14
相关论文
共 50 条
  • [41] AN ERROR ANALYSIS FOR BIVARIATE INTERPOLATION OF ANALYTIC FUNCTIONS
    BARNHILL, RE
    WIXOM, JA
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1969, 6 (03) : 450 - +
  • [42] RECURRENT FRACTAL INTERPOLATION SURFACES ON TRIANGULAR DOMAINS
    Liang, Zhen
    Ruan, Huo-Jun
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (05)
  • [43] A bivariate fractal interpolation surface with an individual vertical scaling factor
    Okazaki, Hideaki
    Ueno, Shota
    Nakano, Hideo
    2016 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2016, : 686 - 689
  • [44] Image compression using recurrent bivariate fractal interpolation surfaces
    Bouboulis, P.
    Dalla, Leoni
    Drakopoulos, V.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (07): : 2063 - 2071
  • [45] Bivariate Barycentric and Newton Rational Interpolation Over Rectangular Grids
    Cai, Zhidan
    Fang, Ming
    Li, Zhe
    Yang, Longfei
    INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2022, 36 (15)
  • [46] Affine recurrent fractal interpolation functions
    N. Balasubramani
    A. Gowrisankar
    The European Physical Journal Special Topics, 2021, 230 : 3765 - 3779
  • [47] Univariable affine fractal interpolation functions
    V. Drakopoulos
    N. Vijender
    Theoretical and Mathematical Physics, 2021, 207 : 689 - 700
  • [48] HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS
    BARNSLEY, MF
    ELTON, J
    HARDIN, D
    MASSOPUST, P
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (05) : 1218 - 1242
  • [49] Resampling and reconstruction with fractal interpolation functions
    Price, JR
    Hayes, MH
    IEEE SIGNAL PROCESSING LETTERS, 1998, 5 (09) : 228 - 230
  • [50] Affine zipper fractal interpolation functions
    A. K. B. Chand
    N. Vijender
    P. Viswanathan
    A. V. Tetenov
    BIT Numerical Mathematics, 2020, 60 : 319 - 344
12345