Fractal interpolation surfaces derived from Fractal interpolation functions

被引：54
|
作者：
Bouboulis, P. [1 ]
Dalla, L.
机构：
[1] Univ Athens, Dept Informat Telecommun Telecommun & Signal P, GR-15784 Athens, Greece
[2] Univ Athens, Dept Math Mathemat Anal, GR-15784 Athens, Greece
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 02期
关键词：
Fractal interpolation functions; Fractal interpolation surfaces; box counting dimension; Fractals; smooth fractal surfaces;
D O I：
10.1016/j.jmaa.2007.01.112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the construction of Fractal Interpolation Functions, a new construction of Fractal Interpolation Surfaces on arbitrary data is presented and some interesting properties of them are proved. Finally, a lower bound of their box counting dimension is provided. (c) 2007 Elsevier Inc. All rights reserved.
引用
下载
收藏
页码：919 / 936
页数：18
相关论文
共 50 条
  • [1] Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions
    Feng, Zhigang
    Sun, Xiuqing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) : 416 - 425
  • [2] Smooth fractal surfaces derived from bicubic rational fractal interpolation functions
    Fangxun Bao
    Xunxiang Yao
    Qinghua Sun
    Yunfeng Zhang
    Caiming Zhang
    Science China Information Sciences, 2018, 61
  • [3] Smooth fractal surfaces derived from bicubic rational fractal interpolation functions
    Bao, Fangxun
    Yao, Xunxiang
    Sun, Qinghua
    Zhang, Yunfeng
    Zhang, Caiming
    SCIENCE CHINA-INFORMATION SCIENCES, 2018, 61 (09)
  • [4] Smooth fractal surfaces derived from bicubic rational fractal interpolation functions
    Fangxun BAO
    Xunxiang YAO
    Qinghua SUN
    Yunfeng ZHANG
    Caiming ZHANG
    Science China(Information Sciences), 2018, 61 (09) : 335 - 345
  • [5] FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES
    Ri, Songil
    Nam, Songmin
    Kim, Hyonchol
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (02)
  • [6] Fractal Calculus on Fractal Interpolation Functions
    Gowrisankar, Arulprakash
    Khalili Golmankhaneh, Alireza
    Serpa, Cristina
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [7] FRACTAL FUNCTIONS AND INTERPOLATION
    BARNSLEY, MF
    CONSTRUCTIVE APPROXIMATION, 1986, 2 (04) : 303 - 329
  • [8] The study on bivariate fractal interpolation functions and creation of fractal interpolated surfaces
    Xie, HP
    Sun, HQ
    FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE, 1997, 5 (04): : 625 - 634
  • [9] Closed fractal interpolation surfaces
    Bouboulis, P.
    Dalla, L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 116 - 126
  • [10] FRACTAL MULTIQUADRIC INTERPOLATION FUNCTIONS
    Kumar, D.
    Chand, A.K.B.
    Massopust, P.R.
    SIAM Journal on Numerical Analysis, 2024, 62 (05) : 2349 - 2369
12345