BOX DIMENSION OF FRACTAL INTERPOLATION SURFACES WITH VERTICAL SCALING FUNCTION

被引：0
|
作者：
Jiang, Lai [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310058, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 03期
关键词：
Fractal Interpolation Surfaces; Box Dimension; Vertical Scaling Matrices;
D O I：
10.1142/S0218348X24500713
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first present a simple lemma which allows us to estimate the box dimension of graphs of given functions by the associated oscillation sums and oscillation vectors. Then we define vertical scaling matrices of generalized affine fractal interpolation surfaces (FISs). By using these matrices, we establish relationships between oscillation vectors of different levels, which enables us to obtain the box dimension of generalized affine FISs under certain constraints.
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页数：11
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