RECURRENT FRACTAL INTERPOLATION SURFACES ON TRIANGULAR DOMAINS

被引：7
|
作者：
Liang, Zhen [1 ]
Ruan, Huo-Jun [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2019年 / 27卷 / 05期
关键词：
Recurrent Fractal Interpolation Surfaces; Box Dimension; Iterated Function Systems; Function Vertical Scaling Factors; MINKOWSKI DIMENSION; CONSTRUCTION;
D O I：
10.1142/S0218348X19500853
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on triangular domains. Then we introduce affine RFISs, which are easy to be generated while there are no restrictions on interpolation points and vertical scaling factors. We also obtain the box dimension of affine RFISs under certain constraints.
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页数：12
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