FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS

被引：56
|
作者：
Ruan, Huo-Jun [1 ]
Xu, Qiang [2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 91卷 / 03期
关键词：
fractal interpolation surfaces; iterated function systems; vertical scaling factors; rectangular grids; MINKOWSKI DIMENSION; CONSTRUCTION;
D O I：
10.1017/S0004972715000064
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a general framework to construct fractal interpolation surfaces (FISs) on rectangular grids. Then we introduce bilinear FISs, which can be defined without any restriction on interpolation points and vertical scaling factors.
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页码：435 / 446
页数：12
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