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.

引用

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页码：435 / 446

页数：12

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