FRACTAL INTERPOLATION SURFACES AND A RELATED 2-D MULTIRESOLUTION ANALYSIS

被引：73

作者：

GERONIMO, JS ^{[1
]}

HARDIN, D ^{[1
]}

机构：

[1] VANDERBILT UNIV,DEPT MATH,NASHVILLE,TN 37240

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 176卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1232

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the theory of fractal interpolation surfaces. Algorithms are given allowing the construction of these surfaces over polygonal regions with arbitrary interpolation points. A class of invariant measures supported on these surfaces is introduced and discussed as is the fractal dimension of some simple surfaces. Using these surfaces we construct a sequence of nested subspaces forming a generalized multiresolution analysis. © 1993 Academic Press, Inc.

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页码：561 / 586

页数：26

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