INVERSE PROBLEMS IN FRACTAL CONSTRUCTION - MOMENT METHOD SOLUTION

被引：41

作者：

HANDY, CR

MANTICA, G

机构：

[1] Department of Physics, Atlanta University, Atlanta

来源：

PHYSICA D | 1990年 / 43卷 / 01期

关键词：

D O I：

10.1016/0167-2789(90)90013-F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem for several classes of fractals in one and two dimensions can be profitably solved via the application of the classical theory of moments. This new perspective leads to important results on the reconstruction process when only a finite number of moments of the fractal measures are known. While discussing the rigorous aspects of the theory, we also implement it via efficient numerical algorithms. © 1990.

引用

页码：17 / 36

页数：20

共 32 条

[11] MELLIN TRANSFORMS OF CORRELATION INTEGRALS AND GENERALIZED DIMENSION OF STRANGE SETS [J].