CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems

被引：1
|
作者：
Mantica, Giorgio [1 ,2 ,3 ]
机构：
[1] Univ Insubria, Dipartimento Sci Alta Tecnol, Ctr Nonlinear & Complex Syst, Como, Italy
[2] INFN Sez Milano, Milan, Italy
[3] Grp Nazl Fis Matemat, Indam, Rome, Italy
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 91卷
关键词：
Iterated function systems; Fractal measures; Fractal approximation; CT scans; JACOBI MATRICES; INVERSE PROBLEM; CONSTRUCTION; APPROXIMATION; IFS;
D O I：
10.1016/j.cnsns.2020.105410
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An approximation method of measures in the plane is obtained by combining CT-like (computerized tomography) projections and a one-dimensional fractal approximation technique previously devised by the author. Both methods are based on sampling by orthogonal polynomials and involve operations on Jacobi matrices, to avoid the well known ill conditioning of moment methods. (C) 2020 Elsevier B.V. All rights reserved.
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页数：18
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