EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS

被引：21

作者：

Clausel, M. ^{[1
]}

Vedel, B. ^{[2
]}

机构：

[1] Univ Lyon, CNRS, UMR 5208, Inst Camille Jordan,INSA Lyon, F-69621 Villeurbanne, France

[2] Univ Europeene Bretagne, Univ Bretagne Sud, Lab Math & Applicat Math, Ctr Yves Coppens, F-56017 Vannes, France

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2011年 / 19卷 / 01期

关键词：

Operator Scaling Gaussian Random Field; Anisotropy; Pseudo-Norms; Harmonizable Representation;

D O I：

10.1142/S0218348X11005208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose an explicit way to generate a large class of Operator scaling Gaussian random fields (OSGRF). Such fields are anisotropic generalizations of self-similar fields. More specifically, we are able to construct any Gaussian field belonging to this class with given Hurst index and exponent. Our construction provides - for simulations of texture as well as for detection of anisotropies in an image - a large class of models with controlled anisotropic geometries and structures.

引用

页码：101 / 111

页数：11

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