Wavelet based multifractal analysis of rough surfaces: Application to cloud models and satellite data

被引：71

作者：

Arrault, J

Arneodo, A

Davis, A

Marshak, A

机构：

[1] NASA,GODDARD SPACE FLIGHT CTR,CLIMATE & RADIAT BRANCH,GREENBELT,MD 20771

[2] CTR RECH PAUL PASCAL,F-33600 PESSAC,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.79.75

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The wavelet transform modulus maxima (WTMM) method is generalized to multifractal image analysis, providing a statistical characterization of the fluctuating roughness of fractal surfaces. This isotropic 2D version of WTMM methodology is calibrated on deterministic self-similar interfaces and random self-affine surfaces (fractional Brownian surfaces and multifractal counterparts). Applications to high-resolution satellite data and simulated radiance fields for stratocumulus clouds are presented.

引用

收藏

页码：75 / 78

页数：4

相关论文

共 30 条

[1] IMAGE-ANALYSIS WITH 2-DIMENSIONAL CONTINUOUS WAVELET TRANSFORM [J].

ANTOINE, JP ;

CARRETTE, P ;

MURENZI, R ;

PIETTE, B .

SIGNAL PROCESSING, 1993, 31 (03) :241-272

[2] WAVELET ANALYSIS OF THE SELF-SIMILARITY OF DIFFUSION-LIMITED AGGREGATES AND ELECTRODEPOSITION CLUSTERS [J].

ARGOUL, F ;

ARNEODO, A ;

ELEZGARAY, J ;

GRASSEAU, G .

PHYSICAL REVIEW A, 1990, 41 (10) :5537-5560

[3] Wavelet based fractal analysis of DNA sequences [J].

Arneodo, A ;

dAubentonCarafa, Y ;

Bacry, E ;

Graves, PV ;

Muzy, JF ;

Thermes, C .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 96 (1-4) :291-320

[4]

Arneodo A, 1997, J PHYS II, V7, P363, DOI 10.1051/jp2:1997130

[5] GOLDEN MEAN ARITHMETIC IN THE FRACTAL BRANCHING OF DIFFUSION-LIMITED AGGREGATES [J].

ARNEODO, A ;

ARGOUL, F ;

BACRY, E ;

MUZY, JF ;

TABARD, M .

PHYSICAL REVIEW LETTERS, 1992, 68 (23) :3456-3459

[6]

ARRAULT J, 1995, THESIS U BORDEAUX 1

[7] FRACTAL SURFACES: MEASUREMENT AND APPLICATIONS IN THE EARTH SCIENCES [J].

Cox, B. Lea ;

Wang, J. S. Y. .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (01) :87-115

[8] MULTIFRACTAL CHARACTERIZATIONS OF NONSTATIONARITY AND INTERMITTENCY IN GEOPHYSICAL FIELDS - OBSERVED, RETRIEVED, OR SIMULATED [J].

DAVIS, A ;

MARSHAK, A ;

WISCOMBE, W ;

CAHALAN, R .

JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 1994, 99 (D4) :8055-8072

[9]

DAVIS A, 1996, J ATMOS SCI, V54, P241

[10] EVALUATING THE FRACTAL DIMENSION OF PROFILES [J].

DUBUC, B ;

QUINIOU, JF ;

ROQUESCARMES, C ;

TRICOT, C ;

ZUCKER, SW .

PHYSICAL REVIEW A, 1989, 39 (03) :1500-1512