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
    ANTOINE, JP
    CARRETTE, P
    MURENZI, R
    PIETTE, B
    [J]. SIGNAL PROCESSING, 1993, 31 (03) : 241 - 272
  • [2] WAVELET ANALYSIS OF THE SELF-SIMILARITY OF DIFFUSION-LIMITED AGGREGATES AND ELECTRODEPOSITION CLUSTERS
    ARGOUL, F
    ARNEODO, A
    ELEZGARAY, J
    GRASSEAU, G
    [J]. PHYSICAL REVIEW A, 1990, 41 (10): : 5537 - 5560
  • [3] Wavelet based fractal analysis of DNA sequences
    Arneodo, A
    dAubentonCarafa, Y
    Bacry, E
    Graves, PV
    Muzy, JF
    Thermes, C
    [J]. 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
    ARNEODO, A
    ARGOUL, F
    BACRY, E
    MUZY, JF
    TABARD, M
    [J]. 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
    Cox, B. Lea
    Wang, J. S. Y.
    [J]. 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
    DAVIS, A
    MARSHAK, A
    WISCOMBE, W
    CAHALAN, R
    [J]. 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
    DUBUC, B
    QUINIOU, JF
    ROQUESCARMES, C
    TRICOT, C
    ZUCKER, SW
    [J]. PHYSICAL REVIEW A, 1989, 39 (03) : 1500 - 1512
123