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首页> 外文期刊>The European physical journal, B. Condensed matter physics >A wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
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A wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure

机译：基于小波的多重分形图像分析方法。三，云结构高分辨率卫星图像的应用

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We apply the 2D wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the τ(q) and D(h) multifractal spectra for both the optical depth and the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. When assisting the 2D WTMM method by the wavelet based deconvolution method designed to compute the self-similarity kernel, we show that our numerical tools are very efficient to disentangle the anisotropic texture induced by the presence of convective rolls from the background radiance fluctuations which are likely to display isotropic scale invariance. Moreover, this analysis reveals that with the available set of experimental data, there is no way to discriminate between various phenomenological cascade models recently proposed to account for intermittency and their log-normal approximations. When further investigating the "two-point" space-scale correlation functions, we bring definite proof of the existence of an underlying multiplicative structure from an "integral" coarsest scale which is given by the characteristic width of the convective patterns. We emphasize the log-normal random W-cascade model on separable wavelet orthogonal basis introduced in paper II (N. Decoster, S. G. Roux, A, Arneodo, Eur. Phys. J. B 15, 739 (2000)), as a very attractive model (at least as compared to the models commonly used in the literature) of the cloud architecture. Finally, we comment on the multifractal properties of marine stratocumulus radiance fields comparatively to previous experimental analysis of velocity and temperature fluctuations in high Reynolds number turbulence.
机译：我们将二维小波变换模极大值（WTMM）方法应用于多云场景的高分辨率LANDSAT卫星图像。对于光学深度和辐射场的τ（q）和D（h）多重分形光谱的计算证实了多重分形描述对于海洋层积云的间歇性质的相关性。当通过基于小波的反卷积方法（用于设计自相似核）来辅助二维WTMM方法时，我们证明了我们的数值工具非常有效地将对流辊的存在引起的各向异性纹理与可能的背景辐射波动区分开来显示各向同性尺度不变性。此外，该分析表明，利用一组可用的实验数据，无法区分最近提出的用于解释间歇性的各种现象级联模型及其对数正态近似。当进一步研究“两点”空间尺度相关函数时，我们从对流模式的特征宽度给出的“整体”最粗糙尺度上带来了底层乘法结构存在的确定证据。我们非常重视论文II（N. Decoster，SG Roux，A，Arneodo，Eur.Phys.J.B 15，739（2000））中介绍的基于可分离小波正交的对数正态随机W级联模型。云架构的有吸引力的模型（至少与文献中常用的模型相比）。最后，与以前的高雷诺数湍流速度和温度波动的实验分析相比，我们对海洋平流层辐射场的多重分形特性进行了评论。

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