The Experts below are selected from a list of 33 Experts worldwide ranked by ideXlab platform
N. Decoster - One of the best experts on this subject based on the ideXlab platform.
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A Wavelet‐based method for multifractal analysis of rough surfaces : Applications to high‐resolution satellite images of cloud structure
AIP Conference Proceedings, 2002Co-Authors: Alain Arneodo, Stéphane Roux, N. DecosterAbstract: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 of the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. This analysis reveals that with the available set of experimental data, there is no way to discriminate between various phenomeno‐logical cascade models recently proposed to account for intermittency and their log‐normal approximations. We emphasize the log‐normal random W‐cascade model on separable Wavelet Orthogonal Basis introduced in (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.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 of the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. This analysis reveals that with the available set of experimental data, there is no way to discriminate between various phenomeno‐logical cascade models recently proposed to account for intermittency and their log‐normal approximations. We emphasize the log‐normal random W‐cascade model on separable Wavelet Orthogonal Basis introduced in (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 te...
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B - Condensed Matter and Complex Systems, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the 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 -cascade model on separable Wavelet Orthogonal Basis introduced in paper II (N. Decoster, S.G. Roux, A. Arnéodo, 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.
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the \(\) 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 \(\)-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.
Alain Arneodo - One of the best experts on this subject based on the ideXlab platform.
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A Wavelet‐based method for multifractal analysis of rough surfaces : Applications to high‐resolution satellite images of cloud structure
AIP Conference Proceedings, 2002Co-Authors: Alain Arneodo, Stéphane Roux, N. DecosterAbstract: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 of the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. This analysis reveals that with the available set of experimental data, there is no way to discriminate between various phenomeno‐logical cascade models recently proposed to account for intermittency and their log‐normal approximations. We emphasize the log‐normal random W‐cascade model on separable Wavelet Orthogonal Basis introduced in (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.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 of the radiance fields confirms the relevance of the multifractal description to account for the intermittent nature of marine stratocumulus clouds. This analysis reveals that with the available set of experimental data, there is no way to discriminate between various phenomeno‐logical cascade models recently proposed to account for intermittency and their log‐normal approximations. We emphasize the log‐normal random W‐cascade model on separable Wavelet Orthogonal Basis introduced in (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 te...
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B - Condensed Matter and Complex Systems, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the 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 -cascade model on separable Wavelet Orthogonal Basis introduced in paper II (N. Decoster, S.G. Roux, A. Arnéodo, 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.
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the \(\) 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 \(\)-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.
S.g. Roux - One of the best experts on this subject based on the ideXlab platform.
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B - Condensed Matter and Complex Systems, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the 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 -cascade model on separable Wavelet Orthogonal Basis introduced in paper II (N. Decoster, S.G. Roux, A. Arnéodo, 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.
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A Wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure
The European Physical Journal B, 2000Co-Authors: S.g. Roux, Alain Arneodo, N. DecosterAbstract:We apply the 2D Wavelet transform modulus maxima (WTMM) method to high-resolution LANDSAT satellite images of cloudy scenes. The computation of the \(\) 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 \(\)-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.
Muzy Jean-françois - One of the best experts on this subject based on the ideXlab platform.
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Continuous cascades in the Wavelet space as models for synthetic turbulence
'American Physical Society (APS)', 2018Co-Authors: Muzy Jean-françoisAbstract:We introduce a wide family of stochastic processes that are obtained as sums of self-similar localized "waveforms" with multiplicative intensity in the spirit of the Richardson cascade picture of turbulence. We establish the convergence and the minimum regularity of our construction. We show that its continuous Wavelet transform is characterized by stochastic self-similarity and multifractal scaling properties. This model constitutes a stationary, "grid free", extension of $\cal W$-cascades introduced in the past by Arneodo, Bacry and Muzy using Wavelet Orthogonal Basis. Moreover our approach generically provides multifractal random functions that are not invariant by time reversal and therefore is able to account for skewed multifractal models and for the so-called "leverage effect". In that respect, it can be well suited to providing synthetic turbulence models or to reproducing the main observed features of asset price fluctuations in financial markets.Comment: 42 pages, 13 figure
Jean-françois Muzy - One of the best experts on this subject based on the ideXlab platform.
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Continuous cascades in the Wavelet space as models for synthetic turbulence
Phys.Rev.E, 2019Co-Authors: Jean-françois MuzyAbstract:We introduce a wide family of stochastic processes that are obtained as sums of self-similar localized “wave forms” with multiplicative intensity in the spirit of the Richardson cascade picture of turbulence. We establish the convergence and the minimum regularity of our construction. We show that its continuous Wavelet transform is characterized by stochastic self-similarity and multifractal scaling properties. This model constitutes a stationary, “grid free” extension of W cascades introduced in the past by Arneodo, Bacry, and Muzy using a Wavelet Orthogonal Basis. Moreover, our approach generically provides multifractal random functions that are not invariant by time reversal and therefore is able to account for skewed multifractal models and for the so-called “leverage effect.” In that respect, it can be well suited to providing synthetic turbulence models or to reproducing the main observed features of asset price fluctuations in financial markets.
