A wavelet-based generalization of the multifractal formalism from scalar to vector valued d- dimensional random fields : from theoretical concepts to experimental applications P. Kestener and A. Arneodo Laboratoire de Physique Ecole Normale Supérieure de Lyon 46, allée d Italie 69364 Lyon cedex 07, FRANCE
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Maxima lines : WT skeleton
help in diagnosis
distortions
fractal ramification microcalcifications
Maxima lines
Maxima lines :
References Generalizing the wavelet-based multifractal formalism to vector-valued random fields : application to turbulent velocity and vorticity 3D numerical data. P. KESTENER & A. ARNEODO, Phys. Rev. Lett. (2004), to appear A wavelet-based method for multifractal analysis of 3D random fields : application to turbulence simulation data. P. KESTENER & A. ARNEODO, in Proc. 4 th Pacific Symposium on Flow visualization and Image Processing, edited by J. Prenel and Y. Bailly (2004), to appear Three-dimensional wavelet-based multifractal method : the need for revisiting the multifractal description of turbulence dissipation data. P. KESTENER & A. ARNEODO, Phys. Rev. Lett. 91, 194501 (2003) A wavelet-based method for multifractal image analysis : from theoretical concepts to experimental applications. A. ARNEODO, N. DECOSTER, P. KESTENER & S.G. ROUX, Advances in Imaging and Electron Physics 126, 1 (2003) Wavelet-based multifractal formalism to assist in diagnosis in digitized mamograms. P. KESTENER, J.M. LINA, P. SAINT-JEAN & A. ARNEODO, Image Anal. Stereol. 20, 169 (2001) A wavelet-based method for multifractal image analysis. I. Methodology and test applications on isotropic rough surfaces. A. ARNEODO, N. DECOSTER & S.G. ROUX, Eur. Phys. J. B 15, 567 (2000) A wavelet-based method for multifractal image analysis. II. Application to synthetic multifractal rough surfaces. N. DECOSTER, S.G. ROUX & A. ARNEODO, Eur. Phys. J. B 15, 739 (2000) A wavelet-based method for multifractal image analysis. III. Application to high resolution satellite images of cloud structure. A. ARNEODO, S.G. ROUX & N. DECOSTER, Eur. Phys. J. B 15, 765 (2000) Intermittency, log-normal statistics and multifractal cascade process in high-resolution stallite images of cloud structure. A. ARNEODO, N. DECOSTER & S.G. ROUX, Phys. Rev. Lett. 83, 1255 (1999)