On the singularity structure of fully developed turbulence Turbulence and Predictability in Geophysical Fluid Dynamics, Proc. Intl School of Physics, pp.84-91, 1985. ,
Fractal measures and their singularities: The characterization of strange sets, Physical Review A, vol.33, issue.2, pp.1141-51 ,
DOI : 10.1103/PhysRevA.33.1141
Wavelet-based statistical signal processing using hidden Markov models, IEEE Transactions on Signal Processing, vol.46, issue.4, pp.886-902, 1998. ,
DOI : 10.1109/78.668544
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.320.2336
Statistics of natural images: Scaling in the woods, Physical Review Letters, vol.73, issue.6, p.814, 1994. ,
DOI : 10.1103/PhysRevLett.73.814
Analysis of velocity fluctuation in turbulence based on generalized statistics, Journal of Physics: Condensed Matter, vol.14, issue.9, pp.2237-2283, 2002. ,
DOI : 10.1088/0953-8984/14/9/312
Amplitude spectra of natural images, Ophthalmic and Physiological Optics, vol.1, issue.2, pp.229-261, 1992. ,
DOI : 10.1111/j.1475-1313.1992.tb00296.x
Designing receptive fields for highest fidelity, Network: Computation in Neural Systems, vol.5, issue.2, pp.147-56, 1994. ,
DOI : 10.1088/0954-898X_5_2_002
Wavelet-Based Multifractal Analysis of Non-Stationary and/or Intermittent Geophysical Signals, pp.249-98, 1994. ,
DOI : 10.1016/B978-0-08-052087-2.50016-5
Scaling and correlation in financial time series Physica A, pp.362-73, 2000. ,
Long-range correlations in nucleotide sequences, Nature, vol.356, issue.6365, pp.168-70, 1992. ,
DOI : 10.1038/356168a0
Multiscale Techniques for the Detection of Precipitation Using Thermal IR Satellite Images, IEEE Geoscience and Remote Sensing Letters, vol.2, issue.4, pp.447-50, 2005. ,
DOI : 10.1109/LGRS.2005.852712
URL : https://hal.archives-ouvertes.fr/hal-00948394
A multifractal model of asset returns Cowles Foundation Discussion Paper No, 1164. ,
Modelling fluctuations of financial time series: from cascade process to stochastic volatility model, The European Physical Journal B, vol.17, issue.3, pp.537-585, 2000. ,
DOI : 10.1007/s100510070131
Wavelets and multifractal formalism for singular signals: Application to turbulence data, Physical Review Letters, vol.67, issue.25, pp.3515-3523, 1991. ,
DOI : 10.1103/PhysRevLett.67.3515
Vergassola M and Vulpiani A 1993 A random process for the construction of multiaffine fields Physica D, pp.352-360 ,
Extended Self-Similarity in the Dissipation Range of Fully Developed Turbulence, Europhysics Letters (EPL), vol.24, issue.4, pp.275-284, 1993. ,
DOI : 10.1209/0295-5075/24/4/007
Singularity spectrum of fractal signals from wavelet analysis: Exact results, Journal of Statistical Physics, vol.36, issue.3-4, pp.635-73, 1993. ,
DOI : 10.1007/BF01053588
Multifractal Formalism for Functions Part I: Results Valid For All Functions, SIAM Journal on Mathematical Analysis, vol.28, issue.4, pp.944-70, 1997. ,
DOI : 10.1137/S0036141095282991
On the multifractal nature of fully developed turbulence and chaotic systems, J. Phys. A: Math. Gen, vol.17, pp.3521-3552, 1984. ,
DOI : 10.1142/9789812799050_0017
Simple multifractal cascade model for fully developed turbulence, Physical Review Letters, vol.59, issue.13, pp.1424-1431, 1987. ,
DOI : 10.1103/PhysRevLett.59.1424
Wavelet Based Multifractal Analysis of Rough Surfaces: Application to Cloud Models and Satellite Data, Physical Review Letters, vol.79, issue.1, pp.75-84, 1997. ,
DOI : 10.1103/PhysRevLett.79.75
A wavelet-based method for multifractal image analysis. III. Applications to high-resolution satellite images of cloud structure, The European Physical Journal B, vol.15, issue.4, pp.765-86, 2000. ,
DOI : 10.1007/s100510051180
Self-Similarity Properties of Natural Images Resemble Those of Turbulent Flows, Physical Review Letters, vol.80, issue.5, pp.1098-101, 1998. ,
DOI : 10.1103/PhysRevLett.80.1098
URL : https://hal.archives-ouvertes.fr/hal-00143846
Scene dependence of the non-Gaussian scaling properties of natural images Network, pp.131-52, 2000. ,
Scale-Independent Measures and Pathologic Cardiac Dynamics, Physical Review Letters, vol.81, issue.11, pp.2388-91, 1998. ,
DOI : 10.1103/PhysRevLett.81.2388
Structure functions in turbulence, in various flow configurations, at Reynolds number between 30 and 5000, using extended self-similarity, Europhysics Letters (EPL), vol.34, issue.6, pp.411-417, 1996. ,
DOI : 10.1209/epl/i1996-00472-2
Dissipation of Energy in the Locally Isotropic Turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.434, issue.1890, p.141, 1941. ,
DOI : 10.1098/rspa.1991.0076
Orientational minimal redundancy wavelets: from edge detection to perception, Vision Research, vol.43, issue.9, pp.1061-79, 2003. ,
DOI : 10.1016/S0042-6989(03)00012-9
URL : https://hal.archives-ouvertes.fr/inria-00527185
The random energy model, Physics Reports, vol.67, issue.1, pp.2613-2639, 1981. ,
DOI : 10.1016/0370-1573(80)90076-9
URL : https://hal.archives-ouvertes.fr/jpa-00232503
Infinitely divisible distributions in turbulence, Physical Review E, vol.50, issue.5, p.3303, 1994. ,
DOI : 10.1103/PhysRevE.50.R3303
A Statistical Analysis of Mesoscale Rainfall as a Random Cascade, Journal of Applied Meteorology, vol.32, issue.2, pp.251-67, 1993. ,
DOI : 10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO;2
Universal Multifractals Do Exist!: Comments on ???A Statistical Analysis of Mesoscale Rainfall as a Random Cascade???, Journal of Applied Meteorology, vol.36, issue.9, pp.1296-303, 1997. ,
DOI : 10.1175/1520-0450(1997)036<1296:UMDECO>2.0.CO;2
The multi-fractal structure of contrast changes in natural images: from sharp edges to textures Neural Comput, pp.763-93, 2000. ,
Multifractal Method for the Instantaneous Evaluation of the Stream Function in Geophysical Flows, Physical Review Letters, vol.95, issue.10, p.104502, 2005. ,
DOI : 10.1103/PhysRevLett.95.104502
Numerical methods for the estimation of multifractal singularity spectra on sampled data: A comparative study, Journal of Computational Physics, vol.216, issue.1, pp.362-90, 2006. ,
DOI : 10.1016/j.jcp.2005.12.004
Application of the microcanonical multifractal formalism to monofractal systems Phys. Rev, p.61110, 2006. ,
Direct determination of the f(??) singularity spectrum and its application to fully developed turbulence, Physical Review A, vol.40, issue.9, pp.5284-94, 1989. ,
DOI : 10.1103/PhysRevA.40.5284
Fractals and Multifractals in Fluid Turbulence, Annual Review of Fluid Mechanics, vol.23, issue.1, pp.539-600, 1991. ,
DOI : 10.1146/annurev.fl.23.010191.002543
Wavelet analysis of fractals: from the mathematical concepts to experimental reality Wavelets, Theory and Applications (ICASE/LaRC Series in Computational Science and Engineering, p.349, 1996. ,
DETERMINING LOCAL SINGULARITY STRENGTHS AND THEIR SPECTRA WITH THE WAVELET TRANSFORM, Fractals, vol.08, issue.02, pp.163-79, 2000. ,
DOI : 10.1142/S0218348X00000184
Oscillating singularities on cantor sets: A grand-canonical multifractal formalism, Journal of Statistical Physics, vol.2, issue.1-2, pp.179-209, 1997. ,
DOI : 10.1007/BF02181485
Singularity spectrum of multifractal functions involving oscillating singularities, The Journal of Fourier Analysis and Applications, vol.28, issue.n.4, pp.159-74, 1998. ,
DOI : 10.1007/BF02475987
Three-Dimensional Wavelet-Based Multifractal Method: The Need for Revisiting the Multifractal Description of Turbulence Dissipation Data, Physical Review Letters, vol.91, issue.19, 2003. ,
DOI : 10.1103/PhysRevLett.91.194501
Multiscaling and information content of natural color images Phys, Rev. E, vol.62, pp.1138-1186, 2000. ,
Universal scaling laws in fully developed turbulence, Physical Review Letters, vol.72, issue.3, pp.336-345, 1994. ,
DOI : 10.1103/PhysRevLett.72.336
Intermittency in fully developed turbulence: Log-Poisson statistics and generalized scale covariance, Physical Review Letters, vol.73, issue.7, pp.959-62, 1994. ,
DOI : 10.1103/PhysRevLett.73.959
Quantized Energy Cascade and Log-Poisson Statistics in Fully Developed Turbulence, Physical Review Letters, vol.74, issue.2, pp.262-267, 1995. ,
DOI : 10.1103/PhysRevLett.74.262
Reconstructing images from their most singular fractal manifold, IEEE Transactions on Image Processing, vol.11, issue.4, pp.345-50, 2002. ,
DOI : 10.1109/TIP.2002.999668
URL : https://hal.archives-ouvertes.fr/inria-00532760
Relevance of multifractal textures in static images Electron, Lett. Comput. Vis. Image Anal, vol.1, pp.35-49, 2003. ,
Measure Theory, volumes 1?5. Torres Fremlin. Also available on, 2001. ,