M. A¨?daa¨?da, Reflection of solar radiation from an array of cumuli, J. Meteorol. Soc. Jpn, vol.55, pp.174-181, 1977.

A. Arnéodo, S. Manneville, J. F. Muzy, and S. G. Roux, Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2415-2438, 1999.
DOI : 10.1098/rsta.1999.0440

P. Auscher, G. Weiss, and M. V. Wickerhauser, Local Sine and Cosine Bases of Coifman and Meyer and the Construction of Smooth Wavelets, Wavelets -A Tutorial in Theory and Applications, pp.237-256, 1992.
DOI : 10.1016/B978-0-12-174590-5.50014-9

H. W. Barker, A Parameterization for Computing Grid-Averaged Solar Fluxes for Inhomogeneous Marine Boundary Layer Clouds. Part I: Methodology and Homogeneous Biases, Journal of the Atmospheric Sciences, vol.53, issue.16, 1996.
DOI : 10.1175/1520-0469(1996)053<2289:APFCGA>2.0.CO;2

H. W. Barker, G. L. Stephens, and Q. Fu, The sensitivity of domain-averaged solar fluxes to assumptions about cloud geometry, Quarterly Journal of the Royal Meteorological Society, vol.103, issue.558, pp.2127-2152, 1999.
DOI : 10.1002/qj.49712555810

G. Beylkin, On the Representation of Operators in Bases of Compactly Supported Wavelets, SIAM Journal on Numerical Analysis, vol.29, issue.6, pp.1716-1740, 1992.
DOI : 10.1137/0729097
URL : https://hal.archives-ouvertes.fr/hal-01322928

G. Beylkin, M. Brewster, and A. Gilbert, A Multiresolution Method for Numerical Reduction and Homogenization of Nonlinear ODEs, Applied and Computational Harmonic Analysis, vol.5, issue.4, pp.450-486, 1998.
DOI : 10.1006/acha.1998.0250

F. Bouchon, Modèles Sous-Mailles et Schémas Multi-Niveaux. Application`AApplication` Application`A la Simulation Des GrandesÉchellesGrandes´GrandesÉchelles D'´ ecoulements Turbulents, 1999.

M. Brewster and G. Beylkin, A Multiresolution Strategy for Numerical Homogenization, Applied and Computational Harmonic Analysis, vol.2, issue.4, pp.327-349, 1995.
DOI : 10.1006/acha.1995.1024

R. Cahalan, Bounded cascade clouds: albedo and effective thickness, Proc. Geophys. 1, pp.156-167, 1994.
DOI : 10.5194/npg-1-156-1994
URL : https://hal.archives-ouvertes.fr/hal-00301739

R. Cahalan, W. Ridgway, W. J. Wiscombe, and T. L. Bell, The Albedo of Fractal Stratocumulus Clouds, Journal of the Atmospheric Sciences, vol.51, issue.16, pp.51-2434, 1994.
DOI : 10.1175/1520-0469(1994)051<2434:TAOFSC>2.0.CO;2

B. Cairns, A. A. Lacis, and B. E. Carlson, Absorption within Inhomogeneous Clouds and Its Parameterization in General Circulation Models, Journal of the Atmospheric Sciences, vol.57, issue.5, pp.700-714, 2000.
DOI : 10.1175/1520-0469(2000)057<0700:AWICAI>2.0.CO;2

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluids Dynamics, 1988.
DOI : 10.1007/978-3-642-84108-8

R. D. Cess and G. Potter, Intercomparison and interpretation of climate feedback processes in 19 atmospheric general circulation models, Journal of Geophysical Research, vol.92, issue.D10, pp.16601-16615, 1990.
DOI : 10.1029/JD095iD10p16601

R. D. Cess, M. H. Zhang, P. Minnis, L. Corsetti, E. G. Dutton et al., Absorption of Solar Radiation by Clouds: Observations Versus Models, Science, vol.116, issue.5197, pp.496-499, 1995.
DOI : 10.1126/science.267.5197.499

S. Chandrasekhar, Radiative Transfer, 1960.

P. Charton, Produits de Matrices Rapides En Bases D'ondelettes : Application`AApplication` Application`A la Résolution Numérique D'´ equations Aux Dérivées Partielles, 1996.

P. Charton and V. Perrier, A pseudo-wavelet scheme for the two-dimensional Navier- Stokes equations, Comp. Appl. Math, vol.15, pp.137-157, 1996.

R. R. Coifman and Y. Meyer, Remarques sur l'analyse de FourieràFourierà fenêtre, série I, C. R. Acad. Sci. pp, pp.259-261, 1991.

W. Dahmen, S. Prössdorf, and R. Schneider, Multiscale methods for pseudodifferential equations on manifolds, Wavelet Analysis and its Applications, pp.385-424, 1995.

W. Dahmen and R. Schneider, Composite wavelet bases for operator equations, Mathematics of Computation, vol.68, issue.228, pp.1533-1567, 1999.
DOI : 10.1090/S0025-5718-99-01092-3

I. Daubechies, Ten Lectures on Wavelets, CBMS NSF Series in Applied Math, 1992.

A. Davis and A. Marshak, Multiple scattering in clouds : Insights from threedimensional diffusion/ p1 theory, Nuclear Science and Engineering, vol.137, pp.251-280, 2001.

A. Davis, A. Marshak, R. Cahalan, and W. Wiscombe, The Landsat Scale Break in Stratocumulus as a Three-Dimensional Radiative Transfer Effect: Implications for Cloud Remote Sensing, Journal of the Atmospheric Sciences, vol.54, issue.2, pp.241-260, 1997.
DOI : 10.1175/1520-0469(1997)054<0241:TLSBIS>2.0.CO;2

A. Davis, A. Marshak, and E. Clothiaux, Anisotropic multi-resolution analysis in 2d, application to long-range correlations in cloud mm-radar fields, SPIE Conference on Wavelet Applications VI, 1999.

A. Davis, A. Marshak, and W. Wiscombe, Wavelet-based multifractal analysis of nonstationnary and/or intermittent geophysical signals, Wavelets in Geophysics pp, pp.249-298, 1994.

A. Davis, A. Marshak, W. Wiscombe, and R. Cahalan, Scale Invariance of Liquid Water Distributions in Marine Stratocumulus. Part I: Spectral Properties and Stationarity Issues, Journal of the Atmospheric Sciences, vol.53, issue.11, pp.1538-1558, 1996.
DOI : 10.1175/1520-0469(1996)053<1538:SIOLWD>2.0.CO;2

D. Donoho and I. Johnstone, Ideal denoising in an orthonormal basis chosen from a library of bases, C.R. Acad. Sci. Paris, vol.319, pp.1317-1322, 1994.

C. Duroure and B. Guillemet, Analyse des h??t??rog??n??it??s spatiales des stratocumulus et cumulus, Atmospheric Research, vol.25, issue.4, pp.331-350, 1990.
DOI : 10.1016/0169-8095(90)90018-8

K. F. Evans, The Spherical Harmonics Discrete Ordinate Method for Three-Dimensional Atmospheric Radiative Transfer, Journal of the Atmospheric Sciences, vol.55, issue.3, pp.429-446, 1998.
DOI : 10.1175/1520-0469(1998)055<0429:TSHDOM>2.0.CO;2

M. Farge, N. Kevlahan, V. Perrier, and K. Schneider, Turbulence analysis, modeling and computing using wavelets, Wavelets and Physics, pp.117-200, 1999.

T. Faure, Inversion de Paramètres Microphysiques En Nuages Hétérogènes Par Réseaux de Neurones, 2000.

T. Faure, H. Isaka, and B. Guillemet, Neural network analysis of the radiative interaction between neighboring pixels in inhomogeneous clouds, Journal of Geophysical Research: Atmospheres, vol.56, issue.4, pp.14465-14484, 2001.
DOI : 10.1029/2000JD900686

A. Fournier, Introduction to Orthonormal Wavelet Analysis with Shift Invariance: Application to Observed Atmospheric Blocking Spatial Structure, Journal of the Atmospheric Sciences, vol.57, issue.23, pp.3856-3880, 2000.
DOI : 10.1175/1520-0469(2000)057<3856:ITOWAW>2.0.CO;2

A. Fournier, Atmospheric Energetics in the Wavelet Domain. Part I: Governing Equations and Interpretation for Idealized Flows, Journal of the Atmospheric Sciences, vol.59, issue.7, pp.1182-1197, 2002.
DOI : 10.1175/1520-0469(2002)059<1182:AEITWD>2.0.CO;2

A. Fournier, Atmospheric Energetics in the Wavelet Domain. Part II: Time-Averaged Observed Atmospheric Blocking, Journal of the Atmospheric Sciences, vol.60, issue.2, pp.319-338, 2003.
DOI : 10.1175/1520-0469(2003)060<0319:AEITWD>2.0.CO;2

J. Fröhlich and K. Schneider, An Adaptive Wavelet???Vaguelette Algorithm for the Solution of PDEs, Journal of Computational Physics, vol.130, issue.2, pp.174-190, 1997.
DOI : 10.1006/jcph.1996.5573

P. M. Gabriel and K. F. Evans, Simple Radiative Transfer Methods for Calculating Domain-Averaged Solar Fluxes in Inhomogeneous Clouds, Journal of the Atmospheric Sciences, vol.53, issue.6, pp.858-877, 1996.
DOI : 10.1175/1520-0469(1996)053<0858:SRTMFC>2.0.CO;2

P. M. Gabriel, S. Tsay, and G. L. Stephens, A Fourier???Riccati Approach to Radiative Transfer. Part I: Foundations, Journal of the Atmospheric Sciences, vol.50, issue.18, pp.3125-3147, 1993.
DOI : 10.1175/1520-0469(1993)050<3125:AFATRT>2.0.CO;2

K. Gage and G. Nastrom, Theoretical Interpretation of Atmospheric Wavenumber Spectra of Wind and Temperature Observed by Commercial Aircraft During GASP, Journal of the Atmospheric Sciences, vol.43, issue.7, pp.729-739, 1986.
DOI : 10.1175/1520-0469(1986)043<0729:TIOAWS>2.0.CO;2

V. L. Galinski and V. Ramanathan, 3D Radiative Transfer in Weakly Inhomogeneous Medium. Part I: Diffusive Approximation, Journal of the Atmospheric Sciences, vol.55, issue.18, pp.2946-2959, 1998.
DOI : 10.1175/1520-0469(1998)055<2946:RTIWIM>2.0.CO;2

S. Goedecker, Wavelets And their Applications, for the Solution of Partial Differential Equations in Physics, 1998.

R. M. Goody, Atmospheric Radiation, 1964.

W. W. Grabowski and M. W. Moncrieff, Large-scale organization of tropical convection in two-dimensional explicit numerical simulations: Effects of interactive radiation, Quarterly Journal of the Royal Meteorological Society, vol.52, issue.585, pp.2349-2375, 2002.
DOI : 10.1256/qj.01.104

A. Haar, Zur Theorie der orthogonalen Funktionensysteme, Mathematische Annalen, vol.6, issue.3, pp.331-371, 1910.
DOI : 10.1007/BF01456326
URL : https://hal.archives-ouvertes.fr/hal-01333722

J. Hansen, D. Johnson, A. Lacis, S. Lebedeff, P. Lee et al., Climate Impact of Increasing Atmospheric Carbon Dioxide, Science, vol.213, issue.4511, pp.957-966, 1981.
DOI : 10.1126/science.213.4511.957

D. Harris and E. Foufoula-georgiou, Subgrid variability and stochastic downscaling of modeled clouds: Effects on radiative transfer computations for rainfall retrieval, Journal of Geophysical Research: Atmospheres, vol.110, issue.16, pp.10349-10362, 2001.
DOI : 10.1029/2000JD900797

E. F. Harrison, P. Minnis, R. Barkstrom, V. Ramanathan, R. D. Cess et al., Seasonal variation of cloud radiative forcing derived from the Earth Radiation Budget Experiment, Journal of Geophysical Research, vol.28, issue.D11, pp.18687-18704, 1990.
DOI : 10.1029/JD095iD11p18687

A. Hasegawa, Local Spectral Energetics Analysis for Blocking Anticyclone Using the Orthornormal Wavelet Expansion, 2000.

F. Heurtaux, F. Planchon, and M. V. Wickerhauser, Scale decomposition in Burger's equation, Wavelets : Mathematics and Applications, pp.505-523, 1992.

D. J. Jacob, Introduction to Atmospheric Chemistry, 1999.

J. L. Jensen, Sur les fonctions convexes et les in??galit??s entre les valeurs moyennes, Acta Mathematica, vol.30, issue.0, pp.175-193, 1906.
DOI : 10.1007/BF02418571

E. D. Kolaczyk, Wavelet Methods for the Inversion of Certain Homogeneous Linear Operators in the Presence of Noisy Data, 1994.

K. Kuo, R. C. Weger, R. Welch, and S. Cox, The picard iterative approximation to the solution of the integral equation of radiative transfer???part II. Three-dimensional geometry, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.55, issue.2, pp.195-213, 1996.
DOI : 10.1016/0022-4073(95)00152-2

C. E. Leith, Stochastic backscatter in a subgrid???scale model: Plane shear mixing layer, Physics of Fluids A: Fluid Dynamics, vol.2, issue.3, pp.297-299, 1990.
DOI : 10.1063/1.857779

J. Lenoble, Radiative Transfer in Scattering and Absorbing Atmospheres : Standard and Computational Procedures, A, 1985.

J. Lenoble, Atmospheric Radiative Transfer, A, 1993.

J. Liandrat and P. Tchamitchian, Resolution of the 1d regularized Burgers equation using a spatial wavelet approximation : Algorithm and numerical result, 1990.

D. K. Lilly, Two-Dimensional Turbulence Generated by Energy Sources at Two Scales, Journal of the Atmospheric Sciences, vol.46, issue.13, 1989.
DOI : 10.1175/1520-0469(1989)046<2026:TDTGBE>2.0.CO;2

E. Lorentz, The Nature and Theory of the General Circulation of the Atmosphere, World Met. Org, 1967.

S. Lovejoy, Area-Perimeter Relation for Rain and Cloud Areas, Science, vol.216, issue.4542, pp.185-187, 1982.
DOI : 10.1126/science.216.4542.185

S. Madronich and S. Flocke, The Role of Solar Radiation in Atmospheric Chemistry, 1997.
DOI : 10.1007/978-3-540-69044-3_1

S. Mallat and W. Hwang, Singularity detection and processing with wavelets, IEEE Transactions on Information Theory, vol.38, issue.2, pp.617-643, 1992.
DOI : 10.1109/18.119727
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.5153

S. Mallat and S. Zhong, Characterization of signals from multiscale edges, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.7, pp.710-732, 1992.
DOI : 10.1109/34.142909

G. I. Marchuk, G. A. Mikhailov, M. A. Nazaraliev, R. A. Darbinjan, B. A. Kargin et al., The Monte Carlo Methods in Atmospheric Optics, 1980.
DOI : 10.1007/978-3-540-35237-2

A. Marshak, A. Davis, R. F. Cahalan, and W. Wiscombe, Bounded cascade models as nonstationary multifractals, Physical Review E, vol.49, issue.1, pp.48-69, 1994.
DOI : 10.1103/PhysRevE.49.55

A. Marshak, A. Davis, R. Cahalan, and W. Wiscombe, Nonlocal independent pixel approximation: direct and inverse problems, IEEE Transactions on Geoscience and Remote Sensing, vol.36, issue.1, pp.192-205, 1998.
DOI : 10.1109/36.655329

A. Marshak, A. Davis, W. Wiscombe, and R. Cahalan, Radiative smoothing in fractal clouds, Journal of Geophysical Research, vol.17, issue.D12, pp.26247-26261, 1995.
DOI : 10.1029/95JD02895

W. E. Meador and W. R. Weaver, Two-Stream Approximations to Radiative Transfer in Planetary Atmospheres: A Unified Description of Existing Methods and a New Improvement, Journal of the Atmospheric Sciences, vol.37, issue.3, pp.630-643, 1980.
DOI : 10.1175/1520-0469(1980)037<0630:TSATRT>2.0.CO;2

J. Melton, 3D application of a cartesian grid euler method, Remote Sensing pp. Paper, pp.95-0853, 1995.

C. Meneveau, Analysis of turbulence in the orthonormal wavelet representation, Journal of Fluid Mechanics, vol.30, issue.-1, pp.469-520, 1991.
DOI : 10.1017/S0022112078001846

L. Oreopoulos and H. W. Barker, Accouting for subgrid-scale cloud variability in a multi-layer 1d solar radiative transfer algorithm, Q, J. R. Meteorol. Soc, vol.125, pp.301-330, 1999.

V. Perrier, T. Philipovitch, and C. Basdevant, Wavelet spectra compared to Fourier spectra, Journal of Mathematical Physics, vol.36, issue.3, pp.1506-1519, 1995.
DOI : 10.1063/1.531340

V. Perrier and M. V. Wickerhauser, Multiplication of short wavelet series using connection coefficients, 1999.

V. Ramanathan, B. Subasilar, G. Zhang, W. Conant, R. Cess et al., Warm Pool Heat Budget and Shortwave Cloud Forcing: A Missing Physics?, Science, vol.6, issue.5197, pp.499-503, 1995.
DOI : 10.1126/science.267.5197.496

H. L. Resnikoff, W. , and R. O. , Wavelet Analysis. The Scalable Structure of Information, 1998.

S. Roux, A. Arnéodo, and N. Decoster, 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.765-786, 2000.
DOI : 10.1007/s100510051180

A. Ruggaber, R. Dlugi, A. Bott, R. Forkel, H. Herrman et al., Modelling of radiation quantities and photolysis frequencies in the aqueous phase in the troposphere, Atmospheric Environment, vol.31, issue.19, pp.31-3137, 1997.
DOI : 10.1016/S1352-2310(97)00058-7

P. Schröder and P. Hanrahan, Wavelet Methods for Radiance Computations, 1994.
DOI : 10.1007/978-3-642-87825-1_23

P. Schröder and W. Sweldens, Spherical wavelets, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, 1995.
DOI : 10.1145/218380.218439

G. L. Stephens, Radiative transfer in spatially heterogeneous, two-dimensional, anisotropically scattering media, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.36, issue.1, pp.51-67, 1986.
DOI : 10.1016/0022-4073(86)90015-4

G. L. Stephens, Radiative Transfer through Arbitrarily Shaped Optical Media. Part I: A General Method of Solution, Journal of the Atmospheric Sciences, vol.45, issue.12, pp.1818-1836, 1988.
DOI : 10.1175/1520-0469(1988)045<1818:RTTASO>2.0.CO;2

G. L. Stephens, Radiative Transfer through Arbitrarily Shaped Optical Media. Part II. Group Theory and Simple Closures, Journal of the Atmospheric Sciences, vol.45, issue.12, pp.1837-1848, 1988.
DOI : 10.1175/1520-0469(1988)045<1837:RTTASO>2.0.CO;2

G. L. Stephens and S. C. Tsay, On the cloud absorption anomaly, Quarterly Journal of the Royal Meteorological Society, vol.41, issue.493, pp.671-704, 1990.
DOI : 10.1002/qj.49711649308

G. Stephens and C. Platt, Aircraft Observations of the Radiative and Microphysical Properties of Stratocumulus and Cumulus Cloud Fields, Journal of Climate and Applied Meteorology, vol.26, issue.9, pp.1243-1269, 1987.
DOI : 10.1175/1520-0450(1987)026<1243:AOOTRA>2.0.CO;2

F. Szczap, Etudes Des Effets Des Hétérogénéités Des Nuages sur Leurs Propriétés Radiatives Effectives et Leurs Paramétrisations, 2000.

F. Szczap, H. Isaka, M. Saute, B. Guillemet, and I. Ioltukhovski, Effective radiative properties of bounded cascade nonabsorbing clouds: Definition of the equivalent homogeneous cloud approximation, Journal of Geophysical Research: Atmospheres, vol.52, issue.D16, pp.20617-20634, 2000.
DOI : 10.1029/2000JD900146

F. Szczap, H. Isaka, M. Saute, B. Guillemet, and I. Ioltukhovski, Effective radiative properties of bounded cascade absorbing clouds: Definition of an effective single-scattering albedo, Journal of Geophysical Research: Atmospheres, vol.36, issue.D16, pp.20635-20648, 2000.
DOI : 10.1029/2000JD900145

R. Temam, Multilevel Methods for the Simulation of Turbulence, Journal of Computational Physics, vol.127, issue.2, pp.309-315, 1996.
DOI : 10.1006/jcph.1996.0177

G. E. Thomas and K. Stamnes, Radiative Transfer in the Atmosphere and Ocean, 1999.

A. N. Tikhonov, Solution of Ill-Posed Problems, 1977.

G. K. Vallis, G. J. Shutts, and M. E. Gray, Balanced mesoscale motion and stratified turbulence forced by convection, Quarterly Journal of the Royal Meteorological Society, vol.280, issue.542, pp.1621-1652, 1997.
DOI : 10.1002/qj.49712354209

O. Vasilyev, D. Yuen, and S. Paolucci, The solution of PDE's using wavelets, 1998.

V. Venugopal, F. Porté-agel, E. Foufoula-georgiou, and M. Carper, Mutliscale interactions betwen surface shear stress and velocity in turbulent boundary layers, J. Geo. Res, 2003.

M. Vetterli, Filter banks allowing perfect reconstruction, Signal, Proc. 10, pp.219-244, 1986.

G. Walter and X. Shen, Wavelets and Others Orthogonal Systems, Chapman 1 Hall/CRC (Studies in advanced mathematics), 2001.

R. M. Welch and B. A. Wielicki, Stratocumulus Cloud Field Reflected Fluxes: The Effect of Cloud Shape, Journal of the Atmospheric Sciences, vol.41, issue.21, pp.3085-3103, 1984.
DOI : 10.1175/1520-0469(1984)041<3085:SCFRFT>2.0.CO;2

H. Weng and K. Lau, Wavelets, Period Doubling, and Time???Frequency Localization with Application to Organization of Convection over the Tropical Western Pacific, Journal of the Atmospheric Sciences, vol.51, issue.17, pp.51-2523, 1994.
DOI : 10.1175/1520-0469(1994)051<2523:WPDATL>2.0.CO;2

D. S. Wilks, Statistical Methods in the Atmospheric Sciences, International Geophysics Series, issue.59, 1995.

M. Yamada and K. Ohkitani, Orthonormal wavelet expansion and its application to turbulence, Progress of theoretical physics 86, pp.819-823, 1990.

M. Yamada and K. Ohkitani, An identification of Energy Cascade in Turbulence by Orthonormal Wavelet Analysis, Progress of theoretical physics, pp.799-815, 1991.
DOI : 10.1143/ptp/86.4.799

J. I. Yano, M. W. Moncrieff, and X. Wu, Wavelet Analysis of Simulated Tropical Convective Cloud Systems. Part II: Decomposition of Convective-Scale and Mesoscale Structure, Journal of the Atmospheric Sciences, vol.58, issue.8, 2001.
DOI : 10.1175/1520-0469(2001)058<0868:WAOSTC>2.0.CO;2

J. I. Yano, M. W. Moncrieff, X. Wu, and M. Yamada, Wavelet Analysis of Simulated Tropical Convective Cloud Systems. Part I: Basic Analysis, Journal of the Atmospheric Sciences, vol.58, issue.8, pp.58-850, 2001.
DOI : 10.1175/1520-0469(2001)058<0850:WAOSTC>2.0.CO;2