, 1:M)=TF(1,3*M+1:4*M)
, A.12 ? Diagramme à moustache
, Estrade ? Identification and wavelet decomposition of anisotropic Gaussian fields, 2001.
, Adler ? The Geometry of Random Field Sellan ? « Wavelet spectrum analysis and 1/f processes, Lecture Notes in Statistics, vol.103, pp.15-30, 1981.
, Taqqu ? Multifractional processes with a most general multifractal spectrum Scissors & R. Wilson ? « Representations , decompositions and sample function continuity of random field with independent increments, Stochastic Process, pp.15-18, 1983.
, A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series, Applied and Computational Harmonic Analysis, vol.14, issue.1, pp.75-82, 2003.
DOI : 10.1016/S1063-5203(03)00002-2
, The Wavelet-Based Synthesis for Fractional Brownian Motion Proposed by F. Sellan and Y. Meyer: Remarks and Fast Implementation, Applied and Computational Harmonic Analysis, vol.3, issue.4, pp.377-383, 1996.
DOI : 10.1006/acha.1996.0030
, Istas ? « Identification and properties of real harmonizable fractional Lévy motions, pp.97-115, 2002.
, Jaffard ? « Identification of filtered white noises », Stochastic Process, Appl, vol.75, issue.1, pp.31-49, 1998.
, Anisotropic Analysis of Some Gaussian Models, Journal of Fourier Analysis and Applications, vol.9, issue.3, pp.215-236, 2003.
DOI : 10.1007/s00041-003-0012-2
URL : https://hal.archives-ouvertes.fr/hal-00087790
, Roux ? « Elliptic Gaussian random processes, Rev. Mathem. Iberoamericana, vol.13, issue.1, pp.19-89, 1997.
, Lemineur ? Relationship between the fractal dimension of a fractional Brownian motion and its projection, 2004.
, Taqqu ? « Semi-parametric estimation of the long-range dependence parameter : a survey, Theory and applications of long-range dependence, pp.557-577, 2003.
, Taqqu ? « Generators of long-range dependence processes : a survey, Theory and applications of long-range dependence, pp.579-623, 2003.
, Fractal Analysis of Radiographic Trabecular Bone Texture and Bone Mineral Density: Two Complementary Parameters Related to Osteoporotic Fractures, Journal of Bone and Mineral Research, vol.8, issue.4, pp.697-704, 2001.
DOI : 10.1359/jbmr.2001.16.4.697
URL : https://hal.archives-ouvertes.fr/hal-00768782
, Novikov???s inversion formula for the attenuated Radon transform???A new approach, Journal of Geometric Analysis, vol.40, issue.2, pp.185-198, 2004.
DOI : 10.1007/BF02922067
, Mandelbrot ? « A class of micropulses and antipersistent fractional Brownian motion », Stochastic Process, Appl, vol.60, pp.1-186, 1995.
, Istas ? An universal estimator of local self-similarity, Preprint, 2003.
, Coeurjolly ? « Inférence statistique pour les mouvements browniens fractionnaires et multifractionnaires Estimating the parameters of fractional Brownian motion by discrete variations of its sample paths, Thèse, pp.199-227, 2000.
, Révész ? Strong approximation in probability and statistics, 1981.
, Tanveer ? Existence and uniqueness of solutions of nonlinear evolution systems of n-th order partial differential equations in the complex plane, Preprint. [CT03] S. Cohen & M. Taqqu ? Small and large scale behavior of the Poissonized Telecom Process, 2001.
, Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix, SIAM Journal on Scientific Computing, vol.18, issue.4, pp.1088-1107, 1997.
DOI : 10.1137/S1064827592240555
, Dobrushin ? « Gaussian and their subordinated self-similar random generalized fields, Ann. Probab, vol.7, issue.1, pp.1-28, 1979.
, Skorohod ? The theory of stochastic processes, 1971.
, Guérin ? « Wavelet analysis and covariance structure of non-stationary processes, J. Fourier Anal. Appl, vol.6, pp.403-425, 2000.
, Vilenkin ? Les Distributions : Applications de l'Analyse Harmonique [Hel99] S. Helgason ? The Radon Transform, Birkhäuser, Lespessailles & D. Tourlière ? « Determination of fractal scales on trabecular bone X-ray images, pp.451-456, 1967.
, Lang ? « Quadratic variations and estimation of the local Hölder index of a Gaussian process, Prob. Stat, vol.33, issue.4, pp.407-436, 1997.
, Estrade ? « Analyse de champs browniens fractionnaires anisotropes, pp.18-99, 2001.
, An improved method for 2-D self-similar image synthesis, IEEE Transactions on Image Processing, vol.5, issue.5, pp.754-761, 1996.
DOI : 10.1109/83.495958
, Shreve ? Brownian Motion and Stochastic Calculus, 1998.
, Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion, The Journal of Fourier Analysis and Applications, vol.21, issue.4, pp.465-494, 1999.
DOI : 10.1007/BF01261639
, Fractional Brownian Motions, Fractional Noises and Applications, SIAM Review, vol.10, issue.4, pp.422-437, 1968.
DOI : 10.1137/1010093
, Mannersalo ? « Simulation of Fractional Brownian Motion with Conditionalized Random Midpoint Displacement Advances in Performance analysis, http://vtt.fi/tte/tte21:traffic/rmdmn. ps, 1999. [Pen00] A. Penttinen ? Simulation of Two-dimensional Fractional Brownian Motion, 2000.
, Bonami ? « nth-order fractional Brownian motion and fractional Gaussian noises, IEEE Trans. Sign. Proc, vol.45, pp.1049-1059, 2001.
, Fast and exact synthesis for 1-D fractional Brownian motion and fractional Gaussian noises, IEEE Signal Processing Letters, vol.9, issue.11, pp.382-384, 2002.
DOI : 10.1109/LSP.2002.805311
URL : https://hal.archives-ouvertes.fr/hal-00768776
, Véhel ? « Multifractional Brownian motion : definition and preliminary results, Qui83] E. T. Quinto ? « The Invertibility of Rotation Invariant Radon Transform, pp.91-510, 1983.
, Weiss ? Introduction to Fourier Analysis on Euclidean Spaces The corpuscle problem : a mathematical study for a biometrical problem, Tricomi ? Integral equations, Interscience, pp.84-99, 1925.