A. Ayache, P. Bertrand, and J. L. Véhel, A central limit theorem for the quadratic variations of the step fractional Brownian motion, Stat. Inference Stoch. Process, vol.10, pp.1-27, 2007.

J. Ayache and J. Lévy-véhel, Generalized multifractional Brownian motion: definition and preliminary results, Fractals: Theory and Applications in Engineering, pp.17-32, 1999.
URL : https://hal.archives-ouvertes.fr/inria-00578657

J. Ayache and J. Lévy-véhel, On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion, Stoch. Proc. Appl, vol.111, issue.1, pp.119-156, 2004.

A. Benassi, P. Bertrand, S. Cohen, and J. Istas, Identification of the Hurst index of a step Fractional Brownian motion, Stat. Inference Stoch. Process, vol.3, issue.1, pp.101-111, 2000.

A. Benassi, S. Cohen, and J. Istas, Identifying the multifractional function of a Gaussian process, Statist. Probab. Lett, vol.39, pp.337-345, 1998.

A. Benassi, S. Cohen, and J. Istas, Identification and properties of real harmonizable fractional Lévy motions, Bernoulli, vol.8, issue.1, pp.97-115, 2002.

A. Benassi, S. Istas, and J. Jaffard, Identification of filtered white noises, Stoch. Proc. Appl, vol.75, pp.31-49, 1998.

A. Benassi, S. Jaffard, and D. Roux, Elliptic Gaussian random processes, Rev. Mathem. Iberoamericana, vol.13, issue.1, pp.19-89, 1997.

D. Benson, M. M. Meerschaert, B. Bäumer, and H. P. Scheffler, Aquifer operator-scaling and the effect on solute mixing and dispersion, Water Resour. Res, vol.42, pp.1-18, 2006.

H. Biermé, C. L. Benhamou, and F. Richard, Parametric estimation for Gaussian operatorscaling random fields and anisotropy analysis of bone radiograph textures, Proc. of MICCAI, pp.13-24, 2009.

H. Biermé, A. Bonami, and J. R. León, Central limit theorems and quadratic variations in terms of spectral density, Electron. J. Probab, vol.16, issue.13, pp.362-395, 2011.

H. Biermé, C. Lacaux, and H. P. Scheffler, Multi-operator scaling random fields, Stoch. Proc. Appl, vol.121, issue.11, pp.2642-2677, 2011.

H. Biermé, M. M. Meerschaert, and H. P. Scheffler, Operator scaling stable random fields, Stoch. Proc. Appl, vol.117, issue.3, pp.312-332, 2007.

H. Biermé, M. Moisan, and F. Richard, A turning-band method for the simulation of anisotropic fractional Brownian field, J. Comput. Graph. Statist, vol.24, issue.3, pp.885-904, 2015.

H. Biermé and F. Richard, Analysis of texture anisotropy based on some Gaussian fields with spectral density, Mathematical Image Processing, pp.59-73, 2011.

H. Biermé and F. J. Richard, Estimation of anisotropic Gaussian fields through Radon transform, ESAIM: Probab. Stat, vol.12, issue.1, pp.30-50, 2008.

A. Bonami and A. Estrade, Anisotropic analysis of some Gaussian models, J. Fourier Anal. Appl, vol.9, pp.215-236, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00087790

G. Chan and T. A. Wood, Increment-based estimators of fractal dimension for twodimensional surface data, Stat. Sinica, vol.10, pp.343-376, 2000.

J. P. Chilès and P. Delfiner, Geostatistics: modeling spatial uncertainty, 2012.

M. Clausel and B. Vedel, Explicit construction of operator scaling Gaussian random fields, Fractals, vol.19, issue.01, pp.101-111, 2011.

J. F. Coeurjolly, Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths, Stat. Inference Stoch. Process, vol.4, pp.199-227, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00383118

J. F. Coeurjolly, Identification of multifractional Brownian motion, Bernoulli, vol.11, issue.6, pp.987-1008, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00383115

S. Cohen and J. Istas, Fractional fields and applications, vol.73, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00871783

K. Falconer, Tangent fields and the local structure of random fields, J. Theoret. Probab, vol.15, issue.3, pp.731-750, 2002.

J. Istas and G. Lang, Quadratic variations and estimation of the local Hölder index of a Gaussian process, Ann. Inst. Henri Poincaré, vol.33, issue.4, pp.407-436, 1997.

A. N. Kolmogorov, Wienersche spiralen und einige andere interessante kurven im hibertschen raum, Acad.Sci.URSS, vol.26, pp.115-118, 1940.

B. B. Mandelbrot and J. Van-ness, Fractional Brownian motion, fractional noises and applications, SIAM Rev, vol.10, pp.422-437, 1968.

G. Matheron, The intrinsic random functions and their applications, Ad. Appl. Prob, vol.5, pp.439-468, 1973.

R. F. Peltier and J. L. Vehel, Multifractional Brownian motion: definition and preliminary results, INRIA, 1996.
URL : https://hal.archives-ouvertes.fr/inria-00074045

K. Polisano, Modélisation de textures anisotropes par la transformée en ondelettes monogènes, et super-résolution de lignes 2-D, 2017.

K. Polisano, M. Clausel, V. Perrier, and L. Condat, Texture modeling by Gaussian fields with prescribed local orientation, Int Conf on Image Processing (ICIP), pp.6091-6095, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00994811

F. J. Richard, Analysis of anisotropic Brownian textures and application to lesion detection in mammograms, Procedia Environ. Sci, vol.27, pp.16-20, 2015.

F. J. Richard, Some anisotropy indices for the characterization of Brownian textures and their application to breast images, Spat. Stat, vol.18, pp.147-162, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01270596

F. J. Richard, Tests of isotropy for rough textures of trended images, Stat. Sinica, vol.26, issue.3, pp.1279-1304, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01075870

F. J. Richard, Anisotropy of Hölder Gaussian random fields: characterization, estimation, and application to image textures, Stat. Comput, vol.28, issue.6, pp.1155-1168, 2018.

F. J. Richard and H. Biermé, Statistical tests of anisotropy for fractional Brownian textures. Application to full-field digital mammography, J. Math. Imaging Vis, vol.36, issue.3, pp.227-240, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00177770

Z. Zhu and M. L. Stein, Parameter estimation for fractional Brownian surfaces, Stat. Sinica, vol.12, pp.863-883, 2002.