J. Antoine and R. Murenzi, Two-dimensional directional wavelets and the scale-angle representation, Signal Processing, vol.52, issue.3, pp.259-281, 1996.
DOI : 10.1016/0165-1684(96)00065-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3528

J. D. Blanchard and I. A. , Matricial filters and crystallographic composite dilation wavelets, Mathematics of Computation, vol.81, issue.278, pp.905-922, 2012.
DOI : 10.1090/S0025-5718-2011-02518-4

E. J. Candès, L. Demanet, D. L. Donoho, and L. Ying, Fast Discrete Curvelet Transforms, Multiscale Modeling & Simulation, vol.5, issue.3, pp.861-899, 2006.
DOI : 10.1137/05064182X

E. J. Candès and D. L. Donoho, Ridgelets: a key to higher-dimensional intermittency?, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2495-2509, 1999.
DOI : 10.1098/rsta.1999.0444

E. J. Candès and D. L. Donoho, Curvelets ? a surprizingly effective nonadaptive representation for objects with edges, Curve and Surface Fitting, 1999.

A. Cohen, I. Daubechies, and J. C. Feauveau, Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.10, issue.5, pp.485-560, 1992.
DOI : 10.1002/cpa.3160450502

A. Cohen and J. M. Schlenker, Compactly supported bidimensional wavelet bases with hexagonal symmetry, Constructive Approximation, pp.209-236, 1993.
DOI : 10.1007/bf01198004

D. L. Donoho, Orthonormal Ridgelets and Linear Singularities, SIAM Journal on Mathematical Analysis, vol.31, issue.5, pp.311062-1099, 2000.
DOI : 10.1137/S0036141098344403
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.379.8363

S. Durand, Orthonormal bases of non-separable wavelets with sharp directions, in proc, IEEE Int

S. Durand, M-band filtering and nonredundant directional wavelets, Applied and Computational Harmonic Analysis, vol.22, issue.1, pp.124-139, 2007.
DOI : 10.1016/j.acha.2006.05.006
URL : https://hal.archives-ouvertes.fr/hal-00204978

S. Durand, On the Construction of Discrete Directional Wavelets: HDWT, Space-Frequency Localization, and Redundancy Factor, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1325-1347, 2009.
DOI : 10.1137/070705696
URL : https://hal.archives-ouvertes.fr/hal-00430224

K. Guo, G. Kutyniok, and D. Labate, Sparse multidimensional representations using anisotropic dilation and shear operators, pp.189-201, 2006.

K. Guo, D. Labate, W. Q. Lim, G. Weiss, and E. Wilson, Wavelets with composite dilations and their MRA properties, Applied and Computational Harmonic Analysis, vol.20, issue.2, pp.202-236, 2006.
DOI : 10.1016/j.acha.2005.07.002
URL : http://doi.org/10.1016/j.acha.2005.07.002

K. Guo, D. Labate, W. Q. Lim, G. Weiss, and E. Wilson, The theory of wavelets with composite dilations, Harmonic Analysis, pp.231-249, 2006.

A. Kiely and M. Klimesh, The ICER Progressive Wavelet Image Compressor, 2003.

I. A. Kristhal, B. D. Robinson, G. L. Weiss, and E. N. Wilson, Some simple Haar-type wavelets in higher dimensions, Journal of Geometric Analysis, vol.4, issue.3, pp.87-96, 2007.
DOI : 10.1007/BF02922084

I. Iec, Information technology JPEG 2000 image coding system. Part 1: Core coding system, 2000.

N. G. Kingsbury, The dual-tree complex wavelet transform: A new technique for shift invariance and directional filters, in proc, IEEE DSP, 1998.

J. Macarthur and K. F. Taylor, Wavelets with Crystal Symmetry Shifts, Journal of Fourier Analysis and Applications, vol.18, issue.6, pp.1109-1118, 2011.
DOI : 10.1007/s00041-011-9196-z

U. Molter and A. Quintero, Crystallographic Multiwavelets in L 2 (R d ), 2016.

L. Pennec and S. Mallat, Sparse geometric image representations with bandelets, IEEE Transactions on Image Processing, vol.14, issue.4, pp.423-439, 2005.
DOI : 10.1109/TIP.2005.843753

S. Mallat and G. Peyré, Orthogonal Bandlet Bases for Geometric Images Approximation, Comm. on Pure and Applied Math, vol.61, issue.9, pp.1173-1212, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00359740

R. Murenzi, Ondelettes multidimensionnelles et applicationsàapplicationsà l'analyse d'images, 1990.

T. T. Nguyen and S. Oraintara, Multiresolution Direction Filter Banks: Theory, Design and Applications, IEEE Trans. Signal Proc, pp.3895-3905, 2005.
DOI : 10.1109/tsp.2005.855410

I. W. Selesnick, The Double-Density Dual-Tree DWT, IEEE Transactions on Signal Processing, vol.52, issue.5, pp.1304-1314, 2004.
DOI : 10.1109/TSP.2004.826174
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.1139

E. P. Simoncelli and E. H. Adelson, Subband Image Coding with Hexagonal Quadrature Mirror Filters, Picture Coding Symposium, 1990.

E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, Shiftable multiscale transforms, IEEE Transactions on Information Theory, vol.38, issue.2, pp.587-607, 1992.
DOI : 10.1109/18.119725
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.9443

R. Van-spaendonck, T. Blu, R. Baraniuk, and M. Vetterli, Orthogonal Hilbert transform filter banks and wavelets, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)., 2003.
DOI : 10.1109/ICASSP.2003.1201729

R. Yin, Construction of Orthonormal Directional Wavelets based on quincunx dilation subsampling in proc