Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical filters, Journal of the Optical Society of America A, vol.2, issue.7, pp.1160-1169, 1985. ,
DOI : 10.1364/JOSAA.2.001160
Spatial frequency selectivity of cells in macaque visual cortex, Vision Research, vol.22, issue.5, pp.545-559, 1982. ,
DOI : 10.1016/0042-6989(82)90113-4
Implementation of a theory of edge detection, 1980. ,
A Computational Theory of Human Stereo Vision, Proceedings of the Royal Society B: Biological Sciences, vol.204, issue.1156, pp.301-328, 1156. ,
DOI : 10.1098/rspb.1979.0029
Theory of Edge Detection, Proceedings of the Royal Society B: Biological Sciences, vol.207, issue.1167, pp.187-217, 1167. ,
DOI : 10.1098/rspb.1980.0020
Fractal Functions, Fractal Surfaces, and Wavelets, 1994. ,
Sparse coding with an overcomplete basis set: A strategy employed by V1?, Vision Research, vol.37, issue.23, pp.3311-3325, 1997. ,
DOI : 10.1016/S0042-6989(97)00169-7
Embedded image coding using zerotrees of wavelet coefficients, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3445-3462, 1993. ,
DOI : 10.1109/78.258085
Wavelet-Based Image Coding: An Overview, Applied and Computational Control, Signals, and Circuits, pp.369-434, 1998. ,
DOI : 10.1007/978-1-4612-0571-5_8
Oscillating patterns in image processing and nonlinear evolution equations, The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures, 2001. ,
DOI : 10.1090/ulect/022
Image Decomposition into a Bounded Variation Component and an Oscillating Component, Journal of Mathematical Imaging and Vision, vol.15, issue.3, pp.71-88, 2005. ,
DOI : 10.1007/s10851-005-4783-8
URL : https://hal.archives-ouvertes.fr/hal-00202001
WITS: Where Is The Star let? http ,
Two-dimensional spectral analysis of cortical receptive field profiles, Vision Research, vol.20, issue.10, pp.847-856, 1980. ,
DOI : 10.1016/0042-6989(80)90065-6
Curvelets ? a surprisingly effective nonadaptive representation for objects with edges, Curves and Surfaces, pp.105-120, 1999. ,
Dictionaries for Sparse Representation Modeling, Proc. IEEE, pp.1045-1057, 2010. ,
DOI : 10.1109/JPROC.2010.2040551
URL : https://hal.archives-ouvertes.fr/inria-00565811
Multiscale geometric image processing, 2003. ,
Geometrical wavelets and their generalizations in digital image coding and processing, 2005. ,
Beyond wavelets: New image representation paradigms, Document and Image Compression, 2006. ,
The Curvelet Transform, IEEE Signal Processing Magazine, vol.27, issue.2, pp.118-133, 2010. ,
DOI : 10.1109/MSP.2009.935453
URL : https://hal.archives-ouvertes.fr/hal-00557892
Curvelets and ridgelets, Encyclopedia of Complexity and Systems Science, pp.1718-1738, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00256318
Sparse Image and Signal Processing: Wavelets, Curvelets, Morphological Diversity, 2010. ,
DOI : 10.1017/CBO9780511730344
URL : https://hal.archives-ouvertes.fr/hal-01132685
Periodicities of the light curve of the semiregular variable star Y Lyncis, Monthly Notices of the Royal Astronomical Society, vol.256, issue.2, pp.321-328, 1992. ,
DOI : 10.1093/mnras/256.2.321
Addendum to " A panorama on multiscale geometric representations, intertwining spatial, directional and frequency selectivity, 2011. ,
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
Frames, Riesz bases, and discrete Gabor/wavelet expansions, Bulletin of the American Mathematical Society, vol.38, issue.03, pp.273-291, 2001. ,
DOI : 10.1090/S0273-0979-01-00903-X
A class of nonharmonic Fourier series, Transactions of the American Mathematical Society, vol.72, issue.2, pp.341-366, 1952. ,
DOI : 10.1090/S0002-9947-1952-0047179-6
The art of frame theory, Taiwanese J. of Math, vol.15, issue.4, pp.129-201, 2000. ,
Life beyond bases: The advent of frames (part I), IEEE Signal Process. Mag, pp.86-104, 2007. ,
Life beyond bases: The advent of frames (part II), IEEE Signal Process. Mag, pp.115-125, 2007. ,
A wavelet tour of signal processing: the sparse way, 2009. ,
The Fourier Transform and Its Applications, American Journal of Physics, vol.34, issue.8, 1986. ,
DOI : 10.1119/1.1973431
Mathematical principles of signal processing: Fourier and wavelet analysis, 2002. ,
DOI : 10.1007/978-1-4757-3669-4
Short term spectral analysis, synthesis, and modification by discrete Fourier transform, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.25, issue.3, pp.235-238, 1977. ,
DOI : 10.1109/TASSP.1977.1162950
A generalized wavelet transform for Fourier analysis: the multiresolution Fourier transform and its application to image and audio signal analysis, IEEE Transactions on Information Theory, vol.38, issue.2, pp.674-690, 1992. ,
DOI : 10.1109/18.119730
Scale-space filtering: A new approach to multi-scale description, ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.150-153, 1984. ,
DOI : 10.1109/ICASSP.1984.1172729
Uniqueness of the Gaussian Kernel for Scale-Space Filtering, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.8, issue.1, pp.26-33, 1986. ,
DOI : 10.1109/TPAMI.1986.4767749
Mathematical concepts of multiscale smoothing, Applied and Computational Harmonic Analysis, vol.19, issue.2, pp.141-161, 2005. ,
DOI : 10.1016/j.acha.2005.02.007
Discrete derivative approximations with scale-space properties: A basis for low-level feature extraction, Journal of Mathematical Imaging and Vision, vol.9, issue.4, pp.349-379, 1993. ,
DOI : 10.1007/BF01664794
The topological structure of scale-space images, 1998. ,
The Laplacian Pyramid as a Compact Image Code, IEEE Transactions on Communications, vol.31, issue.4, pp.532-540, 1983. ,
DOI : 10.1109/TCOM.1983.1095851
The Design of Multistage Separable Planar Filters, IEEE Transactions on Geoscience Electronics, vol.9, issue.1, pp.106-133, 1971. ,
DOI : 10.1109/TGE.1971.271457
Recursively implementing the Gaussian and its derivative, 1993. ,
Efficient deformable filter banks, IEEE Transactions on Signal Processing, vol.46, issue.4, pp.1168-1173, 1998. ,
DOI : 10.1109/78.668570
Pyramid method in image processing, RCA Eng, vol.29, issue.6, pp.33-41, 1984. ,
Pyramid-based computer graphics, RCA Eng, vol.30, issue.5, pp.4-15, 1985. ,
Framing pyramids, IEEE Transactions on Signal Processing, vol.51, issue.9, pp.2329-2342, 2003. ,
DOI : 10.1109/TSP.2003.815389
Scale-space has been discovered in Japan, 1997. ,
Generalized Gaussian Scale-Space Axiomatics Comprising Linear Scale-Space, Affine Scale-Space and Spatio-Temporal Scale-Space, Journal of Mathematical Imaging and Vision, vol.35, issue.3, 4, pp.36-81, 2011. ,
DOI : 10.1007/s10851-010-0242-2
Decompositions of functions into wavelets of constant shape, and related transforms Mathematics and Physics, Lectures on recent results, 1984. ,
Image analysis with two-dimensional continuous wavelet transform. Signal Process, pp.241-272, 1993. ,
Ten Lectures on Wavelets, CBMS-NSF, SIAM Lecture Series, 1992. ,
A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.7, pp.674-693, 1989. ,
DOI : 10.1109/34.192463
Wavelets and Subband Coding, 1995. ,
Non linear approximation and the space BV (R 2 ), Am. J. Math, vol.121, pp.587-628, 1999. ,
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
Fast algorithms for discrete and continuous wavelet transforms, IEEE Transactions on Information Theory, vol.38, issue.2, pp.569-586, 1992. ,
DOI : 10.1109/18.119724
Recursive time-varying filter banks for subband image coding, IEEE Transactions on Image Processing, vol.4, issue.7, pp.885-895, 1995. ,
DOI : 10.1109/83.392331
inequality approach, The Annals of Statistics, vol.27, issue.3, pp.898-924, 1999. ,
DOI : 10.1214/aos/1018031262
Bayesian Inference in Wavelet Based Models, volume 141 of Lecture Notes in Computer Science, 1999. ,
Image denoising using scale mixtures of gaussians in the wavelet domain, IEEE Transactions on Image Processing, vol.12, issue.11, pp.1338-1351, 2003. ,
DOI : 10.1109/TIP.2003.818640
A Nonlinear Stein-Based Estimator for Multichannel Image Denoising, IEEE Transactions on Signal Processing, vol.56, issue.8, pp.3855-3870, 2008. ,
DOI : 10.1109/TSP.2008.921757
URL : https://hal.archives-ouvertes.fr/hal-00617318
Translation-Invariant De-Noising, Wavelets and Statistics, pp.125-150, 1995. ,
DOI : 10.1007/978-1-4612-2544-7_9
The discrete wavelet transform: wedding the a trous and Mallat algorithms, IEEE Transactions on Signal Processing, vol.40, issue.10, pp.2464-2482, 1992. ,
DOI : 10.1109/78.157290
Interpreting translation-invariant wavelet shrinkage as a new image smoothing scale space, IEEE Transactions on Image Processing, vol.10, issue.7, pp.993-1000, 2001. ,
DOI : 10.1109/83.931093
Multirate systems and filter banks, 1993. ,
The fractional spline wavelet transform: definition end implementation, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), pp.512-515, 2000. ,
DOI : 10.1109/ICASSP.2000.862030
Orthogonal complex filter banks and wavelets: some properties and design, IEEE Transactions on Signal Processing, vol.47, issue.4, pp.1039-1048, 1999. ,
DOI : 10.1109/78.752601
Theory of regular M-band wavelet bases, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.413497-3511, 1993. ,
DOI : 10.1109/78.258088
Wavelet bases for L 2 (R) with rational dilation factor, Wavelets and their applications, pp.439-452, 1992. ,
Iterated filter banks with rational rate changes connection with discrete wavelet transforms, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3232-3244, 1993. ,
DOI : 10.1109/78.258070
A new design algorithm for two-band orthonormal rational filter banks and orthonormal rational wavelets, IEEE Transactions on Signal Processing, vol.46, issue.6, pp.1494-1504, 1998. ,
DOI : 10.1109/78.678463
Rational multiresolution analysis and fast wavelet transform: application to wavelet shrinkage denoising. Signal Process [78] ? I. Bayram and I. W. Selesnick. Frequency-domain design of overcomplete rational-dilation wavelet transforms, IEEE Trans. Signal Process, vol.84, issue.578, pp.1735-17472957, 2004. ,
A DCT-based embedded image coder, IEEE Signal Processing Letters, vol.3, issue.11, pp.289-290, 1996. ,
DOI : 10.1109/97.542157
Fast progressive image coding without wavelets, Proceedings DCC 2000. Data Compression Conference, pp.243-252, 2000. ,
DOI : 10.1109/DCC.2000.838164
Low-complexity transform and quantization in H.264/AVC, IEEE Transactions on Circuits and Systems for Video Technology, vol.13, issue.7, pp.598-603, 2003. ,
DOI : 10.1109/TCSVT.2003.814964
Tensor-product wavelet vs. Mallat decomposition: a comparative analysis, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), pp.431-434, 1999. ,
DOI : 10.1109/ISCAS.1999.778877
Anisotropic 2D wavelet packets and rectangular tiling: theory and algorithms, Wavelets: Applications in Signal and Image Processing X, pp.619-630, 2003. ,
DOI : 10.1117/12.506601
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.7474
The Stationary Wavelet Transform and some Statistical Applications, Wavelets and Statistics, pp.281-300, 1995. ,
DOI : 10.1007/978-1-4612-2544-7_17
Time-invariant orthonormal wavelet representations, IEEE Transactions on Signal Processing, vol.44, issue.8, pp.1964-1970, 1996. ,
DOI : 10.1109/78.533717
Orthonormal shift-invariant adaptive local trigonometric decomposition, Signal Processing, vol.57, issue.1, pp.43-64, 1997. ,
DOI : 10.1016/S0165-1684(96)00185-5
Compactly supported tight and sibling frames with maximum vanishing moments, Applied and Computational Harmonic Analysis, vol.13, issue.3, pp.224-262, 2002. ,
DOI : 10.1016/S1063-5203(02)00510-9
Framelets: MRA-based constructions of wavelet frames, Applied and Computational Harmonic Analysis, vol.14, issue.1, pp.1-46, 2003. ,
DOI : 10.1016/S1063-5203(02)00511-0
A lapped directional transform for spectral image analysis and its application to restoration and enhancement, Signal Processing, vol.80, issue.11, pp.2347-2364, 2000. ,
DOI : 10.1016/S0165-1684(00)00122-5
The Generalized Lapped Pseudo-Biorthogonal Transform: Oversampled Linear-Phase Perfect Reconstruction Filterbanks With Lattice Structures, IEEE Transactions on Signal Processing, vol.52, issue.2, pp.434-446, 2004. ,
DOI : 10.1109/TSP.2003.821102
Multidimensional oversampled filter banks, Wavelets XI, pp.591424-591425, 2005. ,
DOI : 10.1117/12.618209
A Direct Design of Oversampled Perfect Reconstruction FIR Filter Banks, IEEE Transactions on Signal Processing, vol.54, issue.8, pp.3011-3022, 2006. ,
DOI : 10.1109/TSP.2006.875384
Optimization of Synthesis Oversampled Complex Filter Banks, IEEE Transactions on Signal Processing, vol.57, issue.10, pp.3827-3843, 2009. ,
DOI : 10.1109/TSP.2009.2023947
URL : https://hal.archives-ouvertes.fr/hal-00405293
Shiftable multiscale transforms, IEEE Transactions on Information Theory, vol.38, issue.2, pp.587-607, 1992. ,
DOI : 10.1109/18.119725
The steerable pyramid: a flexible architecture for multi-scale derivative computation, Proceedings., International Conference on Image Processing, pp.444-447, 1995. ,
DOI : 10.1109/ICIP.1995.537667
The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression, IEEE Transactions on Image Processing, vol.17, issue.11, pp.2040-2052, 2008. ,
DOI : 10.1109/TIP.2008.2004607
Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid, IEEE Transactions on Image Processing, vol.17, issue.11, pp.2063-2080, 2008. ,
DOI : 10.1109/TIP.2008.2004797
Shift-invariant spaces from rotation-covariant functions, Applied and Computational Harmonic Analysis, vol.25, issue.2, pp.240-265, 2008. ,
DOI : 10.1016/j.acha.2007.11.002
Vision: A Computational Investigation into the Human Representation and Processing of Visual Information, 1982. ,
DOI : 10.7551/mitpress/9780262514620.001.0001
Steerable pyramids and tight wavelet frames in L 2 (R d ), IEEE Trans. Image Process, 2011. ,
Theory of communication, Journal of the Institution of Electrical Engineers - Part I: General, vol.94, issue.73, pp.429-457, 1946. ,
DOI : 10.1049/ji-1.1947.0015
Hilbert Transforms, volume 125 of Encyclopedia Of Mathematics And Its Applications, 2009. ,
Multidimensional complex signals with single-orthant spectra, Proc. IEEE, pp.1287-1300, 1992. ,
DOI : 10.1109/5.158601
On the Shiftability of Dual-Tree Complex Wavelet Transforms, IEEE Transactions on Signal Processing, vol.58, issue.1, pp.221-232, 2010. ,
DOI : 10.1109/TSP.2009.2028962
Directional Wavelets Revisited: Cauchy Wavelets and Symmetry Detection in Patterns, Applied and Computational Harmonic Analysis, vol.6, issue.3, pp.314-345, 1999. ,
DOI : 10.1006/acha.1998.0255
Multiresolution transient detection, Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, pp.225-228, 1994. ,
DOI : 10.1109/TFSA.1994.467252
Transformation de Hilbert et bancs de filtres In Colloque temps-fréquence, ondelettes et multirésolution : théorie, modèles et applications, pp.1-4, 1994. ,
The Hilbert transform of wavelets are wavelets, Applied Mathematics Group, 1995. ,
Implementation of Operators via Filter Banks, Applied and Computational Harmonic Analysis, vol.3, issue.2, pp.164-185, 1996. ,
DOI : 10.1006/acha.1996.0014
URL : https://hal.archives-ouvertes.fr/hal-01223132
The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters, Proc. IEEE Digital Signal Process. Workshop, 1998. ,
Image processing with complex wavelets, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.357, issue.1760, pp.2543-2560, 1999. ,
DOI : 10.1098/rsta.1999.0447
Hilbert transform pairs of wavelet bases. Signal Process, Lett, vol.8, issue.6, pp.170-173, 2001. ,
The dual-tree complex wavelet transform, IEEE Signal Processing Magazine, vol.22, issue.6, pp.123-151, 2005. ,
DOI : 10.1109/MSP.2005.1550194
Image analysis using a dual-tree M-band wavelet transform, IEEE Transactions on Image Processing, vol.15, issue.8, pp.2397-2412, 2006. ,
DOI : 10.1109/TIP.2006.875178
URL : https://hal.archives-ouvertes.fr/hal-00621948
Image deconvolution using hidden Markov tree modeling of complex wavelet packets [116] ? I. Bayram and I. W. Selesnick. On the dual-tree complex wavelet packet and M -band transforms, Proc. Int. Conf. Image Process, pp.201-2042298, 2001. ,
The phaselet transform-an integral redundancy nearly shift-invariant wavelet transform, IEEE Transactions on Signal Processing, vol.51, issue.7, pp.1792-1805, 2003. ,
DOI : 10.1109/TSP.2003.812833
Phaselets of framelets, IEEE Transactions on Signal Processing, vol.53, issue.5, pp.1794-1806, 2005. ,
DOI : 10.1109/TSP.2005.845471
The characterization and design of Hilbert transform pairs of wavelet bases, Proc. Conf. Inform. Sciences Syst, 2001. ,
Gabor wavelet analysis and the fractional Hilbert transform, Wavelets XIII, pp.74460-74461, 2009. ,
DOI : 10.1117/12.824863.1
Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms, IEEE Transactions on Signal Processing, vol.57, issue.9, pp.3411-3425, 2009. ,
DOI : 10.1109/TSP.2009.2020767
Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case, IEEE Transactions on Signal Processing, vol.49, issue.11, pp.2844-2852, 2001. ,
DOI : 10.1109/78.960432
Directional hypercomplex wavelets for multidimensional signal analysis and processing, Proc. Int. Conf. Acoust. Speech Signal Process, pp.996-999, 2004. ,
Steerable Filters Generated with the Hypercomplex Dual-Tree Wavelet Transform, 2007 IEEE International Conference on Signal Processing and Communications, pp.1291-1294, 2007. ,
DOI : 10.1109/ICSPC.2007.4728563
Multiresolution Monogenic Signal Analysis Using the Riesz–Laplace Wavelet Transform, IEEE Transactions on Image Processing, vol.18, issue.11, pp.2402-2418, 2009. ,
DOI : 10.1109/TIP.2009.2027628
Higher-order Riesz transforms and steerable wavelet frames, Proc. Int. Conf. Image Process, pp.3757-3760, 2009. ,
Low-level image processing with the structure multivector, 2002. ,
The Monogenic Wavelet Transform, IEEE Transactions on Signal Processing, vol.57, issue.9, pp.3426-3441, 2009. ,
DOI : 10.1109/TSP.2009.2023397
Steerable Wavelet Frames Based on the Riesz Transform, IEEE Transactions on Image Processing, vol.19, issue.3, pp.653-667, 2010. ,
DOI : 10.1109/TIP.2009.2036713
Non-redundant, directionally selective, complex wavelets, Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101), pp.379-382, 2000. ,
DOI : 10.1109/ICIP.2000.899399
A directional, shift insensitive, low-redundancy, wavelet transform, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), pp.618-621, 2001. ,
DOI : 10.1109/ICIP.2001.959121
A new framework for complex wavelet transforms, IEEE Transactions on Signal Processing, vol.51, issue.7, pp.1825-1837, 2003. ,
DOI : 10.1109/TSP.2003.812841
Non-redundant, linear-phase, semiorthogonal , directional complex wavelets, Proc. Int. Conf. Acoust. Speech Signal Process, 2004. ,
Multidimensional, mapping-based complex wavelet transforms, IEEE Transactions on Image Processing, vol.14, issue.1, pp.110-124, 2005. ,
DOI : 10.1109/TIP.2004.838701
Sharpening enhancement of digitized mammograms with complex symmetric Daubechies wavelets, Proceedings of 17th International Conference of the Engineering in Medicine and Biology Society, 1995. ,
DOI : 10.1109/IEMBS.1995.575241
Complex, linear-phase filters for efficient image coding, IEEE Transactions on Signal Processing, vol.43, issue.10, pp.2425-2427, 1995. ,
DOI : 10.1109/78.469843
Complex Daubechies wavelets: properties and statistical image modelling, Signal Processing, vol.84, issue.1, pp.1-23, 2004. ,
DOI : 10.1016/j.sigpro.2003.06.001
Translation insensitive image similarity in complex wavelet domain, Proc. Int. Conf. Acoust. Speech Signal Process, pp.573-576, 2005. ,
Complex Wavelet Structural Similarity: A New Image Similarity Index, IEEE Transactions on Image Processing, vol.18, issue.11, pp.2402-2418, 2009. ,
DOI : 10.1109/TIP.2009.2025923
Image Denoising Using a Tight Frame, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., pp.1254-1263, 2006. ,
DOI : 10.1109/ICASSP.2005.1415486
A filter bank for the directional decomposition of images: theory and design, IEEE Transactions on Signal Processing, vol.40, issue.4, pp.882-893, 1992. ,
DOI : 10.1109/78.127960
A procedure for designing exact reconstruction filter banks for tree structured subband coders, Proc. Int. Conf. Acoust. Speech Signal Process, pp.421-424, 1984. ,
A Family of Two-Dimensional Nonseparable Malvar Wavelets, Applied and Computational Harmonic Analysis, vol.2, issue.3, pp.243-256, 1995. ,
DOI : 10.1006/acha.1995.1017
Multidimensional windows over arbitrary lattices and their application to FIR filter design, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, pp.2383-2386, 1996. ,
DOI : 10.1109/ICASSP.1996.547762
Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R/sup n/, IEEE Transactions on Information Theory, vol.38, issue.2, pp.533-555, 1992. ,
DOI : 10.1109/18.119722
Nonseparable two- and three-dimensional wavelets, IEEE Transactions on Signal Processing, vol.43, issue.5, pp.1269-1273, 1995. ,
DOI : 10.1109/78.382414
Two-dimensional wavelets and their relatives, 2004. ,
DOI : 10.1017/CBO9780511543395
Analyse multirésolution pour les images avec un facteur de résolution ? 2 ,
Design of regular nonseparable bidimensional wavelets using Grobner basis techniques, IEEE Transactions on Signal Processing, vol.46, issue.4, pp.845-856, 1998. ,
DOI : 10.1109/78.668541
Some Methods for Constructing Nonseparable, Orthonormal, Compactly Supported Wavelet Bases, Applied and Computational Harmonic Analysis, vol.10, issue.1, pp.99-111, 2001. ,
DOI : 10.1006/acha.2000.0325
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
A Class of Multiresolution Directional Filter Banks, IEEE Transactions on Signal Processing, vol.55, issue.3, pp.949-961, 2007. ,
DOI : 10.1109/TSP.2006.887140
The contourlet transform: an efficient directional multiresolution image representation, IEEE Transactions on Image Processing, vol.14, issue.12, pp.2091-2106, 2005. ,
DOI : 10.1109/TIP.2005.859376
The Nonsubsampled Contourlet Transform: Theory, Design, and Applications, IEEE Transactions on Image Processing, vol.15, issue.10, pp.3089-3101, 2006. ,
DOI : 10.1109/TIP.2006.877507
Multidimensional Directional Filter Banks and Surfacelets, IEEE Transactions on Image Processing, vol.16, issue.4, pp.918-931, 2007. ,
DOI : 10.1109/TIP.2007.891785
Fast and accurate Polar Fourier transform, Applied and Computational Harmonic Analysis, vol.21, issue.2, pp.145-167, 2006. ,
DOI : 10.1016/j.acha.2005.11.003
Implications of invariance and uncertainty for local structure analysis filter sets. Signal Process, Image Comm, vol.20, pp.569-581, 2005. ,
Orientation adaptive subband coding of images, IEEE Transactions on Image Processing, vol.3, issue.4, pp.421-437, 1994. ,
DOI : 10.1109/83.298396
Algorithm for computer control of a digital plotter, IBM Systems Journal, vol.4, issue.1, pp.25-30, 1965. ,
DOI : 10.1147/sj.41.0025
Digital straightness. Electron. Notes Theor, Comput. Sci, vol.46, pp.1-32, 2001. ,
Discrete Frontiers, Discrete geometry for computer imagery, pp.236-245, 2003. ,
DOI : 10.1007/978-3-540-39966-7_22
URL : https://hal.archives-ouvertes.fr/hal-00622040
Ridgelet transform based onReveilì es discrete lines, Proc. IAPR Int. Conf. Discrete Geom. Comput. Imagery (DGCI), volume 2301 of Lecture Notes in Computer Science, pp.417-427, 2002. ,
Directionlets: anisotropic multidirectional representation with separable filtering, IEEE Transactions on Image Processing, vol.15, issue.7, pp.1916-1933, 2006. ,
DOI : 10.1109/TIP.2006.877076
Oriented Wavelet Transform for Image Compression and Denoising, IEEE Transactions on Image Processing, vol.15, issue.10, pp.2892-2903, 2006. ,
DOI : 10.1109/TIP.2006.877526
URL : https://hal.archives-ouvertes.fr/inria-00504227
Direction-Adaptive Discrete Wavelet Transform for Image Compression, IEEE Transactions on Image Processing, vol.16, issue.5, pp.1289-1302, 2007. ,
DOI : 10.1109/TIP.2007.894242
Multiresolution Image Representation Using Combined 2-D and 1-D Directional Filter Banks, IEEE Transactions on Image Processing, vol.18, issue.2, pp.269-280, 2009. ,
DOI : 10.1109/TIP.2008.2008078
Adaptive Directional Wavelet Transform Based on Directional Prefiltering, IEEE Transactions on Image Processing, vol.19, issue.4, pp.934-945, 2010. ,
DOI : 10.1109/TIP.2009.2038820
An edge detection approach based on directional wavelet transform, Computers & Mathematics with Applications, vol.57, issue.8, pp.1265-1271, 2009. ,
DOI : 10.1016/j.camwa.2008.11.013
Directional Haar wavelet frames on triangles, Applied and Computational Harmonic Analysis, vol.27, issue.2, pp.215-234, 2009. ,
DOI : 10.1016/j.acha.2009.03.002
URL : http://doi.org/10.1016/j.acha.2009.03.002
Multiscale Discrete Geometry, Proc. IAPR Int. Conf. Discrete Geom. Comput. Imagery (DGCI), Lecture Notes in Computer Science, pp.118-131, 2009. ,
DOI : 10.1007/11919629_22
URL : https://hal.archives-ouvertes.fr/hal-00413681
Steerable filters for early vision, image analysis, and wavelet decomposition, [1990] Proceedings Third International Conference on Computer Vision, pp.406-415, 1990. ,
DOI : 10.1109/ICCV.1990.139562
The design and use of steerable filters, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.9, pp.891-906, 1991. ,
DOI : 10.1109/34.93808
Steerable Filters and Local Analysis of Image Structure, 1992. ,
Steerable wedge filters for local orientation analysis, IEEE Transactions on Image Processing, vol.5, issue.9, pp.1377-1382, 1996. ,
DOI : 10.1109/83.535851
A steerable complex wavelet construction and its application to image denoising, IEEE Transactions on Image Processing, vol.14, issue.7, pp.948-959, 2005. ,
DOI : 10.1109/TIP.2005.849295
Rotational invariant operators based on steerable filter banks. Signal Process, Lett, vol.13, issue.11, 2006. ,
Image representation using 2D Gabor wavelets, IEEE Trans. Patt. Anal. Mach. Int, vol.18, issue.10, pp.959-971, 1996. ,
Efficient spatial-domain implementation of a multiscale image representation based on Gabor functions, Journal of Electronic Imaging, vol.7, issue.1, pp.166-173, 1998. ,
DOI : 10.1117/1.482638
Directional dyadic wavelet transforms: design and algorithms, IEEE Transactions on Image Processing, vol.11, issue.4, pp.363-372, 2002. ,
DOI : 10.1109/TIP.2002.999670
MULTISELECTIVE PYRAMIDAL DECOMPOSITION OF IMAGES: WAVELETS WITH ADAPTIVE ANGULAR SELECTIVITY, International Journal of Wavelets, Multiresolution and Information Processing, vol.05, issue.05, pp.785-814, 2007. ,
DOI : 10.1142/S0219691307002051
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
Tight frames of k-plane ridgelets and the problem of representing objects that are smooth away from d-dimensional singularities in Rn, Proc. Nat. Acad. Sci. U.S.A, pp.1828-1833, 1999. ,
DOI : 10.1073/pnas.96.5.1828
Directional and Time-Scale Wavelet Analysis, SIAM Journal on Mathematical Analysis, vol.31, issue.2, pp.416-430, 2000. ,
DOI : 10.1137/S0036141098333359
The Radon transform and some of its applications, 1983. ,
The finite ridgelet transform for image representation, IEEE Transactions on Image Processing, vol.12, issue.1, pp.16-28, 2003. ,
DOI : 10.1109/TIP.2002.806252
The curvelet transform for image denoising, IEEE Transactions on Image Processing, vol.11, issue.6, pp.670-685, 2002. ,
DOI : 10.1109/TIP.2002.1014998
3-D Discrete Analytical Ridgelet Transform, IEEE Transactions on Image Processing, vol.15, issue.12, pp.3701-3714, 2006. ,
DOI : 10.1109/TIP.2006.881936
URL : https://hal.archives-ouvertes.fr/hal-00331384
Digital Ridgelet Transform Based on True Ridge Functions, Studies in Computational Mathematics, vol.10, pp.1-30, 2003. ,
DOI : 10.1016/S1570-579X(03)80029-0
singularities, Communications on Pure and Applied Mathematics, vol.9, issue.7, pp.219-266, 2003. ,
DOI : 10.1002/cpa.10116
The cortex transform: Rapid computation of simulated neural images, Computer Vision, Graphics, and Image Processing, vol.39, issue.3, pp.311-327, 1987. ,
DOI : 10.1016/S0734-189X(87)80184-6
Continuous curvelet transform, Applied and Computational Harmonic Analysis, vol.19, issue.2, pp.162-197, 2003. ,
DOI : 10.1016/j.acha.2005.02.003
Continuous curvelet transform, Applied and Computational Harmonic Analysis, vol.19, issue.2, pp.198-222, 2003. ,
DOI : 10.1016/j.acha.2005.02.004
Fast Discrete Curvelet Transforms, Multiscale Modeling & Simulation, vol.5, issue.3, pp.861-899, 2006. ,
DOI : 10.1137/05064182X
singularities, Communications on Pure and Applied Mathematics, vol.9, issue.7, pp.219-266, 2004. ,
DOI : 10.1002/cpa.10116
Directional Multiscale Amplitude and Phase Decomposition by the Monogenic Curvelet Transform, SIAM Journal on Imaging Sciences, vol.4, issue.1, pp.57-78, 2011. ,
DOI : 10.1137/100803924
Optimally Sparse Multidimensional Representation Using Shearlets, SIAM Journal on Mathematical Analysis, vol.39, issue.1, pp.298-318, 2007. ,
DOI : 10.1137/060649781
Irregular Shearlet Frames: Geometry and??Approximation Properties, Journal of Fourier Analysis and Applications, vol.132, issue.4, pp.1-36, 2010. ,
DOI : 10.1007/s00041-010-9163-0
URL : http://arxiv.org/abs/1002.2657
The construction of regular and irregular shearlet frames, J. Wavelet Theory Appl, vol.1, pp.1-10, 2007. ,
The discrete shearlet transform: A new directional transform and compactly supported shearlet frames, IEEE Trans. Image Process, vol.19, issue.5, pp.1166-1180, 2010. ,
Ripplet: A new transform for image processing, Journal of Visual Communication and Image Representation, vol.21, issue.7, pp.627-639, 2010. ,
DOI : 10.1016/j.jvcir.2010.04.002
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.7043
CRISP contourlets: a critically sampled directional multiresolution image representation, Wavelets: Applications in Signal and Image Processing X, pp.655-665, 2003. ,
DOI : 10.1117/12.506566
Brushlets: A Tool for Directional Image Analysis and Image Compression, Applied and Computational Harmonic Analysis, vol.4, issue.2, pp.147-187, 1997. ,
DOI : 10.1006/acha.1997.0208
Wave atoms and sparsity of oscillatory patterns, Applied and Computational Harmonic Analysis, vol.23, issue.3, pp.368-387, 2007. ,
DOI : 10.1016/j.acha.2007.03.003
Sparse Approximate Solutions to Linear Systems, SIAM Journal on Computing, vol.24, issue.2, pp.227-234, 1995. ,
DOI : 10.1137/S0097539792240406
Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993. ,
DOI : 10.1109/78.258082
Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers, 1993. ,
DOI : 10.1109/ACSSC.1993.342465
Greed is Good: Algorithmic Results for Sparse Approximation, IEEE Transactions on Information Theory, vol.50, issue.10, pp.2231-2242, 2004. ,
DOI : 10.1109/TIT.2004.834793
Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Transactions on Information Theory, vol.52, issue.1, pp.6-18, 2006. ,
DOI : 10.1109/TIT.2005.860430
Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1998. ,
DOI : 10.1137/S1064827596304010
Iteratively reweighted least squares minimization for sparse recovery, Communications on Pure and Applied Mathematics, vol.58, issue.1, pp.1-38, 2010. ,
DOI : 10.1002/cpa.20303
Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005. ,
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649
Proximal splitting methods in signal processing Fixed-point algorithms for inverse problems in science and engineering, 2010. ,
Just relax: convex programming methods for identifying sparse signals in noise, IEEE Transactions on Information Theory, vol.52, issue.3, pp.1030-1051, 2006. ,
DOI : 10.1109/TIT.2005.864420
Image coding using redundant dictionaries, Document and image compression, 2006. ,
Analysis of multimodal sequences using geometric video representations, Signal Processing, vol.86, issue.12, pp.3534-3548, 2006. ,
DOI : 10.1016/j.sigpro.2006.02.044
3D face recognition with sparse spherical representations, Pattern Recognition, vol.43, issue.3, pp.824-834, 2010. ,
DOI : 10.1016/j.patcog.2009.07.005
A Geometrical Study of Matching Pursuit Parametrization, IEEE Transactions on Signal Processing, vol.56, issue.7, pp.2835-2848, 2008. ,
DOI : 10.1109/TSP.2008.917379
Matching pursuit: Adaptive representations of images and sounds, Comput. Appl. Math, vol.15, issue.2, pp.97-109, 1996. ,
Low-rate and flexible image coding with redundant representations, IEEE Transactions on Image Processing, vol.15, issue.3, pp.726-739, 2006. ,
DOI : 10.1109/TIP.2005.860596
Very low bit-rate video coding based on matching pursuits, IEEE Transactions on Circuits and Systems for Video Technology, vol.7, issue.1, pp.158-171, 1997. ,
DOI : 10.1109/76.554427
Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.259-268, 1992. ,
DOI : 10.1016/0167-2789(92)90242-F
Redundant Multiscale Transforms and Their Application for Morphological Component Separation, Adv. Imag. Electron Phys, vol.132, pp.287-348, 2004. ,
DOI : 10.1016/S1076-5670(04)32006-9
Entropy-based algorithms for best basis selection, IEEE Transactions on Information Theory, vol.38, issue.2, pp.713-718, 1992. ,
DOI : 10.1109/18.119732
Classification and Regression Trees, 1984. ,
CART and best-ortho-basis: a connection, The Annals of Statistics, vol.25, issue.5, pp.1870-1911, 1997. ,
DOI : 10.1214/aos/1069362377
INRIA lectures on wavelet packet algorithms. Lecture notes, INRIA, 1991. ,
Nonstationary Subdivision Schemes, Multiresolution Analysis, and Wavelet Packets, Signal and image representation in combined spaces of Wavelet analysis and its applications, pp.189-200, 1998. ,
DOI : 10.1016/S1874-608X(98)80008-3
Best basis search in a non-stationary wavelet packets dictionary, Proc. Int. Conf. Image Process, 2009. ,
Wedgelets: nearly minimax estimation of edges, The Annals of Statistics, vol.27, issue.3, pp.859-897, 1999. ,
DOI : 10.1214/aos/1018031261
Rate-distortion optimized tree-structured compression algorithms for piecewise polynomial images, IEEE Transactions on Image Processing, vol.14, issue.3, pp.343-359, 2005. ,
DOI : 10.1109/TIP.2004.840710
URL : http://infoscience.epfl.ch/record/33817
Hierarchical Segmentation-Based Image Coding Using Hybrid Quad-Binary Trees, IEEE Transactions on Image Processing, vol.18, issue.6, pp.1284-291, 2009. ,
DOI : 10.1109/TIP.2009.2017339
Efficient Moment Computation over Polygonal Domains with an Application to Rapid Wedgelet Approximation, SIAM Journal on Scientific Computing, vol.29, issue.2, pp.842-863, 2007. ,
DOI : 10.1137/050646597
Platelets: a multiscale approach for recovering edges and surfaces in photon-limited medical imaging, IEEE Transactions on Medical Imaging, vol.22, issue.3, pp.332-350, 2003. ,
DOI : 10.1109/TMI.2003.809622
Representation and Compression of Multidimensional Piecewise Functions Using <emphasis emphasistype="italic">Surflets</emphasis>, IEEE Transactions on Information Theory, vol.55, issue.1, pp.374-400, 2009. ,
DOI : 10.1109/TIT.2008.2008153
Bandelet Image Approximation and Compression, Multiscale Modeling & Simulation, vol.4, issue.3, pp.992-1039, 2005. ,
DOI : 10.1137/040619454
Wavelet-domain approximation and compression of piecewise smooth images, IEEE Transactions on Image Processing, vol.15, issue.5, pp.1071-1087, 2006. ,
DOI : 10.1109/TIP.2005.864175
Orthogonal bandelet bases for geometric images approximation, Communications on Pure and Applied Mathematics, vol.15, issue.5, pp.1173-1212, 2008. ,
DOI : 10.1002/cpa.20242
The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Two-Dimensional Data, Multiscale Modeling & Simulation, vol.7, issue.3, pp.1474-1496, 2009. ,
DOI : 10.1137/080719248
Compressive sampling, Proc. Int. Congr. Mathematicians, pp.1433-1452, 2006. ,
DOI : 10.4171/022-3/69
Best Basis Compressed Sensing, IEEE Transactions on Signal Processing, vol.58, issue.5, pp.2613-2622, 2010. ,
DOI : 10.1109/TSP.2010.2042490
Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets, SIAM Journal on Numerical Analysis, vol.43, issue.2, pp.707-732, 2005. ,
DOI : 10.1137/040604649
Image compression by linear splines over adaptive triangulations, Signal Processing, vol.86, issue.7, pp.1604-1616, 2006. ,
DOI : 10.1016/j.sigpro.2005.09.003
Image compression by B-tree triangular coding, IEEE Transactions on Communications, vol.45, issue.9, pp.1095-1100, 1997. ,
DOI : 10.1109/26.623074
Adaptive multiresolution analysis based on anisotropic triangulations, Mathematics of Computation, vol.81, issue.278, 2011. ,
DOI : 10.1090/S0025-5718-2011-02495-6
URL : https://hal.archives-ouvertes.fr/hal-00387804
Multiscale approximation of piecewise smooth two-dimensional functions using normal triangulated meshes, Applied and Computational Harmonic Analysis, vol.19, issue.1, pp.92-130, 2005. ,
DOI : 10.1016/j.acha.2005.02.006
The Lifting Scheme: A Construction of Second Generation Wavelets, SIAM Journal on Mathematical Analysis, vol.29, issue.2, pp.511-546, 1997. ,
DOI : 10.1137/S0036141095289051
A 4-point interpolatory subdivision scheme for curve design, Computer Aided Geometric Design, vol.4, issue.4, pp.257-268, 1987. ,
DOI : 10.1016/0167-8396(87)90001-X
New networks for perfect inversion and perfect reconstruction, IEEE Journal on Selected Areas in Communications, vol.10, issue.1, pp.129-137, 1992. ,
DOI : 10.1109/49.124464
M-band nonlinear subband decompositions with perfect reconstruction, IEEE Transactions on Image Processing, vol.7, issue.11, pp.1547-1560, 1998. ,
DOI : 10.1109/83.725362
Factoring wavelet transforms into lifting steps, J. Fourier Anal. Appl, vol.4, issue.3, pp.245-267, 1998. ,
Adaptive, non-separable lifting transforms for image compression, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), pp.772-776, 1999. ,
DOI : 10.1109/ICIP.1999.817221
High compression image coding using an adaptive morphological subband decomposition, Proc. IEEE, pp.272-287, 1995. ,
DOI : 10.1109/5.364462
Nonlinear multiresolution signal decomposition schemes. I. Morphological pyramids, IEEE Transactions on Image Processing, vol.9, issue.11, pp.1862-1876, 2000. ,
DOI : 10.1109/83.877209
Nonlinear multiresolution signal decomposition schemes. II. Morphological wavelets, IEEE Transactions on Image Processing, vol.9, issue.11, pp.1897-1913, 2000. ,
DOI : 10.1109/83.877211
Nonlinear wavelet transforms for image coding via lifting, IEEE Transactions on Image Processing, vol.12, issue.12, pp.1449-1459, 2003. ,
DOI : 10.1109/TIP.2003.817237
Design of Signal-Adapted Multidimensional Lifting Scheme for Lossy Coding, IEEE Transactions on Image Processing, vol.13, issue.12, pp.1589-1603, 2004. ,
DOI : 10.1109/TIP.2004.837556
Vector Lifting Schemes for Stereo Image Coding, IEEE Transactions on Image Processing, vol.18, issue.11, pp.2463-2475, 2009. ,
DOI : 10.1109/TIP.2009.2026672
Adaptive Nonseparable Wavelet Transform via Lifting and its Application to Content-Based Image Retrieval, IEEE Transactions on Image Processing, vol.19, issue.1, pp.25-35, 2010. ,
DOI : 10.1109/TIP.2009.2030479
URL : https://hal.archives-ouvertes.fr/hal-00473899
Non separable lifting scheme with adaptive update step for still and stereo image coding. Signal Process, 2011. ,
Nonlinear Subdivision Schemes: Applications to Image Processing, Tutorials on Multiresolution in Geometric Modelling Europ. summer school on principles of multiresolution in geometric modelling, pp.93-97, 2002. ,
DOI : 10.1007/978-3-662-04388-2_5
Adaptive polyphase subband decomposition structures for image compression, IEEE Transactions on Image Processing, vol.9, issue.10, pp.1649-1660, 2000. ,
DOI : 10.1109/83.869176
Directional lifting-based wavelet transform for multiple description image coding. Signal Process, Image Comm, vol.23, issue.1, pp.42-57, 2008. ,
Building nonredundant adaptive wavelets by update lifting, Applied and Computational Harmonic Analysis, vol.18, issue.3, pp.252-281, 2005. ,
DOI : 10.1016/j.acha.2004.11.006
Three-dimensional lifting schemes for motion compensated video compression, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221), pp.1793-1796, 2001. ,
DOI : 10.1109/ICASSP.2001.941289
Lifting-based invertible motion adaptive transform (LIMAT) framework for highly scalable video compression, IEEE Transactions on Image Processing, vol.12, issue.12, pp.1530-1542, 2003. ,
DOI : 10.1109/TIP.2003.819433
Geometrical grouplets, Applied and Computational Harmonic Analysis, vol.26, issue.2, pp.161-180, 2009. ,
DOI : 10.1016/j.acha.2008.03.004
Texture Synthesis with Grouplets, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.4, pp.733-746, 2009. ,
DOI : 10.1109/TPAMI.2009.54
Pyramid-based texture analysis/synthesis, Proc. SIGGRAPH Int. Conf. Comput. Graph. Interactive Tech, pp.229-238, 1995. ,
A parametric texture model based on joint statistics of complex wavelet coefficients, International Journal of Computer Vision, vol.40, issue.1, pp.49-71, 2000. ,
DOI : 10.1023/A:1026553619983
Image quilting for texture synthesis and transfer, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.341-346, 2001. ,
DOI : 10.1145/383259.383296
FFTs for the 2-Sphere-Improvements and Variations, Journal of Fourier Analysis and Applications, vol.9, issue.4, pp.341-385, 2003. ,
DOI : 10.1007/s00041-003-0018-9
Computing Fourier Transforms and Convolutions on the 2-Sphere, Advances in Applied Mathematics, vol.15, issue.2, pp.202-250, 1994. ,
DOI : 10.1006/aama.1994.1008
Multiscale Image Processing on the Sphere, Proc. DAGM Symp. Patt. Recogn., Lecture Notes in Computer Science, pp.609-617, 2002. ,
DOI : 10.1007/3-540-45783-6_73
Spherical wavelet transform and its discretization, Advances in Computational Mathematics, vol.31, issue.1, pp.51-94, 1996. ,
DOI : 10.1007/BF02124735
A survey on wavelet methods for (geo)applications. Rev, Matemática Complutense, vol.16, issue.1, pp.277-310, 2003. ,
Localized Tight Frames on Spheres, SIAM Journal on Mathematical Analysis, vol.38, issue.2, pp.574-594, 2006. ,
DOI : 10.1137/040614359
Needlet algorithms for estimation in inverse problems, Electronic Journal of Statistics, vol.1, issue.0, pp.30-76, 2007. ,
DOI : 10.1214/07-EJS014
Practical wavelet design on the sphere, Applied and Computational Harmonic Analysis, vol.26, issue.2, pp.143-160, 2009. ,
DOI : 10.1016/j.acha.2008.03.003
URL : https://hal.archives-ouvertes.fr/hal-00155489
Wavelets on the 2-Sphere: A Group-Theoretical Approach, Applied and Computational Harmonic Analysis, vol.7, issue.3, pp.262-291, 1999. ,
DOI : 10.1006/acha.1999.0272
Wavelets on the sphere: implementation and approximations, Applied and Computational Harmonic Analysis, vol.13, issue.3, pp.177-200, 2002. ,
DOI : 10.1016/S1063-5203(02)00507-9
Correspondence Principle between Spherical and Euclidean Wavelets, The Astrophysical Journal, vol.632, issue.1, pp.15-28, 2005. ,
DOI : 10.1086/432926
Stereographic wavelet frames on the sphere, Applied and Computational Harmonic Analysis, vol.19, issue.2, pp.223-252, 2005. ,
DOI : 10.1016/j.acha.2005.05.001
Gabor wavelets on the sphere, Wavelets: Applications in Signal and Image Processing X, pp.208-215, 2003. ,
DOI : 10.1117/12.506436
Isotropic wavelets: a powerful tool to extract point sources from cosmic microwave background maps, Monthly Notices of the Royal Astronomical Society, vol.315, issue.4, pp.757-761, 2000. ,
DOI : 10.1046/j.1365-8711.2000.03462.x
Morphological Component Analysis and Inpainting on the Sphere: Application in Physics and Astrophysics, Journal of Fourier Analysis and Applications, vol.13, issue.6, pp.729-748, 2007. ,
DOI : 10.1007/s00041-006-6908-x
URL : https://hal.archives-ouvertes.fr/hal-00196082
Non-Gaussianity analysis on local morphological measures of WMAP data, Monthly Notices of the Royal Astronomical Society, vol.385, issue.2, pp.939-947, 2008. ,
DOI : 10.1111/j.1365-2966.2008.12901.x
On the Construction of Invertible Filter Banks on the 2-Sphere, IEEE Transactions on Image Processing, vol.17, issue.3, pp.283-300, 2008. ,
DOI : 10.1109/TIP.2007.915550
Spherical wavelets, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.161-172, 1995. ,
DOI : 10.1145/218380.218439
Orthogonal and symmetric Haar wavelets on the sphere, ACM Trans. Graph, vol.274, issue.1, pp.1-4, 2008. ,
Fast Directional Correlation on the Sphere with Steerable Filters, The Astrophysical Journal, vol.652, issue.1, pp.820-832, 2006. ,
DOI : 10.1086/507692
Wavelets on the sphere Four short courses in harmonic analysis: wavelets, frames, time-frequency methods, and applications to signal and image analysis, Birkhäuser, 2010. ,
Exact reconstruction with directional wavelets on the sphere, Monthly Notices of the Royal Astronomical Society, vol.388, issue.2, pp.770-788, 2008. ,
DOI : 10.1111/j.1365-2966.2008.13448.x
Wavelets, ridgelets and curvelets on the sphere, Astronomy and Astrophysics, vol.446, issue.3, pp.1191-1204, 2006. ,
DOI : 10.1051/0004-6361:20053246
URL : https://hal.archives-ouvertes.fr/hal-00860058
Wavelet Bases on the Sphere Obtained by Radial Projection, Journal of Fourier Analysis and Applications, vol.13, issue.4, pp.421-434, 2007. ,
DOI : 10.1007/s00041-006-6014-z
Wavelet transform on manifolds: Old and new approaches, Special Issue on Continuous Wavelet Transform in Memory of Jean Morlet, pp.189-202, 2010. ,
DOI : 10.1016/j.acha.2009.10.002
THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS, International Journal of Wavelets, Multiresolution and Information Processing, vol.06, issue.02, pp.137-156, 2008. ,
DOI : 10.1142/S0219691308002288
The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets, Applied and Computational Harmonic Analysis, vol.3, issue.2, pp.186-200, 1996. ,
DOI : 10.1006/acha.1996.0015
Multiresolution analysis for surfaces of arbitrary topological type, ACM Transactions on Graphics, vol.16, issue.1, pp.34-73, 1997. ,
DOI : 10.1145/237748.237750
Diffusion wavelets, Applied and Computational Harmonic Analysis, vol.21, issue.1, pp.53-94, 2006. ,
DOI : 10.1016/j.acha.2006.04.004
Wavelets on graphs via spectral graph theory, Applied and Computational Harmonic Analysis, vol.30, issue.2, pp.129-150, 2011. ,
DOI : 10.1016/j.acha.2010.04.005
URL : https://hal.archives-ouvertes.fr/inria-00541855