Sparse directional image representations using the discrete shearlet transform

[1]  Demetrio Labate,et al.  Optimally Sparse Multidimensional Representation Using Shearlets , 2007, SIAM J. Math. Anal..

[2]  Minh N. Do,et al.  Multidimensional Directional Filter Banks and Surfacelets , 2007, IEEE Transactions on Image Processing.

[3]  Edward Wilson,et al.  Some simple Haar-type wavelets in higher dimensions , 2007 .

[4]  Minh N. Do,et al.  The Nonsubsampled Contourlet Transform: Theory, Design, and Applications , 2006, IEEE Transactions on Image Processing.

[5]  Laurent Demanet,et al.  Fast Discrete Curvelet Transforms , 2006, Multiscale Model. Simul..

[6]  M. Do,et al.  Directional multiscale modeling of images using the contourlet transform , 2003, IEEE Workshop on Statistical Signal Processing, 2003.

[7]  Wang-Q Lim,et al.  Wavelets with composite dilations and their MRA properties , 2006 .

[8]  Wang-Q Lim,et al.  The Theory of Wavelets with Composite Dilations , 2006 .

[9]  D. Labate,et al.  Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators , 2006 .

[10]  Minh N. Do,et al.  Ieee Transactions on Image Processing the Contourlet Transform: an Efficient Directional Multiresolution Image Representation , 2022 .

[11]  Wang-Q Lim,et al.  Sparse multidimensional representation using shearlets , 2005, SPIE Optics + Photonics.

[12]  Glenn R. Easley,et al.  Generalized Discrete Radon Transforms and Their Use in the Ridgelet Transform , 2005, Journal of Mathematical Imaging and Vision.

[13]  Stéphane Mallat,et al.  Sparse geometric image representations with bandelets , 2005, IEEE Transactions on Image Processing.

[14]  Carlos A. Berenstein,et al.  Deconvolution in a ridgelet and curvelet domain , 2005, SPIE Defense + Commercial Sensing.

[15]  Yue Lu.  A Directional Extension for Multidimensional Wavelet Transforms , 2005 .

[16]  Wang-Q Lim,et al.  Wavelets with composite dilations , 2004 .

[17]  E. Candès,et al.  New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities , 2004 .

[18]  D. Donoho,et al.  Fast Slant Stack: a notion of Radon transform for data in a Cartesian grid which is rapidly computable, algebraically exact, geometrically faithful and invertible , 2003 .

[19]  I. Selesnick,et al.  Bivariate shrinkage with local variance estimation , 2002, IEEE Signal Processing Letters.

[20]  Emmanuel J. Candès,et al.  The curvelet transform for image denoising , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[21]  N. Kingsbury.  Complex Wavelets for Shift Invariant Analysis and Filtering of Signals , 2001 .

[22]  Ronald R. Coifman,et al.  Fast Slant Stack: a Notion of Radon Transform for Data in a Cartesian Grid Which Is Rapidly Computible, Algebraically Exact, Geometrically Faithful and Invertible , 2001 .

[23]  D. Donoho.  Sparse Components of Images and Optimal Atomic Decompositions , 2001 .

[24]  E. Candès,et al.  Ridgelets: a key to higher-dimensional intermittency? , 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[25]  Pierre Vandergheynst,et al.  Directional Wavelets Revisited: Cauchy Wavelets and Symmetry Detection in Patterns , 1999 .

[26]  Martin Vetterli,et al.  Data Compression and Harmonic Analysis , 1998, IEEE Trans. Inf. Theory.

[27]  Stéphane Mallat,et al.  Analysis of low bit rate image transform coding , 1998, IEEE Trans. Signal Process..

[28]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[29]  Ronald R. Coifman,et al.  Brushlets: A Tool for Directional Image Analysis and Image Compression , 1997 .

[30]  G. Weiss,et al.  A First Course on Wavelets , 1996 .

[31]  C. Burrus,et al.  Noise reduction using an undecimated discrete wavelet transform , 1996, IEEE Signal Processing Letters.

[32]  A. Antoniadis,et al.  Wavelets and Statistics , 1995 .

[33]  D. Donoho,et al.  Translation-Invariant De-Noising , 1995 .

[34]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[35]  D. L. Donoho,et al.  Ideal spacial adaptation via wavelet shrinkage , 1994 .

[36]  Mark J. T. Smith,et al.  A filter bank for the directional decomposition of images: theory and design , 1992, IEEE Trans. Signal Process..

[37]  L. Hörmander.  The analysis of linear partial differential operators , 1990 .

[38]  L. Hörmander,et al.  The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis , 1983 .

[39]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..