Official website or online reference | Reference | Introduced in | parameters | Dimension | Transform name | | |
http://www.thefouriertransform.com | G. Campbell and R. Foster[16] | 1948 | Frequency | 1D/2D/3D | Fourier Transform | Single Scale | Parametric methods (non-data-driven dictionary) |
http://planetmath.org/?op=getobj&from=objects&id=1469 | N. Ahmed, T. Natarajan and K. R. Rao[17] | 1974 | Duration-Translation | 1D/2D/3D | Cosine Transform (DCT) |
https://www.ceremade.dauphine.fr/~peyre/numerical-tour/tours/wavelet_4_daubechies2d/ | I. Daubechies[18] | 1988 | Scale-Translation | 1D/2D/3D | Separable Wavelet Transform | Multi-scale |
http://www.bearcave.com/misl/misl_tech/wavelets/packet/index.html | R.R. Coifman[19] | 1992 | Scale-Translation- Frequency | 1D/2D/3D | Wavelet packet Transform |
http://ssli.ee.washington.edu/people/duh/projects/wedgelets.html | D. L. Donoho[20] | 1997 | Scale-Translation- Rotation | 2D | Geometrical X-lets (wedgelet) |
http://eeweb.poly.edu/iselesni/WaveletSoftware | N. G. Kingsbury[21] | 1998 | Scale-Translation- Rotation | 2D/3D | Complex Wavelet Transform |
http://www.curvelet.org | E. Candès and D. Donoho[22] | 2000 | Scale-Translation- Rotation | 2D/3D | Geometrical X-lets (curvelet) |
http://www.cmap.polytechnique.fr/~peyre/bandelets | Le Pennec and E. Mallat[23] | 2004 | Scale-Translation- Rotation | 2D | Geometrical X-lets (bandlet) |
http://www.ifp.uiuc.edu/~minhdo/software/contourlet_toolbox.zip | MN. Do and M. Vetterli[24] | 2005 | Scale-Translation- Rotation | 2D | Geometrical X-lets (contourlet) |
http://www.math.wustl.edu/IllMoHAS/pdfs/yuelu.pdf | Y Lu and MN Do[25] | 2005 | Scale-Translation- Rotation | 3D | Geometrical X-lets (Surfacelet) |
http://www.fon.hum.uva.nl/praat/manual/Principal_component_analysis.html | I.T. Jolliffe[26] | 1986 | Eigen Vectors | 1D/2D/3D | Principal Component Analysis (PCA) | Single scale | Non-parametric methods (dictionary learning) |
http://www.cs.helsinki.fi/u/ahyvarin/whatisica.shtml | P. Comon[9] | 1994 | Eigen Vectors | 1D/2D/3D | Independent Component Analysis (ICA) |
http://eprints.maths.ox.ac.uk/740/1/bah.pdf and http://www.math.ucla.edu/~wittman/mani/ | R.R. Coifman and S. Lafon[11] | 2006 | Spectral | 1D/2D/3D | Diffusion Maps |
http://media.aau.dk/null_space_pursuits/2012/04/dictionary-learning-with-the-method-of-optimal-directions.html | K Engan and SO Aase[14] | 1999 | Duration-Translation | 1D/2D/3D | Conventional Method of Optimal Directions (MOD) |
http://www.cs.technion.ac.il/~elad/software/ | M Aharon[15] | 2006 | Duration-Translation | 1D/2D/3D | Conventional K-SVD |
http://www.math.duke.edu/~mauro/diffusionwavelets.html | R. R. Coifman and M. Maggioni[27] | 2006 | Scale-Spectral | 1D/2D/3D | Diffusion wavelet | Multi-scale |
https://sites.google.com/site/hosseinrabbanikhorasgani/research/atomic-representation | R.Kafieh and H. Rabbani and I. Selesnick | This work | Scale-Translation- Rotation | 1D/2D/3D | Complex wavelet based K-SVD |
