www.pudn.com > EWT.rar > README.txt, change:2015-07-21,size:4833b

This Matlab Toolbox permits to perform the 1D and 2D Empiricals transforms described in the papers:

- J.Gilles, "Empirical wavelet transform" to appear in IEEE Trans. Signal Processing, Vol.61, No.16, 3999--4010, August 2013.
Preprint available at ftp://ftp.math.ucla.edu/pub/camreport/cam13-33.pdf
- J.Gilles, G.Tran, S.Osher "2D Empirical transforms. Wavelets, Ridgelets and Curvelets Revisited", SIAM Journal on Imaging Sciences, Vol.7, No.1, 157--186, January 2014. Preprint available at ftp://ftp.math.ucla.edu/pub/camreport/cam13-35.pdf
- J.Gilles, K. Heal, "A parameterless scale-space approach to find meaningful modes in histograms - Application to image and spectrum segmentation", International Journal of Wavelets, Multiresolution and Information Processing, Vol.12, No.6, 1450044-1--1450044-17, December 2014.
Preprint available at ftp://ftp.math.ucla.edu/pub/camreport/cam14-05.pdf

This toolbox is freely distributed and can be used without any charges for research purposes but I will appreciate if you cite the previous papers ;-)
If you want to use this code for commercial purposes, please contact me before.

For any questions, comments (if you find a bug please send me all information so I can fix it and update the toolbox) must be send to jegilles@math.ucla.edu

If you develop some new functionalities and want them included in this toolbox, just provide me the corresponding files and which credit I must add in this README file.

- Current version: 3.0 (July 21th, 2015): adding the EWT-Curvelet option 3 (scales detected per angular sector) + fix of image sizes issues + wrong curvelet filters for the last scale.
- Previous version: 2.0 (April 23th, 2014): adding new functions (like scale-space detection, TF plane generation,...) + documentation, the FTC method is removed and no longer available.
- Previous version: 1.2 (June 18th, 2013): bugs fixes
- Previous version: 1.0 (June 10th, 2013): original version


If you want to run all functionalities, you need to have the following Matlab toolboxes properly installed on computer:

- Flandrin's EMD toolbox (needed in the 1D transform to perform the Hilbert transform and visualize the time-frequency plane) 
	available at http://perso.ens-lyon.fr/patrick.flandrin/emd.html
- Elad's Pseudo-Polar FFT toolbox (needed for the 2D transforms except the tensor based transform)
	available at http://www.cs.technion.ac.il/~elad/software/


1- Add the path to all folders to your Matlab configuration (menu Files -> Set Paths)

This toolbox is organized as follows:

 |-1D 						: 1D EWT functions
 |-2D						: 2D EWT functions
 |	|-Curvelet 					: Empirical curvelet transform
 |  |-Littlewood-Paley 					: Empirical Littlewood-Paley wavelet transform
 |  |-Ridgelet 						: Empirical Ridgelet transform
 |  |-Tensor 						: Empirical Tensor wavelet transform
 |-Boundaries					: functions used to perform to Fourier supports
 |  |-LocalMaxima					: Functions performing detections based on local maxima and midway or localminima
 |  |-MorphoMath					: Functions performing the Morphological operator to preprocess the spectrum
 |  |-PowerLaw						: Function preprocessing the spectrum by removing its power law approximation
 |  |-ScaleSpace					: Functions to perform the detection based on the scale-space method
 |-Documentation				: Toolbox documentation
 |	|-1D						: Functions to perform basic tests on several 1D signals
 |	|-2D						: Functions to perform basic tests of the several 2D transforms on different images
 |  |-1D						: Useful function to plot results in 1D case (Time-Frequency plane, components, boundaries)
 |  |-2D						: Useful function to plot results in 2D case (different type of components, 2D boundaries,...)

The best way to learn how to use this toolbox is to look at the documentation and play with the files named Test_xxxx 
on the subfolders of the Tests folders.
The provided test scripts are the ones, with new options, used to generate the experiments presented in the two papers.
Some utlities are provided to visualize the transform outputs, the detected Fourier supports, ...