README**********************************1. IntroductionThis package is a free collection of Matlab routines for computingwave atom transforms in one, two and three dimensions. Theimplementation is described in detail in the following two papers:(a) L. Demanet, L. Ying, Wave atoms and sparsity of oscillatorypatterns, to appear in Appl. Comput. Harmon. Anal. 2007.(b) L. Demanet, L. Ying, Curvelets and wave atoms for mirror-extendedimages, technical report. 2007.Both of them can be downloaded from www.waveatom.org.**********************************2. List of filesMost of the transform functions have two versions: standard andsymmetric. In the standard version, the coefficients are organized ina cell array as described in the papers. In the symmetric version, thecoefficients are stored in an array. The symmetric version isparticularly useful for applications like thresholding.1D wave atom transform	fwa1.m - forward transform	iwa1.m - inverse transform	fwa1sym.m - forward transform, symmetric version	iwa1sym.m - inverse transform, symmetric version2D wave atom transform	fwa2.m - forward transform	iwa2.m - inverse transform	fwa2sym.m - forward transform, symmetric version	iwa2sym.m - inverse transform, symmetric version3D wave atom transform	fwa3.m - forward transform	iwa3.m - inverse transform	fwa3sym.m - forward transform, symmetric version	iwa3sym.m - inverse transform, symmetric version2D mirror-extended wave atom transform	mefwa2.m - forward transform	meiwa2.m - inverse transform	mefwa2sym.m - forward transform, symmetric version	meiwa2sym.m - inverse transform, symmetric version2d mirror-extended curvelet transform	mefcv2.m - forward transform	meicv2.m - inverse transformtest functions	test_wa1.m - display several members of 1D wave atom orthobasis	test_wa2.m - display several members of 2D wave atom orthobasis	test_wa3.m - display one member of 3D wave atom orthobasis	test_wa2_reconstruction.m - partial image reconstruction using wave atoms	test_wa2_denoising.m - image denoising  using 2D wave atom frame with hard thresholding and cycle spinning	test_mewa2.m - display several 2D mirror-extended wave atoms	test_mecv2.m - display several 2D mirror-extended curvelets	test_mewa2_reconstruction.m - partial image reconstruction using mirror-extended wave atoms	test_mecv2_reconstruction.m - partial image reconstruction using mirror-extended curveletsinternal functions	freq_pat.m	g.m	kf_lf.m	kf_rt.m	cvwindow.m	mescatter.m	mecombine.m	dct2.m	idct2.m	data files	data_fingerprint.jpg - fingerprint image from Chris Brislawn	data_seismic.jpg - seismic data from Eric Verschuur and Felix Herrman**********************************3. CopyrightCopyright (c) 2007 Lexing Ying and Laurent DemanetThis program is free software; you can redistribute it and/ormodify it under the terms of the GNU General Public License aspublished by the Free Software Foundation; either version 2 of theLicense, or (at your option) any later version. This program is distributed in the hope that it will be useful,but WITHOUT ANY WARRANTY; without even the implied warranty ofMERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See theGNU General Public License for more details.You should have received a copy of the GNU General Public Licensealong with this program; if not, write to the Free SoftwareFoundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307USA.**********************************4. ContactsFor further information, please contact demanet@gmail.com orlexing@math.utexas.edu.