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A Numerical Tour of Signal Processing

by Gabriel Peyre

 

08 Jan 2006 (Updated 19 Jul 2009)

Code covered by BSD License  

A set of Matlab experiments that illustrates advanced computational signal and image processing.

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File Information
Description

For an up-to-date set of experiments, please visit this web page
http://www.ceremade.dauphine.fr/~peyre/wavelet-tour/

Each directory is an independent tour.
MATLAB release MATLAB 7 (R14)
Zip File Content  
Published M Files 1D Higher Order Wavelets, 2D Daubechies Wavelets, Advanced Wavelet Thresholdings, Color Image Processing, Compressed Sampling, Data Dependent Noise Models, Denoising by Sobolev and Total Variation Flows, Dictionary Learning, Entropic Coding and Compression, Image Approximation with Orthogonal Bases, Image Compression with Wavelets, Image Denoising with Linear Methods, Image Denoising with Wavelets, Inpainting using Sparse Regularization, Multi-spectral Imaging, Natural Images Statistics, Non Local Means, Outliers and Median Denoiser, Reconstruction from Compressive Fourier Measurements, Reconstruction from Partial Tomography Measurements, Signal and Image Noise Models, Signal Denoising with Wavelets, Sparse Deconvolution, Sparse Spikes Deconvolution with L1 Pursuit, Sparse Spikes Deconvolution with Matching Pursuits, Variational Inpainting, Video Coding, Volumetric wavelet Data Processing, Wavelet Block Thresholding
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A Numerical Tour of Signal Processing
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numerical-tour/toolbox_signal/centaur2.png,
numerical-tour/toolbox_signal/compute_conditional_histogram.m,
numerical-tour/toolbox_signal/compute_entropy.m,
numerical-tour/toolbox_signal/compute_entropy.sci,
numerical-tour/toolbox_signal/compute_gaussian_filter.m,
numerical-tour/toolbox_signal/compute_gaussian_filter.sci,
numerical-tour/toolbox_signal/compute_histogram.m,
numerical-tour/toolbox_signal/compute_hufftree.m,
numerical-tour/toolbox_signal/compute_hufftree.sci,
numerical-tour/toolbox_signal/compute_l2err.asv,
numerical-tour/toolbox_signal/compute_l2err.m,
numerical-tour/toolbox_signal/compute_quadsel.m,
numerical-tour/toolbox_signal/compute_quadsel.sci,
numerical-tour/toolbox_signal/compute_shape_boundary.m,
numerical-tour/toolbox_signal/compute_total_variation.m,
numerical-tour/toolbox_signal/compute_wavelet_filter.m,
numerical-tour/toolbox_signal/compute_wavelet_filter.sci,
numerical-tour/toolbox_signal/corral.png,
numerical-tour/toolbox_signal/cortex.png,
numerical-tour/toolbox_signal/CS.sci,
numerical-tour/toolbox_signal/dct.m,
numerical-tour/toolbox_signal/dct.sci,
numerical-tour/toolbox_signal/dct2.m,
numerical-tour/toolbox_signal/div.m,
numerical-tour/toolbox_signal/div.sci,
numerical-tour/toolbox_signal/drum.wav,
numerical-tour/toolbox_signal/female.wav,
numerical-tour/toolbox_signal/fftn.sci,
numerical-tour/toolbox_signal/fingerprint.jpg,
numerical-tour/toolbox_signal/flowers.jpg,
numerical-tour/toolbox_signal/Fourier.sci,
numerical-tour/toolbox_signal/grad.m,
numerical-tour/toolbox_signal/grad.sci,
numerical-tour/toolbox_signal/hair.png,
numerical-tour/toolbox_signal/hist.sci,
numerical-tour/toolbox_signal/huffman_gencode.m,
numerical-tour/toolbox_signal/huffman_gencode.sci,
numerical-tour/toolbox_signal/iCS.sci,
numerical-tour/toolbox_signal/idct.m,
numerical-tour/toolbox_signal/idct.sci,
numerical-tour/toolbox_signal/idct2.m,
numerical-tour/toolbox_signal/ifft2.sci,
numerical-tour/toolbox_signal/ifftn.sci,
numerical-tour/toolbox_signal/iFourier.sci,
numerical-tour/toolbox_signal/image_resize.m,
numerical-tour/toolbox_signal/image_resize.sci,
numerical-tour/toolbox_signal/imageplot.m,
numerical-tour/toolbox_signal/imageplot.sci,
numerical-tour/toolbox_signal/iradon.m,
numerical-tour/toolbox_signal/isosurface.sci,
numerical-tour/toolbox_signal/lena.png,
numerical-tour/toolbox_signal/load_image.m,
numerical-tour/toolbox_signal/load_image.sci,
numerical-tour/toolbox_signal/load_signal.m,
numerical-tour/toolbox_signal/load_signal.sci,
numerical-tour/toolbox_signal/load_sound.m,
numerical-tour/toolbox_signal/load_sound.sci,
numerical-tour/toolbox_signal/mad.m,
numerical-tour/toolbox_signal/male.wav,
numerical-tour/toolbox_signal/mandrill.png,
numerical-tour/toolbox_signal/parrot-mask.png,
numerical-tour/toolbox_signal/parrot.png,
numerical-tour/toolbox_signal/peform_wiener_filtering.m,
numerical-tour/toolbox_signal/peform_wiener_filtering.sci,
numerical-tour/toolbox_signal/peppers-bw.png,
numerical-tour/toolbox_signal/perform_arith_coding.m,
numerical-tour/toolbox_signal/perform_arith_coding.sci,
numerical-tour/toolbox_signal/perform_arith_fixed.m,
numerical-tour/toolbox_signal/perform_arith_fixed.sci,
numerical-tour/toolbox_signal/perform_blurring.m,
numerical-tour/toolbox_signal/perform_blurring.sci,
numerical-tour/toolbox_signal/perform_convolution.m,
numerical-tour/toolbox_signal/perform_convolution.sci,
numerical-tour/toolbox_signal/perform_haar_transf.m,
numerical-tour/toolbox_signal/perform_haar_transf.sci,
numerical-tour/toolbox_signal/perform_hist_eq.m,
numerical-tour/toolbox_signal/perform_hist_eq.sci,
numerical-tour/toolbox_signal/perform_homotopy.m,
numerical-tour/toolbox_signal/perform_huffcoding.m,
numerical-tour/toolbox_signal/perform_huffcoding.sci,
numerical-tour/toolbox_signal/perform_median_filtering.m,
numerical-tour/toolbox_signal/perform_median_filtering.sci,
numerical-tour/toolbox_signal/perform_omp.m,
numerical-tour/toolbox_signal/perform_stft.m,
numerical-tour/toolbox_signal/perform_stft.sci,
numerical-tour/toolbox_signal/perform_tensor_decomp.m,
numerical-tour/toolbox_signal/perform_tensor_recomp.m,
numerical-tour/toolbox_signal/perform_thresholding.m,
numerical-tour/toolbox_signal/perform_thresholding.sci,
numerical-tour/toolbox_signal/perform_tv_denoising.m,
numerical-tour/toolbox_signal/perform_wavelet_transf.m,
numerical-tour/toolbox_signal/perform_wavelet_transf.sci,
numerical-tour/toolbox_signal/perform_wavortho_transf.asv,
numerical-tour/toolbox_signal/perform_wavortho_transf.m,
numerical-tour/toolbox_signal/perform_wavortho_transf.sci,
numerical-tour/toolbox_signal/phantom.m,
numerical-tour/toolbox_signal/plot3.sci,
numerical-tour/toolbox_signal/plot_dictionnary.m,
numerical-tour/toolbox_signal/plot_hufftree.m,
numerical-tour/toolbox_signal/plot_hufftree.sci,
numerical-tour/toolbox_signal/plot_levelset.m,
numerical-tour/toolbox_signal/plot_levelset.sci,
numerical-tour/toolbox_signal/plot_sparse_diracs.m,
numerical-tour/toolbox_signal/plot_sparse_diracs.sci,
numerical-tour/toolbox_signal/plot_spectrogram.m,
numerical-tour/toolbox_signal/plot_spectrogram.sci,
numerical-tour/toolbox_signal/plot_vf.m,
numerical-tour/toolbox_signal/plot_vf.sci,
numerical-tour/toolbox_signal/plot_wavelet.m,
numerical-tour/toolbox_signal/plot_wavelet.sci,
numerical-tour/toolbox_signal/psnr.m,
numerical-tour/toolbox_signal/psnr.sci,
numerical-tour/toolbox_signal/radon.m,
numerical-tour/toolbox_signal/read_bin.m,
numerical-tour/toolbox_signal/read_bin.sci,
numerical-tour/toolbox_signal/read_bmp.sci,
numerical-tour/toolbox_signal/rubik1.png,
numerical-tour/toolbox_signal/rubik2.png,
numerical-tour/toolbox_signal/rubik3.png,
numerical-tour/toolbox_signal/set_axis.m,
numerical-tour/toolbox_signal/set_axis.sci,
numerical-tour/toolbox_signal/set_colormap.m,
numerical-tour/toolbox_signal/set_colormap.sci,
numerical-tour/toolbox_signal/snr.m,
numerical-tour/toolbox_signal/snr.sci,
numerical-tour/toolbox_signal/subsampling.m,
numerical-tour/toolbox_signal/subsampling.sci,
numerical-tour/toolbox_signal/taxi1.png,
numerical-tour/toolbox_signal/taxi2.png,
numerical-tour/toolbox_signal/taxi3.png,
numerical-tour/toolbox_signal/upsample.asv,
numerical-tour/toolbox_signal/upsampling.m,
numerical-tour/toolbox_signal/upsampling.sci,
numerical-tour/toolbox_signal/vessels.png,
numerical-tour/toolbox_signal/write_bin.m,
numerical-tour/toolbox_signal/write_bmp.sci,
numerical-tour/wavelet_daubechies1d/index.png,
numerical-tour/wavelet_daubechies1d/index_01.png,
numerical-tour/wavelet_daubechies1d/index_02.png,
numerical-tour/wavelet_daubechies1d/index_03.png,
numerical-tour/wavelet_daubechies1d/index_04.png,
numerical-tour/wavelet_daubechies1d/index_05.png,
numerical-tour/wavelet_daubechies1d/index_06.png,
numerical-tour/wavelet_daubechies1d/index_07.png,
numerical-tour/wavelet_daubechies1d/index_08.png,
numerical-tour/wavelet_daubechies1d/index_09.png,
numerical-tour/wavelet_daubechies1d/index_10.png,
numerical-tour/wavelet_daubechies2d/index.png,
numerical-tour/wavelet_daubechies2d/index_01.png,
numerical-tour/wavelet_daubechies2d/index_02.png,
numerical-tour/wavelet_daubechies2d/index_03.png,
numerical-tour/wavelet_daubechies2d/index_04.png,
numerical-tour/wavelet_daubechies2d/index_05.png,
numerical-tour/wavelet_daubechies2d/index_06.png,
numerical-tour/wavelet_daubechies2d/index_07.png,
numerical-tour/wavelet_daubechies2d/index_08.png,
numerical-tour/wavelet_daubechies2d/index_09.png,
numerical-tour/wavelet_daubechies2d/index_10.png,
numerical-tour/wavelet_daubechies2d/index_11.png,
numerical-tour/wavelet_daubechies2d/index_12.png,
numerical-tour/wavelet_daubechies2d/index_13.png
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Comments and Ratings (22)
11 Jan 2006 Pascal Getreuer

This set of numerical experiments complements "A Wavelet Tour" nicely. The examples follow the book. The writing avoids theory and sticks to application. It is also a good standalone wavelets introduction: skip the math and see wavelets in action.
23 Feb 2006 beginner wavelet

I tried to use MATLAB7.0 to perform 1D wavelet transform mentioned in lecture 1, but an error message was displayed as below:

??? Undefined command/function 'reverse'.

Error in ==> perform_wavelet_transform>aconv at 761
fflip = reverse(f);

Error in ==> perform_wavelet_transform>DownDyadLo at 714
d = aconv(qmf,x);

Error in ==> perform_wavelet_transform>FWT_PO at 468
    beta = DownDyadLo(beta,qmf) ;

Error in ==> perform_wavelet_transform at 123
            y = FWT_PO(x,Jmin,qmf);

When I tried to perform 2D wavelet transform in lecture 1. The error message was shown as :
??? Undefined command/function 'image_resize'.

Error in ==> load_image at 253
                    M = image_resize(M,n,n);

Why do all these problems occur? Are some files missing?

Thanks in advance.
26 Apr 2006 Alix Herrmann

Regarding the missing files "reverse" and "image_resize", they seem to be in Gabriel's other toolboxes on Matlab Central: "Toolbox signal" and "Toolbox Misc". HTH!
23 Jun 2006 Michael Mina  
04 Jul 2006 thien luu

Wavelets, tutorial, approximation, denoising, compression
28 Aug 2006 Seth cers

excelent, like a first approach to denoising images with Wavelets in Matlab
22 Nov 2006 saurabh chandra

nice tool
17 Dec 2006 jianfei ge  
06 Mar 2007 Federico Cardona

Great, do you have more about the wavelets for DSPs?
08 Mar 2007 wang ju

very good !thank you ^_^
03 Apr 2007 NELWIN RAJ N.R.

Thanks
01 Jun 2007 Milan Dotlic

I'm looking for Matlab code for ploting scaling function and wavelet
for Daubechies D2, D3
and Coiflet
28 Jul 2007 hong huang

thank you?
20 Sep 2007 Minh Le

Thanks!
03 Jan 2008 hader madu

wavelet matlab

11 Mar 2008 david lawerence  
13 Apr 2008 Santiago Relos  
10 May 2008 Jesus Porco

Requiero teoria de Wavelet
17 May 2008 Minh Thanh

Thank for your contribution
31 Jul 2008 Heri Firmansyah

good job!!!
18 Sep 2008 rahul singh

 Packers and Movers Delhi- Professional India Packers and Movers offers packers and movers provides best packers and movers

24 Sep 2008 Muhammad Mahbubur Rahman

Thank you very much.
Please login to add a comment or rating.
Updates
15 Dec 2006

Lectures 3,4 and 6 have been rewritten.
27 Jun 2009

Added new tours.
19 Jul 2009

Modified license.
Tag Activity for this File
Tag Applied By Date/Time
time frequency Gabriel Peyre 22 Oct 2008 08:11:41
wavelets Gabriel Peyre 22 Oct 2008 08:11:41
tutorial Gabriel Peyre 22 Oct 2008 08:11:41
approximation Gabriel Peyre 22 Oct 2008 08:11:41
compression Gabriel Peyre 22 Oct 2008 08:11:41
denoising Gabriel Peyre 22 Oct 2008 08:11:41
approximation arian 07 Jul 2009 23:01:15
approximation Jose Cardenas 15 Sep 2009 06:37:24
compression Jose Cardenas 15 Sep 2009 06:37:28
 

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