Mercurial > hg > smallbox
view util/Rice Wavelet Toolbox/mrdwt.mhelp @ 199:751fa3bddd30 luisf_dev
Added config file for SMALL_solve (removed the if/else code from SMALL_solve); added headers to both config files;
author | luisf <luis.figueira@eecs.qmul.ac.uk> |
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date | Tue, 20 Mar 2012 14:28:51 +0000 |
parents | f69ae88b8be5 |
children |
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function [yl,yh,L] = mrdwt(x,h,L); % [yl,yh,L] = mrdwt(x,h,L); % % Function computes the redundant discrete wavelet transform y % for a 1D or 2D input signal. (Redundant means here that the % sub-sampling after each stage is omitted.) yl contains the % lowpass and yh the highpass components. In the case of a 2D % signal, the ordering in yh is % [lh hl hh lh hl ... ] (first letter refers to row, second to % column filtering). % % Input: % x : finite length 1D or 2D signal (implicitly periodized) % h : scaling filter % L : number of levels. In the case of a 1D % length(x) must be divisible by 2^L; % in the case of a 2D signal, the row and the % column dimension must be divisible by 2^L. % If no argument is % specified, a full DWT is returned for maximal possible L. % % Output: % yl : lowpass component % yh : highpass components % L : number of levels % % HERE'S AN EASY WAY TO RUN THE EXAMPLES: % Cut-and-paste the example you want to run to a new file % called ex.m, for example. Delete out the % at the beginning % of each line in ex.m (Can use search-and-replace in your editor % to replace it with a space). Type 'ex' in matlab and hit return. % % % Example 1:: % x = makesig('Leopold',8); % h = daubcqf(4,'min'); % L = 1; % [yl,yh,L] = mrdwt(x,h,L) % yl = 0.8365 0.4830 0 0 0 0 -0.1294 0.2241 % yh = -0.2241 -0.1294 0 0 0 0 -0.4830 0.8365 % L = 1 % Example 2: % load lena; % h = daubcqf(4,'min'); % L = 2; % [ll_lev2,yh,L] = mrdwt(lena,h,L); % lena is a 256x256 matrix % N = 256; % lh_lev1 = yh(:,1:N); % hl_lev1 = yh(:,N+1:2*N); % hh_lev1 = yh(:,2*N+1:3*N); % lh_lev2 = yh(:,3*N+1:4*N); % hl_lev2 = yh(:,4*N+1:5*N); % hh_lev2 = yh(:,5*N+1:6*N); % figure; colormap(gray); imagesc(lena); title('Original Image'); % figure; colormap(gray); imagesc(ll_lev2); title('LL Level 2'); % figure; colormap(gray); imagesc(hh_lev2); title('HH Level 2'); % figure; colormap(gray); imagesc(hl_lev2); title('HL Level 2'); % figure; colormap(gray); imagesc(lh_lev2); title('LH Level 2'); % figure; colormap(gray); imagesc(hh_lev1); title('HH Level 1'); % figure; colormap(gray); imagesc(hl_lev2); title('HL Level 1'); % figure; colormap(gray); imagesc(lh_lev2); title('LH Level 1'); % % See also: mdwt, midwt, mirdwt % % Warning! min(size(x))/2^L should be greater than length(h) % %File Name: mrdwt.m %Last Modification Date: 08/07/95 15:14:47 %Current Version: mrdwt.m 2.4 %File Creation Date: Wed Oct 19 10:51:58 1994 %Author: Markus Lang <lang@jazz.rice.edu> % %Copyright (c) 2000 RICE UNIVERSITY. All rights reserved. %Created by Markus Lang, Department of ECE, Rice University. % %This software is distributed and licensed to you on a non-exclusive %basis, free-of-charge. Redistribution and use in source and binary forms, %with or without modification, are permitted provided that the following %conditions are met: % %1. Redistribution of source code must retain the above copyright notice, % this list of conditions and the following disclaimer. %2. Redistribution in binary form must reproduce the above copyright notice, % this list of conditions and the following disclaimer in the % documentation and/or other materials provided with the distribution. %3. All advertising materials mentioning features or use of this software % must display the following acknowledgment: This product includes % software developed by Rice University, Houston, Texas and its contributors. %4. Neither the name of the University nor the names of its contributors % may be used to endorse or promote products derived from this software % without specific prior written permission. % %THIS SOFTWARE IS PROVIDED BY WILLIAM MARSH RICE UNIVERSITY, HOUSTON, TEXAS, %AND CONTRIBUTORS AS IS AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, %BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS %FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL RICE UNIVERSITY %OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, %EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, %PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; %OR BUSINESS INTERRUPTIONS) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, %WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR %OTHERWISE), PRODUCT LIABILITY, OR OTHERWISE ARISING IN ANY WAY OUT OF THE %USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. % %For information on commercial licenses, contact Rice University's Office of %Technology Transfer at techtran@rice.edu or (713) 348-6173 % %Change History: % %Modification #1 %Mon Aug 7 14:26:26 CDT 1995 %Rebecca Hindman <hindman@ece.rice.edu> %Added L to function line so that it can be displayed as an output % %Thursday Mar 2 2000 % Added Example 2 % Felix Fernandes <felixf@rice.edu>