idamnjanovic@43: %% DICTIONARY LEARNING FOR IMAGE DENOISING idamnjanovic@43: % This file contains an example of how SMALLbox can be used to test different idamnjanovic@43: % dictionary learning techniques in Image Denoising problem. idamnjanovic@43: % It calls generateImageDenoiseProblem that will let you to choose image, idamnjanovic@43: % add noise and use noisy image to generate training set for dictionary idamnjanovic@43: % learning. idamnjanovic@43: % Three dictionary learning techniques were compared: idamnjanovic@43: % - KSVD - M. Elad, R. Rubinstein, and M. Zibulevsky, "Efficient idamnjanovic@43: % Implementation of the K-SVD Algorithm using Batch Orthogonal idamnjanovic@43: % Matching Pursuit", Technical Report - CS, Technion, April 2008. idamnjanovic@43: % - KSVDS - R. Rubinstein, M. Zibulevsky, and M. Elad, "Learning Sparse idamnjanovic@43: % Dictionaries for Sparse Signal Approximation", Technical idamnjanovic@43: % Report - CS, Technion, June 2009. idamnjanovic@43: % - SPAMS - J. Mairal, F. Bach, J. Ponce and G. Sapiro. Online idamnjanovic@43: % Dictionary Learning for Sparse Coding. International idamnjanovic@43: % Conference on Machine Learning,Montreal, Canada, 2009 idamnjanovic@43: % idamnjanovic@43: % idamnjanovic@43: % Ivan Damnjanovic 2010 idamnjanovic@43: %% idamnjanovic@43: idamnjanovic@43: clear; idamnjanovic@43: idamnjanovic@43: % If you want to load the image outside of generateImageDenoiseProblem idamnjanovic@43: % function uncomment following lines. This can be useful if you want to idamnjanovic@43: % denoise more then one image for example. idamnjanovic@43: idamnjanovic@43: % TMPpath=pwd; idamnjanovic@43: % FS=filesep; idamnjanovic@43: % [pathstr1, name, ext, versn] = fileparts(which('SMALLboxSetup.m')); idamnjanovic@43: % cd([pathstr1,FS,'data',FS,'images']); idamnjanovic@43: % [filename,pathname] = uigetfile({'*.png;'},'Select a file containin pre-calculated notes'); idamnjanovic@43: % [pathstr, name, ext, versn] = fileparts(filename); idamnjanovic@43: % test_image = imread(filename); idamnjanovic@43: % test_image = double(test_image); idamnjanovic@43: % cd(TMPpath); idamnjanovic@43: % SMALL.Problem.name=name; idamnjanovic@43: idamnjanovic@43: idamnjanovic@43: % Defining Image Denoising Problem as Dictionary Learning idamnjanovic@43: % Problem. As an input we set the number of training patches. idamnjanovic@43: idamnjanovic@43: SMALL.Problem = generateImageDenoiseProblem('', 40000, '','', 20); idamnjanovic@43: idamnjanovic@43: Edata=sqrt(prod(SMALL.Problem.blocksize)) * SMALL.Problem.sigma * SMALL.Problem.gain; idamnjanovic@43: maxatoms = floor(prod(SMALL.Problem.blocksize)/2); idamnjanovic@43: %% Use KSVD Dictionary Learning Algorithm to Learn overcomplete dictionary idamnjanovic@43: % idamnjanovic@43: % % Initialising Dictionary structure idamnjanovic@43: % % Setting Dictionary structure fields (toolbox, name, param, D and time) idamnjanovic@43: % % to zero values idamnjanovic@43: % idamnjanovic@43: % SMALL.DL(1)=SMALL_init_DL(); idamnjanovic@43: % idamnjanovic@43: % % Defining the parameters needed for dictionary learning idamnjanovic@43: % idamnjanovic@43: % SMALL.DL(1).toolbox = 'KSVD'; idamnjanovic@43: % SMALL.DL(1).name = 'ksvd'; idamnjanovic@43: % idamnjanovic@43: % % Defining the parameters for KSVD idamnjanovic@43: % % In this example we are learning 256 atoms in 20 iterations, so that idamnjanovic@43: % % every patch in the training set can be represented with target error in idamnjanovic@43: % % L2-norm (EData) idamnjanovic@43: % % Type help ksvd in MATLAB prompt for more options. idamnjanovic@43: % idamnjanovic@43: % idamnjanovic@43: % SMALL.DL(1).param=struct(... idamnjanovic@43: % 'Edata', Edata,... idamnjanovic@43: % 'initdict', SMALL.Problem.initdict,... idamnjanovic@43: % 'dictsize', SMALL.Problem.p,... idamnjanovic@43: % 'iternum', 20,... idamnjanovic@43: % 'memusage', 'high'); idamnjanovic@43: % idamnjanovic@43: % % Learn the dictionary idamnjanovic@43: % idamnjanovic@43: % SMALL.DL(1) = SMALL_learn(SMALL.Problem, SMALL.DL(1)); idamnjanovic@43: %% Initialising Dictionary structure idamnjanovic@43: % Setting Dictionary structure fields (toolbox, name, param, D and time) idamnjanovic@43: % to zero values idamnjanovic@43: % idamnjanovic@43: idamnjanovic@43: SMALL.DL(1)=SMALL_init_DL(); idamnjanovic@43: % Take initial dictonary (overcomplete DCT) to be a final dictionary for idamnjanovic@43: % reconstruction idamnjanovic@43: idamnjanovic@43: SMALL.DL(1).D=SMALL.Problem.initdict; idamnjanovic@43: %% idamnjanovic@43: idamnjanovic@43: % Set SMALL.Problem.A dictionary idamnjanovic@43: % (backward compatiblity with SPARCO: solver structure communicate idamnjanovic@43: % only with Problem structure, ie no direct communication between DL and idamnjanovic@43: % solver structures) idamnjanovic@43: SMALL.Problem.A = SMALL.DL(1).D; idamnjanovic@43: idamnjanovic@43: SparseDict=0; idamnjanovic@43: SMALL.Problem.reconstruct = @(x) ImgDenoise_reconstruct(x, SMALL.Problem, SparseDict); idamnjanovic@43: idamnjanovic@43: %% idamnjanovic@43: % Initialising solver structure idamnjanovic@43: % Setting solver structure fields (toolbox, name, param, solution, idamnjanovic@43: % reconstructed and time) to zero values idamnjanovic@43: idamnjanovic@43: idamnjanovic@43: SMALL.solver(1)=SMALL_init_solver; idamnjanovic@43: idamnjanovic@43: % Defining the parameters needed for image denoising idamnjanovic@43: idamnjanovic@43: SMALL.solver(1).toolbox='ompbox'; idamnjanovic@43: SMALL.solver(1).name='omp2'; idamnjanovic@43: SMALL.solver(1).param=struct(... idamnjanovic@43: 'epsilon',Edata,... idamnjanovic@43: 'maxatoms', maxatoms); idamnjanovic@43: idamnjanovic@43: % Denoising the image - SMALL_denoise function is similar to SMALL_solve, idamnjanovic@43: % but backward compatible with KSVD definition of denoising idamnjanovic@43: % Pay attention that since implicit base dictionary is used, denoising idamnjanovic@43: % can be much faster then using explicit dictionary in KSVD example. idamnjanovic@43: idamnjanovic@43: SMALL.solver(1)=SMALL_solve(SMALL.Problem, SMALL.solver(1)); idamnjanovic@43: idamnjanovic@43: %% idamnjanovic@43: % Initialising solver structure idamnjanovic@43: % Setting solver structure fields (toolbox, name, param, solution, idamnjanovic@43: % reconstructed and time) to zero values idamnjanovic@43: lam=2*SMALL.Problem.sigma;%*sqrt(2*log2(size(SMALL.Problem.A,1))) idamnjanovic@43: for i=1:11 idamnjanovic@43: lambda(i)=lam+5-(i-1); idamnjanovic@43: SMALL.DL(2)=SMALL_init_DL(); idamnjanovic@43: i idamnjanovic@43: %SMALL.Problem.A = SMALL.Problem.initdict; idamnjanovic@43: SMALL.DL(2).D=SMALL.Problem.initdict; idamnjanovic@43: SMALL.solver(2)=SMALL_init_solver; idamnjanovic@43: idamnjanovic@43: % Defining the parameters needed for image denoising idamnjanovic@43: idamnjanovic@43: SMALL.solver(2).toolbox='SPAMS'; idamnjanovic@43: SMALL.solver(2).name='mexLasso'; idamnjanovic@43: SMALL.solver(2).param=struct(... idamnjanovic@43: 'mode', 2, ... idamnjanovic@43: 'lambda',lambda(i),... idamnjanovic@43: 'L', maxatoms); idamnjanovic@43: idamnjanovic@43: % Denoising the image - SMALL_denoise function is similar to SMALL_solve, idamnjanovic@43: % but backward compatible with KSVD definition of denoising idamnjanovic@43: % Pay attention that since implicit base dictionary is used, denoising idamnjanovic@43: % can be much faster then using explicit dictionary in KSVD example. idamnjanovic@43: idamnjanovic@43: SMALL.solver(2)=SMALL_solve(SMALL.Problem, SMALL.solver(2)); idamnjanovic@43: idamnjanovic@43: idamnjanovic@43: % show results % idamnjanovic@43: idamnjanovic@43: %SMALL_ImgDeNoiseResult(SMALL); idamnjanovic@43: idamnjanovic@43: time(1,i) = SMALL.solver(2).time; idamnjanovic@43: psnr(1,i) = SMALL.solver(2).reconstructed.psnr; idamnjanovic@43: end%% show time and psnr %% idamnjanovic@43: figure('Name', 'SPAMS LAMBDA TEST'); idamnjanovic@43: idamnjanovic@43: subplot(1,2,1); plot(lambda, time(1,:), 'ro-'); idamnjanovic@43: title('time vs lambda'); idamnjanovic@43: subplot(1,2,2); plot(lambda, psnr(1,:), 'b*-'); idamnjanovic@43: title('PSNR vs lambda');