% Image (2D) denoising demo using CCPi-RGL clear; close all fsep = '/'; Path1 = sprintf(['..' fsep 'src' fsep 'Matlab' fsep 'mex_compile' fsep 'installed'], 1i); Path2 = sprintf([ data' fsep], 1i); Path3 = sprintf(['..' filesep 'src' filesep 'Matlab' filesep 'supp'], 1i); addpath(Path1); addpath(Path2); addpath(Path3); Im = double(imread('lena_gray_512.tif'))/255; % loading image u0 = Im + .05*randn(size(Im)); u0(u0 < 0) = 0; figure; imshow(u0, [0 1]); title('Noisy image'); lambda_reg = 0.03; % regularsation parameter for all methods %% fprintf('Denoise using the ROF-TV model (CPU) \n'); tau_rof = 0.0025; % time-marching constant iter_rof = 750; % number of ROF iterations tic; u_rof = ROF_TV(single(u0), lambda_reg, iter_rof, tau_rof); toc; energyfunc_val_rof = TV_energy(single(u_rof),single(u0),lambda_reg, 1); % get energy function value rmseROF = (RMSE(u_rof(:),Im(:))); fprintf('%s %f \n', 'RMSE error for ROF-TV is:', rmseROF); figure; imshow(u_rof, [0 1]); title('ROF-TV denoised image (CPU)'); %% % fprintf('Denoise using the ROF-TV model (GPU) \n'); % tau_rof = 0.0025; % time-marching constant % iter_rof = 750; % number of ROF iterations % tic; u_rofG = ROF_TV_GPU(single(u0), lambda_reg, iter_rof, tau_rof); toc; % figure; imshow(u_rofG, [0 1]); title('ROF-TV denoised image (GPU)'); %% fprintf('Denoise using the FGP-TV model (CPU) \n'); iter_fgp = 1000; % number of FGP iterations epsil_tol = 1.0e-06; % tolerance tic; u_fgp = FGP_TV(single(u0), lambda_reg, iter_fgp, epsil_tol); toc; energyfunc_val_fgp = TV_energy(single(u_fgp),single(u0),lambda_reg, 1); % get energy function value rmseFGP = (RMSE(u_fgp(:),Im(:))); fprintf('%s %f \n', 'RMSE error for FGP-TV is:', rmseFGP); figure; imshow(u_fgp, [0 1]); title('FGP-TV denoised image (CPU)'); %% % fprintf('Denoise using the FGP-TV model (GPU) \n'); % iter_fgp = 1000; % number of FGP iterations % epsil_tol = 1.0e-05; % tolerance % tic; u_fgpG = FGP_TV_GPU(single(u0), lambda_reg, iter_fgp, epsil_tol); toc; % figure; imshow(u_fgpG, [0 1]); title('FGP-TV denoised image (GPU)'); %% fprintf('Denoise using the SB-TV model (CPU) \n'); iter_sb = 150; % number of SB iterations epsil_tol = 1.0e-06; % tolerance tic; u_sb = SB_TV(single(u0), lambda_reg, iter_sb, epsil_tol); toc; energyfunc_val_sb = TV_energy(single(u_sb),single(u0),lambda_reg, 1); % get energy function value rmseSB = (RMSE(u_sb(:),Im(:))); fprintf('%s %f \n', 'RMSE error for SB-TV is:', rmseSB); figure; imshow(u_sb, [0 1]); title('SB-TV denoised image (CPU)'); %% % fprintf('Denoise using the SB-TV model (GPU) \n'); % iter_sb = 150; % number of SB iterations % epsil_tol = 1.0e-06; % tolerance % tic; u_sbG = SB_TV_GPU(single(u0), lambda_reg, iter_sb, epsil_tol); toc; % figure; imshow(u_sbG, [0 1]); title('SB-TV denoised image (GPU)'); %% fprintf('Denoise using the TGV model (CPU) \n'); lambda_TGV = 0.045; % regularisation parameter alpha1 = 1.0; % parameter to control the first-order term alpha0 = 2.0; % parameter to control the second-order term iter_TGV = 2000; % number of Primal-Dual iterations for TGV tic; u_tgv = TGV(single(u0), lambda_TGV, alpha1, alpha0, iter_TGV); toc; rmseTGV = (RMSE(u_tgv(:),Im(:))); fprintf('%s %f \n', 'RMSE error for TGV is:', rmseTGV); figure; imshow(u_tgv, [0 1]); title('TGV denoised image (CPU)'); %% % fprintf('Denoise using the TGV model (GPU) \n'); % lambda_TGV = 0.045; % regularisation parameter % alpha1 = 1.0; % parameter to control the first-order term % alpha0 = 2.0; % parameter to control the second-order term % iter_TGV = 2000; % number of Primal-Dual iterations for TGV % tic; u_tgv_gpu = TGV_GPU(single(u0), lambda_TGV, alpha1, alpha0, iter_TGV); toc; % rmseTGV_gpu = (RMSE(u_tgv_gpu(:),Im(:))); % fprintf('%s %f \n', 'RMSE error for TGV is:', rmseTGV_gpu); % figure; imshow(u_tgv_gpu, [0 1]); title('TGV denoised image (GPU)'); %% fprintf('Denoise using the ROF-LLT model (CPU) \n'); lambda_ROF = lambda_reg; % ROF regularisation parameter lambda_LLT = lambda_reg*0.45; % LLT regularisation parameter iter_LLT = 1; % iterations tau_rof_llt = 0.0025; % time-marching constant tic; u_rof_llt = LLT_ROF(single(u0), lambda_ROF, lambda_LLT, iter_LLT, tau_rof_llt); toc; rmseROFLLT = (RMSE(u_rof_llt(:),Im(:))); fprintf('%s %f \n', 'RMSE error for TGV is:', rmseROFLLT); figure; imshow(u_rof_llt, [0 1]); title('ROF-LLT denoised image (CPU)'); %% % fprintf('Denoise using the ROF-LLT model (GPU) \n'); % lambda_ROF = lambda_reg; % ROF regularisation parameter % lambda_LLT = lambda_reg*0.45; % LLT regularisation parameter % iter_LLT = 500; % iterations % tau_rof_llt = 0.0025; % time-marching constant % tic; u_rof_llt_g = LLT_ROF_GPU(single(u0), lambda_ROF, lambda_LLT, iter_LLT, tau_rof_llt); toc; % rmseROFLLT_g = (RMSE(u_rof_llt_g(:),Im(:))); % fprintf('%s %f \n', 'RMSE error for TGV is:', rmseROFLLT_g); % figure; imshow(u_rof_llt_g, [0 1]); title('ROF-LLT denoised image (GPU)'); %% fprintf('Denoise using Nonlinear-Diffusion model (CPU) \n'); iter_diff = 800; % number of diffusion iterations lambda_regDiff = 0.025; % regularisation for the diffusivity sigmaPar = 0.015; % edge-preserving parameter tau_param = 0.025; % time-marching constant tic; u_diff = NonlDiff(single(u0), lambda_regDiff, sigmaPar, iter_diff, tau_param, 'Huber'); toc; rmseDiffus = (RMSE(u_diff(:),Im(:))); fprintf('%s %f \n', 'RMSE error for Nonlinear Diffusion is:', rmseDiffus); figure; imshow(u_diff, [0 1]); title('Diffusion denoised image (CPU)'); %% % fprintf('Denoise using Nonlinear-Diffusion model (GPU) \n'); % iter_diff = 800; % number of diffusion iterations % lambda_regDiff = 0.025; % regularisation for the diffusivity % sigmaPar = 0.015; % edge-preserving parameter % tau_param = 0.025; % time-marching constant % tic; u_diff_g = NonlDiff_GPU(single(u0), lambda_regDiff, sigmaPar, iter_diff, tau_param, 'Huber'); toc; % figure; imshow(u_diff_g, [0 1]); title('Diffusion denoised image (GPU)'); %% fprintf('Denoise using Fourth-order anisotropic diffusion model (CPU) \n'); iter_diff = 800; % number of diffusion iterations lambda_regDiff = 3.5; % regularisation for the diffusivity sigmaPar = 0.02; % edge-preserving parameter tau_param = 0.0015; % time-marching constant tic; u_diff4 = Diffusion_4thO(single(u0), lambda_regDiff, sigmaPar, iter_diff, tau_param); toc; rmseDiffHO = (RMSE(u_diff4(:),Im(:))); fprintf('%s %f \n', 'RMSE error for Fourth-order anisotropic diffusion is:', rmseDiffHO); figure; imshow(u_diff4, [0 1]); title('Diffusion 4thO denoised image (CPU)'); %% % fprintf('Denoise using Fourth-order anisotropic diffusion model (GPU) \n'); % iter_diff = 800; % number of diffusion iterations % lambda_regDiff = 3.5; % regularisation for the diffusivity % sigmaPar = 0.02; % edge-preserving parameter % tau_param = 0.0015; % time-marching constant % tic; u_diff4_g = Diffusion_4thO_GPU(single(u0), lambda_regDiff, sigmaPar, iter_diff, tau_param); toc; % figure; imshow(u_diff4_g, [0 1]); title('Diffusion 4thO denoised image (GPU)'); %% fprintf('Weights pre-calculation for Non-local TV (takes time on CPU) \n'); SearchingWindow = 7; PatchWindow = 2; NeighboursNumber = 20; % the number of neibours to include h = 0.23; % edge related parameter for NLM tic; [H_i, H_j, Weights] = PatchSelect(single(u0), SearchingWindow, PatchWindow, NeighboursNumber, h); toc; %% fprintf('Denoise using Non-local Total Variation (CPU) \n'); iter_nltv = 3; % number of nltv iterations lambda_nltv = 0.05; % regularisation parameter for nltv tic; u_nltv = Nonlocal_TV(single(u0), H_i, H_j, 0, Weights, lambda_nltv, iter_nltv); toc; rmse_nltv = (RMSE(u_nltv(:),Im(:))); fprintf('%s %f \n', 'RMSE error for Non-local Total Variation is:', rmse_nltv); figure; imagesc(u_nltv, [0 1]); colormap(gray); daspect([1 1 1]); title('Non-local Total Variation denoised image (CPU)'); %% %>>>>>>>>>>>>>> MULTI-CHANNEL priors <<<<<<<<<<<<<<< % fprintf('Denoise using the FGP-dTV model (CPU) \n'); % create another image (reference) with slightly less amount of noise u_ref = Im + .01*randn(size(Im)); u_ref(u_ref < 0) = 0; % u_ref = zeros(size(Im),'single'); % pass zero reference (dTV -> TV) iter_fgp = 1000; % number of FGP iterations epsil_tol = 1.0e-06; % tolerance eta = 0.2; % Reference image gradient smoothing constant tic; u_fgp_dtv = FGP_dTV(single(u0), single(u_ref), lambda_reg, iter_fgp, epsil_tol, eta); toc; rmse_dTV= (RMSE(u_fgp_dtv(:),Im(:))); fprintf('%s %f \n', 'RMSE error for Directional Total Variation (dTV) is:', rmse_dTV); figure; imshow(u_fgp_dtv, [0 1]); title('FGP-dTV denoised image (CPU)'); %% % fprintf('Denoise using the FGP-dTV model (GPU) \n'); % % create another image (reference) with slightly less amount of noise % u_ref = Im + .01*randn(size(Im)); u_ref(u_ref < 0) = 0; % % u_ref = zeros(size(Im),'single'); % pass zero reference (dTV -> TV) % % iter_fgp = 1000; % number of FGP iterations % epsil_tol = 1.0e-06; % tolerance % eta = 0.2; % Reference image gradient smoothing constant % tic; u_fgp_dtvG = FGP_dTV_GPU(single(u0), single(u_ref), lambda_reg, iter_fgp, epsil_tol, eta); toc; % figure; imshow(u_fgp_dtvG, [0 1]); title('FGP-dTV denoised image (GPU)'); %% fprintf('Denoise using the TNV prior (CPU) \n'); slices = 5; N = 512; vol3D = zeros(N,N,slices, 'single'); for i = 1:slices vol3D(:,:,i) = Im + .05*randn(size(Im)); end vol3D(vol3D < 0) = 0; iter_tnv = 200; % number of TNV iterations tic; u_tnv = TNV(single(vol3D), lambda_reg, iter_tnv); toc; figure; imshow(u_tnv(:,:,3), [0 1]); title('TNV denoised stack of channels (CPU)');