% Volume (3D) denoising demo using CCPi-RGL clear; close all Path1 = sprintf(['..' filesep 'src' filesep 'Matlab' filesep 'mex_compile' filesep 'installed'], 1i); Path2 = sprintf(['data' filesep], 1i); Path3 = sprintf(['..' filesep 'src' filesep 'Matlab' filesep 'supp'], 1i); addpath(Path1); addpath(Path2); addpath(Path3); N = 512; slices = 15; vol3D = zeros(N,N,slices, 'single'); Ideal3D = zeros(N,N,slices, 'single'); Im = double(imread('lena_gray_512.tif'))/255; % loading image for i = 1:slices vol3D(:,:,i) = Im + .05*randn(size(Im)); Ideal3D(:,:,i) = Im; end vol3D(vol3D < 0) = 0; figure; imshow(vol3D(:,:,7), [0 1]); title('Noisy image'); %% fprintf('Denoise a volume using the ROF-TV model (CPU) \n'); lambda_reg = 0.03; % regularsation parameter for all methods tau_rof = 0.0025; % time-marching constant iter_rof = 300; % number of ROF iterations epsil_tol = 0.0; % tolerance tic; [u_rof,infovec] = ROF_TV(single(vol3D), lambda_reg, iter_rof, tau_rof, epsil_tol); toc; energyfunc_val_rof = TV_energy(single(u_rof),single(vol3D),lambda_reg, 1); % get energy function value rmse_rof = (RMSE(Ideal3D(:),u_rof(:))); fprintf('%s %f \n', 'RMSE error for ROF is:', rmse_rof); figure; imshow(u_rof(:,:,7), [0 1]); title('ROF-TV denoised volume (CPU)'); %% % fprintf('Denoise a volume using the ROF-TV model (GPU) \n'); % lambda_reg = 0.03; % regularsation parameter for all methods % tau_rof = 0.0025; % time-marching constant % iter_rof = 300; % number of ROF iterations % epsil_tol = 0.0; % tolerance % tic; u_rofG = ROF_TV_GPU(single(vol3D), lambda_reg, iter_rof, tau_rof, epsil_tol); toc; % rmse_rofG = (RMSE(Ideal3D(:),u_rofG(:))); % fprintf('%s %f \n', 'RMSE error for ROF is:', rmse_rofG); % figure; imshow(u_rofG(:,:,7), [0 1]); title('ROF-TV denoised volume (GPU)'); %% fprintf('Denoise a volume using the FGP-TV model (CPU) \n'); lambda_reg = 0.03; % regularsation parameter for all methods iter_fgp = 300; % number of FGP iterations epsil_tol = 0.0; % tolerance tic; [u_fgp,infovec] = FGP_TV(single(vol3D), lambda_reg, iter_fgp, epsil_tol); toc; energyfunc_val_fgp = TV_energy(single(u_fgp),single(vol3D),lambda_reg, 1); % get energy function value rmse_fgp = (RMSE(Ideal3D(:),u_fgp(:))); fprintf('%s %f \n', 'RMSE error for FGP-TV is:', rmse_fgp); figure; imshow(u_fgp(:,:,7), [0 1]); title('FGP-TV denoised volume (CPU)'); %% fprintf('Denoise a volume using the FGP-TV model (GPU) \n'); % lambda_reg = 0.03; % regularsation parameter for all methods % iter_fgp = 300; % number of FGP iterations % epsil_tol = 0.0; % tolerance % tic; u_fgpG = FGP_TV_GPU(single(vol3D), lambda_reg, iter_fgp, epsil_tol); toc; % rmse_fgpG = (RMSE(Ideal3D(:),u_fgpG(:))); % fprintf('%s %f \n', 'RMSE error for FGP-TV is:', rmse_fgpG); % figure; imshow(u_fgpG(:,:,7), [0 1]); title('FGP-TV denoised volume (GPU)'); %% fprintf('Denoise a volume using the SB-TV model (CPU) \n'); iter_sb = 150; % number of SB iterations epsil_tol = 0.0; % tolerance tic; [u_sb,infovec] = SB_TV(single(vol3D), lambda_reg, iter_sb, epsil_tol); toc; energyfunc_val_sb = TV_energy(single(u_sb),single(vol3D),lambda_reg, 1); % get energy function value rmse_sb = (RMSE(Ideal3D(:),u_sb(:))); fprintf('%s %f \n', 'RMSE error for SB-TV is:', rmse_sb); figure; imshow(u_sb(:,:,7), [0 1]); title('SB-TV denoised volume (CPU)'); %% % fprintf('Denoise a volume using the SB-TV model (GPU) \n'); % iter_sb = 150; % number of SB iterations % epsil_tol = 0.0; % tolerance % tic; u_sbG = SB_TV_GPU(single(vol3D), lambda_reg, iter_sb, epsil_tol); toc; % rmse_sbG = (RMSE(Ideal3D(:),u_sbG(:))); % fprintf('%s %f \n', 'RMSE error for SB-TV is:', rmse_sbG); % figure; imshow(u_sbG(:,:,7), [0 1]); title('SB-TV denoised volume (GPU)'); %% fprintf('Denoise a volume using the ROF-LLT model (CPU) \n'); lambda_ROF = lambda_reg; % ROF regularisation parameter lambda_LLT = lambda_reg*0.35; % LLT regularisation parameter iter_LLT = 300; % iterations tau_rof_llt = 0.0025; % time-marching constant epsil_tol = 0.0; % tolerance tic; [u_rof_llt, infovec] = LLT_ROF(single(vol3D), lambda_ROF, lambda_LLT, iter_LLT, tau_rof_llt, epsil_tol); toc; rmse_rof_llt = (RMSE(Ideal3D(:),u_rof_llt(:))); fprintf('%s %f \n', 'RMSE error for ROF-LLT is:', rmse_rof_llt); figure; imshow(u_rof_llt(:,:,7), [0 1]); title('ROF-LLT denoised volume (CPU)'); %% % fprintf('Denoise a volume using the ROF-LLT model (GPU) \n'); % lambda_ROF = lambda_reg; % ROF regularisation parameter % lambda_LLT = lambda_reg*0.35; % LLT regularisation parameter % iter_LLT = 300; % iterations % tau_rof_llt = 0.0025; % time-marching constant % epsil_tol = 0.0; % tolerance % tic; u_rof_llt_g = LLT_ROF_GPU(single(vol3D), lambda_ROF, lambda_LLT, iter_LLT, tau_rof_llt, epsil_tol); toc; % rmse_rof_llt = (RMSE(Ideal3D(:),u_rof_llt_g(:))); % fprintf('%s %f \n', 'RMSE error for ROF-LLT is:', rmse_rof_llt); % figure; imshow(u_rof_llt_g(:,:,7), [0 1]); title('ROF-LLT denoised volume (GPU)'); %% fprintf('Denoise a volume using Nonlinear-Diffusion model (CPU) \n'); iter_diff = 300; % 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 epsil_tol = 0.0; % tolerance tic; [u_diff, infovec] = NonlDiff(single(vol3D), lambda_regDiff, sigmaPar, iter_diff, tau_param, 'Huber', epsil_tol); toc; rmse_diff = (RMSE(Ideal3D(:),u_diff(:))); fprintf('%s %f \n', 'RMSE error for Diffusion is:', rmse_diff); figure; imshow(u_diff(:,:,7), [0 1]); title('Diffusion denoised volume (CPU)'); %% % fprintf('Denoise a volume using Nonlinear-Diffusion model (GPU) \n'); % iter_diff = 300; % 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(vol3D), lambda_regDiff, sigmaPar, iter_diff, tau_param, 'Huber', epsil_tol); toc; % rmse_diff = (RMSE(Ideal3D(:),u_diff_g(:))); % fprintf('%s %f \n', 'RMSE error for Diffusion is:', rmse_diff); % figure; imshow(u_diff_g(:,:,7), [0 1]); title('Diffusion denoised volume (GPU)'); %% fprintf('Denoise using Fourth-order anisotropic diffusion model (CPU) \n'); iter_diff = 300; % 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 epsil_tol = 0.0; % tolerance tic; u_diff4 = Diffusion_4thO(single(vol3D), lambda_regDiff, sigmaPar, iter_diff, tau_param, epsil_tol); toc; rmse_diff4 = (RMSE(Ideal3D(:),u_diff4(:))); fprintf('%s %f \n', 'RMSE error for Anis.Diff of 4th order is:', rmse_diff4); figure; imshow(u_diff4(:,:,7), [0 1]); title('Diffusion 4thO denoised volume (CPU)'); %% % fprintf('Denoise using Fourth-order anisotropic diffusion model (GPU) \n'); % iter_diff = 300; % 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(vol3D), lambda_regDiff, sigmaPar, iter_diff, tau_param, epsil_tol); toc; % rmse_diff4 = (RMSE(Ideal3D(:),u_diff4_g(:))); % fprintf('%s %f \n', 'RMSE error for Anis.Diff of 4th order is:', rmse_diff4); % figure; imshow(u_diff4_g(:,:,7), [0 1]); title('Diffusion 4thO denoised volume (GPU)'); %% fprintf('Denoise using the TGV model (CPU) \n'); lambda_TGV = 0.03; % regularisation parameter alpha1 = 1.0; % parameter to control the first-order term alpha0 = 2.0; % parameter to control the second-order term L2 = 12.0; % convergence parameter iter_TGV = 500; % number of Primal-Dual iterations for TGV epsil_tol = 0.0; % tolerance tic; u_tgv = TGV(single(vol3D), lambda_TGV, alpha1, alpha0, iter_TGV, L2, epsil_tol); toc; rmseTGV = RMSE(Ideal3D(:),u_tgv(:)); fprintf('%s %f \n', 'RMSE error for TGV is:', rmseTGV); figure; imshow(u_tgv(:,:,3), [0 1]); title('TGV denoised volume (CPU)'); %% % fprintf('Denoise using the TGV model (GPU) \n'); % lambda_TGV = 0.03; % regularisation parameter % alpha1 = 1.0; % parameter to control the first-order term % alpha0 = 2.0; % parameter to control the second-order term % iter_TGV = 500; % number of Primal-Dual iterations for TGV % tic; u_tgv_gpu = TGV_GPU(single(vol3D), lambda_TGV, alpha1, alpha0, iter_TGV, L2, epsil_tol); toc; % rmseTGV = RMSE(Ideal3D(:),u_tgv_gpu(:)); % fprintf('%s %f \n', 'RMSE error for TGV is:', rmseTGV); % figure; imshow(u_tgv_gpu(:,:,3), [0 1]); title('TGV denoised volume (GPU)'); %% %>>>>>>>>>>>>>> MULTI-CHANNEL priors <<<<<<<<<<<<<<< % fprintf('Denoise a volume using the FGP-dTV model (CPU) \n'); % create another volume (reference) with slightly less amount of noise vol3D_ref = zeros(N,N,slices, 'single'); for i = 1:slices vol3D_ref(:,:,i) = Im + .01*randn(size(Im)); end vol3D_ref(vol3D_ref < 0) = 0; % vol3D_ref = zeros(size(Im),'single'); % pass zero reference (dTV -> TV) iter_fgp = 300; % number of FGP iterations epsil_tol = 0.0; % tolerance eta = 0.2; % Reference image gradient smoothing constant tic; u_fgp_dtv = FGP_dTV(single(vol3D), single(vol3D_ref), lambda_reg, iter_fgp, epsil_tol, eta); toc; figure; imshow(u_fgp_dtv(:,:,7), [0 1]); title('FGP-dTV denoised volume (CPU)'); %% fprintf('Denoise a volume using the FGP-dTV model (GPU) \n'); % create another volume (reference) with slightly less amount of noise vol3D_ref = zeros(N,N,slices, 'single'); for i = 1:slices vol3D_ref(:,:,i) = Im + .01*randn(size(Im)); end vol3D_ref(vol3D_ref < 0) = 0; % vol3D_ref = zeros(size(Im),'single'); % pass zero reference (dTV -> TV) iter_fgp = 300; % number of FGP iterations epsil_tol = 0.0; % tolerance eta = 0.2; % Reference image gradient smoothing constant tic; u_fgp_dtv_g = FGP_dTV_GPU(single(vol3D), single(vol3D_ref), lambda_reg, iter_fgp, epsil_tol, eta); toc; figure; imshow(u_fgp_dtv_g(:,:,7), [0 1]); title('FGP-dTV denoised volume (GPU)'); %%