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author | algol <dkazanc@hotmail.com> | 2017-07-05 22:15:00 +0100 |
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committer | algol <dkazanc@hotmail.com> | 2017-07-05 22:15:00 +0100 |
commit | 29636540aca6354b0f319765b0af9bf768593565 (patch) | |
tree | 0aec2989e9735a95f96f2fe6d76c4bc6bb7d0b43 | |
parent | 3fc35fbbc2718061138b022437d1aa9859178aac (diff) | |
download | regularization-29636540aca6354b0f319765b0af9bf768593565.tar.gz regularization-29636540aca6354b0f319765b0af9bf768593565.tar.bz2 regularization-29636540aca6354b0f319765b0af9bf768593565.tar.xz regularization-29636540aca6354b0f319765b0af9bf768593565.zip |
ring removal bug fixed
-rw-r--r-- | demos/DemoRD2.m | 6 | ||||
-rw-r--r-- | main_func/FISTA_REC.m | 157 |
2 files changed, 80 insertions, 83 deletions
diff --git a/demos/DemoRD2.m b/demos/DemoRD2.m index b991e70..0f829a8 100644 --- a/demos/DemoRD2.m +++ b/demos/DemoRD2.m @@ -63,7 +63,7 @@ params.L_const = 7.6789e+08; params.Regul_Lambda_FGPTV = 0.005; % TV regularization parameter for FGP-TV params.weights = Weights3D; params.show = 1; -params.maxvalplot = 2.5; params.slice = 10; +params.maxvalplot = 2.5; params.slice = 4; tic; [X_fista_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_TV(:,:,1) , [0, 2.5]); title ('FISTA-PWLS-TV reconstruction'); @@ -81,7 +81,7 @@ params.Ring_LambdaR_L1 = 0.002; % Soft-Thresh L1 ring variable parameter params.Ring_Alpha = 21; % to boost ring removal procedure params.weights = Weights3D; params.show = 1; -params.maxvalplot = 2.5; params.slice = 10; +params.maxvalplot = 2.5; params.slice = 4; tic; [X_fista_GH_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_GH_TV(:,:,1) , [0, 2.5]); title ('FISTA-GH-TV reconstruction'); @@ -94,7 +94,7 @@ params.vol_geom = vol_geom; params.sino = Sino3D; params.iterFISTA = 40; params.Regul_Lambda_FGPTV = 0.005; % TV regularization parameter for FGP-TV -params.Regul_LambdaHO = 200; % regularization parameter for LLT problem +params.Regul_LambdaHO = 250; % regularization parameter for LLT problem params.Regul_tauLLT = 0.0005; % time-step parameter for the explicit scheme params.Ring_LambdaR_L1 = 0.002; % Soft-Thresh L1 ring variable parameter params.Ring_Alpha = 21; % to boost ring removal procedure diff --git a/main_func/FISTA_REC.m b/main_func/FISTA_REC.m index fcd19d8..db2b581 100644 --- a/main_func/FISTA_REC.m +++ b/main_func/FISTA_REC.m @@ -152,11 +152,6 @@ if (isfield(params,'Ring_Alpha')) else alpha_ring = 1; end -if (isfield(params,'fidelity')) - fidelity = params.fidelity; -else - fidelity = 'LS'; -end if (isfield(params,'show')) show = params.show; else @@ -173,7 +168,7 @@ else slice = 1; end if (isfield(params,'initialize')) - % a 'warm start' with SIRT method + % a 'warm start' with SIRT method % Create a data object for the reconstruction rec_id = astra_mex_data3d('create', '-vol', vol_geom); @@ -203,91 +198,93 @@ end Resid_error = zeros(iterFISTA,1); % error vector objective = zeros(iterFISTA,1); % obhective vector - t = 1; - X_t = X; +t = 1; +X_t = X; + +% add_ring = zeros(size(sino),'single'); % size of sinogram array +r = zeros(Detectors,SlicesZ, 'single'); % 2D array (for 3D data) of sparse "ring" vectors +r_x = r; % another ring variable +residual = zeros(size(sino),'single'); + +% Outer iterations loop +for i = 1:iterFISTA - % add_ring = zeros(size(sino),'single'); % size of sinogram array - r = zeros(Detectors,SlicesZ, 'single'); % 2D array (for 3D data) of sparse "ring" vectors - r_x = r; % another ring variable + X_old = X; + t_old = t; + r_old = r; + [sino_id, sino_updt] = astra_create_sino3d_cuda(X_t, proj_geom, vol_geom); - % Outer iterations loop - for i = 1:iterFISTA - - X_old = X; - t_old = t; - r_old = r; - - [sino_id, sino_updt] = astra_create_sino3d_cuda(X_t, proj_geom, vol_geom); - - if (lambdaR_L1 > 1) + if (lambdaR_L1 > 0) % add ring removal part (Group-Huber fidelity) - for kkk = 1:anglesNumb + for kkk = 1:anglesNumb % add_ring(:,kkk,:) = squeeze(sino(:,kkk,:)) - alpha_ring.*r_x; - residual(:,kkk,:) = weights(:,kkk,:).*(sino_updt(:,kkk,:) - (squeeze(sino(:,kkk,:)) - alpha_ring.*r_x)); - end - - vec = sum(residual,2); - if (SlicesZ > 1) - vec = squeeze(vec(:,1,:)); - end - r = r_x - (1./L_const).*vec; - else - % no ring removal - residual = weights.*(sino_updt - sino); - end - % residual = weights.*(sino_updt - add_ring); - - [id, x_temp] = astra_create_backprojection3d_cuda(residual, proj_geom, vol_geom); - - X = X_t - (1/L_const).*x_temp; - astra_mex_data3d('delete', sino_id); - astra_mex_data3d('delete', id); - - if (lambdaFGP_TV > 0) - % FGP-TV regularization - [X, f_val] = FGP_TV(single(X), lambdaFGP_TV, IterationsRegul, tol, 'iso'); - objective(i) = 0.5.*norm(residual(:))^2 + f_val; - elseif (lambdaSB_TV > 0) - % Split Bregman regularization - X = SplitBregman_TV(single(X), lambdaSB_TV, IterationsRegul, tol); % (more memory efficent) - objective(i) = 0.5.*norm(residual(:))^2; - elseif (lambdaL1 > 0) - % L1 soft-threhsolding regularization - X = max(abs(X)-lambdaL1, 0).*sign(X); - objective(i) = 0.5.*norm(residual(:))^2; - elseif (lambdaHO > 0) - % Higher Order (LLT) regularization - X2 = LLT_model(single(X), lambdaHO, tauHO, IterationsRegul, 3.0e-05, 0); - X = 0.5.*(X + X2); % averaged combination of two solutions - objective(i) = 0.5.*norm(residual(:))^2; + residual(:,kkk,:) = squeeze(weights(:,kkk,:)).*(squeeze(sino_updt(:,kkk,:)) - (squeeze(sino(:,kkk,:)) - alpha_ring.*r_x)); end - if (lambdaR_L1 > 1) - r = max(abs(r)-lambdaR_L1, 0).*sign(r); % soft-thresholding operator + vec = sum(residual,2); + if (SlicesZ > 1) + vec = squeeze(vec(:,1,:)); end - - t = (1 + sqrt(1 + 4*t^2))/2; % updating t - X_t = X + ((t_old-1)/t).*(X - X_old); % updating X - - if (lambdaR_L1 > 1) + r = r_x - (1./L_const).*vec; + else + % no ring removal + residual = weights.*(sino_updt - sino); + end + % residual = weights.*(sino_updt - add_ring); + + [id, x_temp] = astra_create_backprojection3d_cuda(residual, proj_geom, vol_geom); + + X = X_t - (1/L_const).*x_temp; + astra_mex_data3d('delete', sino_id); + astra_mex_data3d('delete', id); + + if (lambdaFGP_TV > 0) + % FGP-TV regularization + [X, f_val] = FGP_TV(single(X), lambdaFGP_TV, IterationsRegul, tol, 'iso'); + objective(i) = 0.5.*norm(residual(:))^2 + f_val; + end + if (lambdaSB_TV > 0) + % Split Bregman regularization + X = SplitBregman_TV(single(X), lambdaSB_TV, IterationsRegul, tol); % (more memory efficent) + objective(i) = 0.5.*norm(residual(:))^2; + end + if (lambdaL1 > 0) + % L1 soft-threhsolding regularization + X = max(abs(X)-lambdaL1, 0).*sign(X); + objective(i) = 0.5.*norm(residual(:))^2; + end + if (lambdaHO > 0) + % Higher Order (LLT) regularization + X2 = LLT_model(single(X), lambdaHO, tauHO, iterHO, 3.0e-05, 0); + X = 0.5.*(X + X2); % averaged combination of two solutions + objective(i) = 0.5.*norm(residual(:))^2; + end + + if (lambdaR_L1 > 0) + r = max(abs(r)-lambdaR_L1, 0).*sign(r); % soft-thresholding operator + end + + t = (1 + sqrt(1 + 4*t^2))/2; % updating t + X_t = X + ((t_old-1)/t).*(X - X_old); % updating X + + if (lambdaR_L1 > 0) r_x = r + ((t_old-1)/t).*(r - r_old); % updating r - end - - if (show == 1) - figure(10); imshow(X(:,:,slice), [0 maxvalplot]); - if (lambdaR_L1 > 1) + end + + if (show == 1) + figure(10); imshow(X(:,:,slice), [0 maxvalplot]); + if (lambdaR_L1 > 0) figure(11); plot(r); title('Rings offset vector') - end - pause(0.01); end - if (strcmp(X_ideal, 'none' ) == 0) - Resid_error(i) = RMSE(X(ROI), X_ideal(ROI)); - fprintf('%s %i %s %s %.4f %s %s %.4f \n', 'Iteration Number:', i, '|', 'Error RMSE:', Resid_error(i), '|', 'Objective:', objective(i)); - else - fprintf('%s %i %s %s %.4f \n', 'Iteration Number:', i, '|', 'Objective:', objective(i)); - end - end + pause(0.01); + end + if (strcmp(X_ideal, 'none' ) == 0) + Resid_error(i) = RMSE(X(ROI), X_ideal(ROI)); + fprintf('%s %i %s %s %.4f %s %s %.4f \n', 'Iteration Number:', i, '|', 'Error RMSE:', Resid_error(i), '|', 'Objective:', objective(i)); + else + fprintf('%s %i %s %s %.4f \n', 'Iteration Number:', i, '|', 'Objective:', objective(i)); + end end output.Resid_error = Resid_error; output.objective = objective; |