% Demonstration of tomographic 3D reconstruction from X-ray synchrotron % dataset (dendrites) using various data fidelities % clear all % close all % % % adding paths addpath('data/'); addpath('main_func/'); addpath('supp/'); load('sino3D_dendrites.mat') % load 3D normalized sinogram angles_rad = angles*(pi/180); % conversion to radians angSize = size(Sino3D,1); % angles dim size_det = size(Sino3D, 2); % detector size recon_size = 850; % reconstruction size FBP = iradon(Sino3D(:,:,10)', angles,recon_size); figure; imshow(FBP , [0, 3]); title ('FBP reconstruction'); %% fprintf('%s\n', 'Reconstruction using FISTA-LS without regularization...'); clear params params.sino = Sino3D; params.N = recon_size; params.angles = angles_rad; params.iterFISTA = 80; params.precondition = 1; % switch on preconditioning params.show = 0; params.maxvalplot = 2.5; params.slice = 10; tic; [X_fista] = FISTA_REC(params); toc; figure; imshow(X_fista(:,:,10) , [0, 2.5]); title ('FISTA-LS reconstruction'); %% fprintf('%s\n', 'Reconstruction using FISTA-LS-TV...'); clear params params.sino = Sino3D; params.N = recon_size; params.angles = angles_rad; params.iterFISTA = 100; params.lambdaTV = 0.001; % TV regularization parameter for FISTA-TV params.tol = 1.0e-04; params.iterTV = 20; params.precondition = 1; % switch on preconditioning params.show = 0; params.maxvalplot = 2.5; params.slice = 10; tic; [X_fista_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_TV(:,:,10) , [0, 2.5]); title ('FISTA-LS-TV reconstruction'); %% %% fprintf('%s\n', 'Reconstruction using FISTA-GH-TV...'); clear params params.sino = Sino3D; params.N = recon_size; params.angles = angles_rad; params.iterFISTA = 100; params.lambdaTV = 0.001; % TV regularization parameter for FISTA-TV params.tol = 1.0e-04; params.iterTV = 20; params.lambdaR_L1 = 0.001; % Soft-Thresh L1 ring variable parameter params.alpha_ring = 20; % to boost ring removal procedure params.precondition = 1; % switch on preconditioning params.show = 0; params.maxvalplot = 2.5; params.slice = 10; tic; [X_fista_GH_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_GH_TV(:,:,10) , [0, 2.5]); title ('FISTA-GH-TV reconstruction'); %% %% fprintf('%s\n', 'Reconstruction using FISTA-GH-TV-LLT...'); clear params params.sino = Sino3D; params.N = recon_size; params.angles = angles_rad; params.iterFISTA = 100; params.lambdaTV = 0.001; % TV regularization parameter for FISTA-TV params.tol = 1.0e-04; params.iterTV = 20; params.lambdaHO = 35; % regularization parameter for LLT problem params.tauHO = 0.00011; % time-step parameter for explicit scheme params.iterHO = 70; % the max number of TV iterations params.lambdaR_L1 = 0.001; % Soft-Thresh L1 ring variable parameter params.alpha_ring = 20; % to boost ring removal procedure params.precondition = 1; % switch on preconditioning params.show = 0; params.maxvalplot = 2.5; params.slice = 10; tic; [X_fista_GH_TVLLT] = FISTA_REC(params); toc; figure; imshow(X_fista_GH_TVLLT(:,:,10) , [0, 2.5]); title ('FISTA-GH-TV-LLT reconstruction'); %% %% % fprintf('%s\n', 'Reconstruction using FISTA-Student-TV...'); % %%%%<<<< Not stable with this dataset! Requires more work >>>> %%%%% % clear params % params.sino = Sino3D(:,:,15); % params.N = 950; % params.angles = angles_rad; % params.iterFISTA = 150; % params.L_const = 30; % Lipshitz constant % params.lambdaTV = 0.009; % TV regularization parameter for FISTA-TV % params.tol = 1.0e-04; % params.iterTV = 20; % params.fidelity = 'student'; % choosing Student t penalty % % params.precondition = 1; % switch on preconditioning % params.show = 1; % params.maxvalplot = 2.5; params.slice = 1; % % tic; [X_fistaStudentTV] = FISTA_REC(params); toc; % figure; imshow(X_fistaStudentTV , [0, 2.5]); title ('FISTA-Student-TV reconstruction'); %% slice = 10; % if 3D reconstruction fprintf('%s\n', 'Segmentation using OTSU method ...'); level = graythresh(X_fista(:,:,slice)); Segm_FISTA = im2bw(X_fista(:,:,slice),level); figure; imshow(Segm_FISTA, []); title ('Segmented FISTA-LS reconstruction'); level = graythresh(X_fista_TV(:,:,slice)); Segm_FISTA_TV = im2bw(X_fista_TV(:,:,slice),level); figure; imshow(Segm_FISTA_TV, []); title ('Segmented FISTA-LS-TV reconstruction'); level = graythresh(X_fista_GH_TV(:,:,slice)); BW_FISTA_GH_TV = im2bw(X_fista_GH_TV(:,:,slice),level); figure; imshow(BW_FISTA_GH_TV, []); title ('Segmented FISTA-GH-TV reconstruction'); level = graythresh(X_fista_GH_TVLLT(:,:,slice)); BW_FISTA_GH_TVLLT = im2bw(X_fista_GH_TVLLT(:,:,slice),level); figure; imshow(BW_FISTA_GH_TVLLT, []); title ('Segmented FISTA-GH-TV-LLT reconstruction'); %%