% Demonstration of tomographic reconstruction from neutron tomography % dataset (basalt sample) using Student t data fidelity clear all close all % adding paths addpath('../data/'); addpath('../main_func/'); addpath('../supp/'); load('sino_basalt.mat') % load real neutron data size_det = size(sino_basalt, 1); % detector size angSize = size(sino_basalt,2); % angles dim recon_size = 650; % reconstruction size FBP = iradon(sino_basalt, rad2deg(angles),recon_size); figure; imshow(FBP , [0, 0.45]); title ('FBP reconstruction'); %% % set projection/reconstruction geometry here Z_slices = 1; det_row_count = Z_slices; proj_geom = astra_create_proj_geom('parallel3d', 1, 1, det_row_count, size_det, angles); vol_geom = astra_create_vol_geom(recon_size,recon_size,Z_slices); %% fprintf('%s\n', 'Reconstruction using FISTA-LS without regularization...'); clear params params.proj_geom = proj_geom; % pass geometry to the function params.vol_geom = vol_geom; params.sino = sino_basalt; params.iterFISTA = 50; params.show = 0; params.maxvalplot = 0.6; params.slice = 1; tic; [X_fista] = FISTA_REC(params); toc; figure; imshow(X_fista , [0, 0.45]); title ('FISTA-LS reconstruction'); %% fprintf('%s\n', 'Reconstruction using FISTA-LS-TV...'); clear params params.proj_geom = proj_geom; % pass geometry to the function params.vol_geom = vol_geom; params.sino = sino_basalt; params.iterFISTA = 60; params.Regul_LambdaTV = 0.0003; % TV regularization parameter params.show = 0; params.maxvalplot = 0.6; params.slice = 1; tic; [X_fista_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_TV , [0, 0.45]); title ('FISTA-LS-TV reconstruction'); %% %% fprintf('%s\n', 'Reconstruction using FISTA-GH-TV...'); clear params params.proj_geom = proj_geom; % pass geometry to the function params.vol_geom = vol_geom; params.sino = sino_basalt; params.iterFISTA = 60; params.Regul_LambdaTV = 0.0003; % TV regularization parameter params.Ring_LambdaR_L1 = 0.001; % Soft-Thresh L1 ring variable parameter params.Ring_Alpha = 20; % acceleration for ring variable params.show = 0; params.maxvalplot = 0.6; params.slice = 1; tic; [X_fista_GH_TV] = FISTA_REC(params); toc; figure; imshow(X_fista_GH_TV , [0, 0.45]); title ('FISTA-GH-TV reconstruction'); %% %% fprintf('%s\n', 'Reconstruction using FISTA-Student-TV...'); clear params params.proj_geom = proj_geom; % pass geometry to the function params.vol_geom = vol_geom; params.sino = sino_basalt; params.iterFISTA = 50; params.L_const = 3500; % Lipshitz constant params.Regul_LambdaTV = 0.0003; % TV regularization parameter params.fidelity = 'student'; % choosing Student t penalty params.show = 1; params.initialize = 1; % warm start with SIRT params.maxvalplot = 0.6; params.slice = 1; tic; [X_fistaStudentTV] = FISTA_REC(params); toc; figure; imshow(X_fistaStudentTV , [0, 0.45]); title ('FISTA-Student-TV reconstruction'); %% fprintf('%s\n', 'Segmentation using OTSU method ...'); level = graythresh(X_fista); Segm_FISTA = im2bw(X_fista,level); figure; imshow(Segm_FISTA, []); title ('Segmented FISTA-LS reconstruction'); level = graythresh(X_fista_TV); Segm_FISTA_TV = im2bw(X_fista_TV,level); figure; imshow(Segm_FISTA_TV, []); title ('Segmented FISTA-LS-TV reconstruction'); level = graythresh(X_fista_GH_TV); BW_FISTA_GH_TV = im2bw(X_fista_GH_TV,level); figure; imshow(BW_FISTA_GH_TV, []); title ('Segmented FISTA-GH-TV reconstruction'); level = graythresh(X_fistaStudentTV); BW_FISTA_Student_TV = im2bw(X_fistaStudentTV,level); figure; imshow(BW_FISTA_Student_TV, []); title ('Segmented FISTA-Student-LS reconstruction');