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Diffstat (limited to 'samples/matlab/s017_opTomo.m')
-rw-r--r-- | samples/matlab/s017_opTomo.m | 44 |
1 files changed, 44 insertions, 0 deletions
diff --git a/samples/matlab/s017_opTomo.m b/samples/matlab/s017_opTomo.m new file mode 100644 index 0000000..4886cc5 --- /dev/null +++ b/samples/matlab/s017_opTomo.m @@ -0,0 +1,44 @@ +% load a phantom image +im = phantom(256); +% and flatten it to a vector +x = im(:); + +%% Setting up the geometry +% projection geometry +proj_geom = astra_create_proj_geom('parallel', 1, 256, linspace2(0,pi,180)); +% object dimensions +vol_geom = astra_create_vol_geom(256,256); + +%% Generate projection data +% Create the Spot operator for ASTRA using the GPU. +W = opTomo('cuda', proj_geom, vol_geom); + +p = W*x; + +% reshape the vector into a sinogram +sinogram = reshape(p, W.proj_size); +imshow(sinogram, []); + + +%% Reconstruction +% We use a least squares solver lsqr from Matlab to solve the +% equation W*x = p. +% Max number of iterations is 100, convergence tolerance of 1e-6. +y = lsqr(W, p, 1e-6, 100); + +% the output is a vector, so we reshape it into an image +reconstruction = reshape(y, W.vol_size); + +subplot(1,3,1); +imshow(reconstruction, []); +title('Reconstruction'); + +subplot(1,3,2); +imshow(im, []); +title('Ground truth'); + +% The transpose of the operator corresponds to the backprojection. +backProjection = W'*p; +subplot(1,3,3); +imshow(reshape(backProjection, W.vol_size), []); +title('Backprojection'); |