Research Article
Compressed Sensing Inspired Image Reconstruction from Overlapped Projections
Algorithm 2
Image Reconstruction from overlapped projections (IROP).
Initialization: | ; | A good initial guess, such as a blurry image from a low-resolution CT scan; | ; | ; | A number of the system linearization steps; | A number of the POCS-gradient or SART-gradient iterations for each | linear approximation; | A number of the gradient descent search steps; | A step size for the gradient descent search, say 0.2; | Obtain projection data using Algorithm 1 or from a real scan; | Reconstruction: | Linearization updating loop for (or until ) | Compute ; | POCS-gradient (or SART-gradient) reconstruction loop for | For | Project onto the constraint equation: | | End | For | Compute the TV with respect to ; | Perform the gradient descent search; | End | End | Update the current guess | End |
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