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The importance of performing exact image reconstruction from the minimum amount of data has been recognized for a longtime. Yangbo Ye et al. has proved that the interior problem can be exactly and stably solved if a subregion in an ROI/VOI in the FOV is known from fan-beam/cone-beam projection datasets using the analytic continuation technique. But the analytic continuation is a very ill-posed question...
Total variation (TV) minimization algorithm is widely used for solving incomplete data problems in computer tomography. Based on the POCS-TV method, we propose a new scheme of TV minimization algorithm, B-POCS-TV-β, which is similar to the Bregman iteration in the sense of “adding the residual back”. Numerical simulations are implemented with few-view and limited-angle problems. We compare the reconstruction...
When there are objects moving during CT acquisition process and each object has independently rigid motion which includes translation and rotation, the reconstruction will suffer from perceptible motion artifacts. To suppress such artifacts, one way is to implement motion estimation into reconstruction algorithms. In this paper, we give a new forward projection iterative method. With a priori knowledge...
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