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Iterative reconstruction (IR) has recently been proposed to improve multiple aspects of image quality over conventional filtered backprojection (FBP) in X-ray computed tomography (CT). FBP reconstruction and its corresponding reconstruction kernels have been optimized for decades to provide the best possible image quality. IR does not have the notion of reconstruction kernels but uses other mechanisms...
Iterative reconstruction shows potential for noise reduction and resolution improvements in X-ray CT. The forward projection operator is a key modeling choice in every iterative reconstruction method. The operator may be expressed in terms of the basis functions corresponding to a continuous representation of the image space. In this paper, we study three system models describing the mapping from...
Iterative reconstruction (IR) methods show promise for image quality improvements in helical X-ray CT. Coordinate descent methods have good convergence properties for these problems, but include a one-dimensional, nonlinear optimization for each voxel's update. This paper presents two methods for speeding computation by replacing the 1D line search with one-step updates. Both methods greatly reduce...
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