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We present herein a level set approach to the X-ray tomography problem with sparse projection data and study the impact of the projection operator on the binary reconstruction accuracy and computation time. The comparison is carried out on three projectors: the Separable Footprint (Trapeze-Trapeze, SF-TT) [3], a classical Ray-driven (RD) and a Simplified version of the Distance-Driven (SDD) projector...
A novel image registration method is presented for multi-modality, gated cardiac imaging. The motion of the myocardium is registered instead of attributes obtained from image intensities, which may be drastically different. Optical flow methods are used to estimate a set of 3D vector fields for both modalities. The 3D vector fields are assumed to be similar and are rigidly aligned by minimizing a...
We address the image formation of a dynamic object from projections by formulating it as a state estimation problem. The problem is solved with the ensemble Kalman filter (EnKF), a Monte Carlo algorithm that is computationally tractable when the state dimension is large. In this paper, we first rigorously address the convergence of the EnKF. Then, the effectiveness of the EnKF is demonstrated in a...
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