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Expectation Maximization (EM) and the Simultaneous Iterative Reconstruction Technique (SIRT) are two iterative computed tomography reconstruction algorithms often used when the data contain a high amount of statistical noise, have been acquired from a limited angular range, or have a limited number of views. A popular mechanism to increase the rate of convergence of these types of algorithms has been...
We show that the familiar Cartesian lattice, while convenient for signal processing and representation, is suboptimal when it comes to signal fidelity. We explore various applications of optimal sampling lattices, such as the Hexagonal and Body Centered Cartesian (BCC) lattices for 3D Computed Tomographic (CT) Reconstruction, both in terms of the (2D) detector and the (3D) reconstructed object. We...
We compare various popular methods available for projection and backprojection in CT. Assuming linear rays and a simple density integration along them, we consider both line- and area-based methods. Here, two key components govern the quality of a projection result, given the discrete nature of the data and reconstruction result: interpolation and integration. Both of these are studied here. In order...
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