Optimal sampling lattices for high-fidelity CT reconstruction

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 find that BCC lattices compare favorably with CC lattices for both CT data acquisition and reconstruction. For example they increase the recovery and detectability of small features, such as small tumors in the brain.