Image Reconstruction

–An efficient way to perform Radon backprojection is to do it in two steps and each step is a series of 2D backprojections.

–For the ray transform data, we require that Orlov’s data sufficiency condition be satisfied. The ray directions trace a trajectory on the unit sphere. If every great circle intersects this trajectory, Orlov’s condition is met.

–The image reconstruction algorithm for the ray transform depends on the ray direction trajectory. Due to data redundancy, the reconstruction algorithm is not unique. One can either do filtering first or backprojection first.

–Feldkamp et al. developed a simple and robust FBP algorithm for cone-beam circular orbit imaging. Even though this algorithm is a modification of a fan-beam’s FBP algorithm ...