An FPGA-Based Fan Beam Image Reconstruction Module

1 Introduction Filtered Back-Projection (FBP) is a well-known algorithm for reconstruction of tomographic images from projections [1-3]. Some of FBP's highlights are: (i) allows agile software implementations , and; (ii) production of images of good quality, i. e., relatively free of artifacts. Our goal is to reconstruct images from fan beam projections collected by detectors set in a linear array. Figure 1 presents a simplified geometry of the data acquisition system. A projection can be seen as a set of line integrals from a x-ray source up to the detectors. Other projections are collected after successive rotations of the source-detector system over the subject by an step angle ∆θ = 2π/(Ν − 1), where N is the number of projections .