Frequency domain algebraic image reconstruction technique

We propose an algebraic reconstruction technique (ART) in the frequency domain for linear imaging problems. This algorithm has the advantage of efficiently incorporating pixel correlations in an a priori image model. First it is shown that the generalized ART algorithm converges to the minimum weighted norm solution. Then an implementation in the frequency domain is described. The performance of the new algorithm is demonstrated with a fan beam computed tomography (CT) example. Compared to the traditional ART and its major improvement SART, the new algorithm offers superior image quality, fast convergence and potential application to other modalities.