Comparison between an image reconstruction method of filtering backprojection and the filtered backprojection method

Abstract

An image reconstruction method of filtering backprojection is compared with the filtered backprojection method for cases with and without Poisson (signal-dependent) noise in the projection data. The case with noise is especially interesting since the result reveals the noise sensitivity of the two methods. The former method filters in the spatial frequency domain, whereas the latter method works in the space domain. The computer experiment shows that the two methods produce nearly the same qualitative results for both cases and are approximately equal in noise sensitivity.