A novel two-step method for CT reconstruction

Abstract

In this paper we address the parallel beam 2D computer tomography reconstruction. The proposed method belongs to the field of analytic reconstruction methods and is compared to several methods known in the field, among other the two-step Hilbert-transform method. In contrast to the latter, the derivative data is multiplied with an orientation vector and the Hilbert transform is replaced with the Riesz transform. Experimental results show that the new method is superior to established ones concerning aliasing, noise, and DC errors.