3D image reconstruction using Radon transform

Computed tomography as well as magnetic resonance or positron electron tomography is currently the most commonly used medical imaging modalities for the analysis of human body complex structures and organs, where diseases must be recognized and identified. The image reconstruction process used in these tomography techniques is usually based on the Radon transform (RT). In this paper, an algorithm based on Markov chain Monte Carlo methods for reconstruction of 2D–3D structures is introduced, including correction of noise directly from the RT sinograms. The 3D reconstruction is independent by the instrumental technique and can be applied to any RT-based medical imaging technologies.