A new reconstruction methodology for computerized tomography: FRECT (Fourier regularized computed tomography)

Presents a new regularization method for tomography, which combines features from the filtered backprojection algorithm and regularization theory. The preliminary results shown here are extremely encouraging, and seem to indicate that a substantial improvement of the stability of the reconstruction and of quality of the image can be expected. The authors learn from the Fourier Slice theorem that constraints obtained from the measurements can be read off the Fourier domain. The regularization constraints should act beyond the experimental area, so as to avoid conflicts between these two types of constraints. In addition, such regularization constraints can clearly be interpreted in terms of filtering or Point Spread Function, which makes the reconstructed images more legible. In order to account for the full complexity of the physical relationship between the distribution of interest and the data acquired by the camera, more refined models of the acquisition system and the underlying physical processes should be produced and tested. This is currently under study, and will form the subject of further publications.