Extended Continuous-Time Image Reconstruction System for Binary and Continuous Tomography

Abstract

For solving inverse problems in computed tomography (CT), we have presented a continuous-time image reconstruction (CIR) system described by a switched nonlinear dynamical system with a piecewise smooth vector field. Recently, we have also proposed an extended CIR (ECIR) system with a modification of the nonlinear vector field, for the purpose of solving inverse problems in binary tomography, which is the process of reconstructing a binary image from a finite number of projections. In this study, we show, by means of numerical experiments, that the ECIR system is effective not only for binary tomography, but also for continuous tomography, such that the maximum pixel value to be reconstructed is previously given. For projection data with insufficient views, we found that the ECIR system exhibited a better convergence performance than the maximum-likelihood expectation-maximization method.