A primal dual proximal point method of Chambolle-Pock algorithm for total variation image reconstruction

Total variation (TV) minimization problems are widely used for solving incomplete data problems in computed tomography (CT) image reconstruction. The present paper investigates a primal dual proximal point method of Chambolle-Pock algorithm to solve the CT image reconstruction problem which consisting the sum of l₂ data fidelity term and TV regularization term. We tested these methods on computer simulated data, and they exhibited good performance when used to few-view and limited-angle CT image reconstruction.