Abstract

Total variation (TV) minimization algorithm is widely used for solving incomplete data problems in computer tomography. Based on the POCS-TV method, we propose a new scheme of TV minimization algorithm, B-POCS-TV-β, which is similar to the Bregman iteration in the sense of “adding the residual back”. Numerical simulations are implemented with few-view and limited-angle problems. We compare the reconstruction error and image quality of B-POCS-TV-β and POCS-TV. B-POCS-TV-β improves the convergence speed a lot. Fewer iterations are needed to obtain the same accuracy.

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