Abstract
In this paper, we first demonstrate that two ordered-subset simultaneous algebraic reconstruction techniques (OS-SART) can be heuristically derived from the perspective of data rectification. Then, we study the convergence in the framework of our recent work on the OS version of the Landweber scheme. The first OS-SART is the same as the BSSART formula, which is a special case of the OS version of the Landweber scheme. Hence, it converges in the weighted least square sense even in the case of inconsistent data. Both the OS-SART formulas are tested for reconstruction of CT images from practical data.