Convoluted back-projection（ CBP） algorithms is a kind of image reconstruction algorithm

it have been applied widely in medical image and non-destructive testing

but its reconstruction speed is far from satisfying in dealing large image. According to the principle of traditional CBP algorithms and parallelism in the filtering process of graphic processing unit（ GPU）

adopts the parallel filtering process of GPU

meanwhile

optimize internal data structure. In evaluating the the capability of the process

applies the contrast experiment between direct convoluted method. The following result show that speed of convoluted back-projection filtering process is accelerated to a large extent compared to direct convoluted method.