Being able to reconstruct complex fields by our nonlinear auto-adapted iterative reconstructing technique without filtering

Econstructing algorithm is able to reconstruct complex fields without any filter. It was named Simple Self-correlative algebraic reconstruction technique (SSART), which is one of nonlinear auto-adapted iterative reconstructing techniques. With numerical simulation, SSART was applied to reconstructing a complex field in order to test its converging capability. For contrast, three current representative algebraic reconstructing techniques(ARTs) including basic algebraic reconstruction technique(ART), simultaneous ART(SART) and modified SART(MSART) were simulated in the same way. The calculated results and reconstructive accuracy were discussed with mean-square error(MSE) and peak error(PE). Based on the MSE and PE analysis, the converging capability of each reconstructing technique was discussed. As the result, SSART could reconstruct the complex model, but others couldn´t. We stopped iterating after the three hundredth iterating cycle. With twenty-eight projections, the SSART could reconstruct the model in a decent accuracy grade by the MSE and PE 0.00024357, 0.61%, respectively. The reconstructed result by ART only showed outline of the model to some extent. The result by SART diverged away. The result by MSART showed an outline of the model to some extent, too. It was better than the result by ART. Our algorithm is a superior technique.