Improving Algebraic Reconstruction Techniques with Nonlinear Iterating Algorithms

Abstract

A new improvement, named simple snlf-correlative algebraic reconstruction technique (SSART), was brought forwards on algebraic reconstruction technique (ART). With numerical simulation, it was applied to reconstructing a Non-ideal-bordered field in order to test its reconstructive effect. For contrast, three current representative ARTs including basic algebraic reconstruction technique (ART), simultaneous ART (SART) and modified SART (MSART) were simulated. The calculated results and reconstructive accuracy were discussed with mean-square error (MSE). As the result, the reconstructive accuracy was improved much by SSART. It's MSE decreased by 96.4% from that of ART at the level of 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-5</sup> magnitude. SSART was considered a very superior reconstruction technique that had many advantages. Its iterating program was simple, reconstructive accuracy high, iterating process convergent persistently. It's a superior iterating reconstruction technique to our knowledge.