Error analysis of common iterative reconstruction algorithmsin optical chromatographic technique

In order to get the perfect reconstruction result, the reconstruction parameters of the common iterative algorithms as ART and SIRT used in the optical chromatographic technique are analyzed. The reconstruction requirement was satisfied by selecting the appropriate reconstruction parameters, comparing the reconstruction errors (average error, max error, root-mean-square error), and implementing the computer numeric simulation. This simulation proves that the selection of relaxation factors has a very important influence on the iterative reconstruction algorithms. In ART, while the other conditions are unchanged, the relaxation factor range from 0.4 to 1.5 can meet the requirement of reconstruction accuracy basically and the best selection is 0.8. In SIRT, the relaxation factor range from 4 to 12 is appropriate and 12 is the best selection. The influence of the relaxation factor on the iterative reconstruction algorithms was studied, and the selection law of the relaxation factor under different conditionswas summarized in the algebraic reconstruction technique and simultaneous iterative reconstruction technique. In ART, the relaxation factor will decrease if the number of projection direction increases but the number of each direction projection and reconstruction resolution have no influence on it, and the error will increase if the number is too big or too small while the relaxation factor is unchanged. In SIRT, the relaxation factor will decrease if the number of projection direction increases, and the optimal relaxation factor will decrease 50% if it increases 2 times; the optimal relaxation factor will decrease if the number of every direction projection increases, and the optimal relaxation factor will decrease 50% if it increases 2 times; the relaxation factor will increase if the reconstruction resolution increases.