基于改进正则化方法的有限角度CT图像重建算法

CT Reconstruction Algorithm from Limited-angle Using Modified Regularization Method

摘要: 本文提出了一种基于改进正则化方法的有限角度CT图像重建算法。该算法基于同伦映射的思想,改进了Tikhonov正则化方法。对于算法中的正则化参数,引入了一种下降速率可调的连续参数修正方法,有效地避免了由于试探正则化参数而带来的不便,从而提高了求解效率。实验结果表明,该方法可以快速地确定在该种条件下最优的正则化参数,进而得到较好的重建结果。

Abstract: In this paper, a modified Tikhonov regularization CT image reconstruction algorithm from limited-angle was proposed.The modified Tikhonov regularization method adopted homotopy mapping to adjust the regularization parameter continuously, which increased the efficiency of computation procedure by avoiding the attempt of the regularization parameter.Experimental results show that the proposed algorithm improved the quality of reconstruction image by fixing on the optimization parameter rapidly.