An Improved Conjugate Gradient Algorithm for Image Reconstruction Algorithm
MA Min1, ZHANG Cai-xia1, JI Jing-jing1, WANG Hua-xiang2
1.Civil Aviation University of China, Tianjin 300300, China;
2.School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China
Abstract：Considering the image reconstruction of electrical capacitance tomography is an ill-conditioned problem, a new regularization method is proposed based on the size of the regularized solution and the quality to fitting the given data in Tikhonov regularization method. This method introduces a mathematical transformation, which overcomes the shortcomings of the disruption of conventional regularization. Meanwhile, the ECT physical model is normalized, and the conjugate gradient algorithm is improved. The simulation results show that the improved algorithm is better than LBP algorithm, conventional Tikhonov regularization algorithm as well as conjugate gradient algorithm in image quality, which is validated by the correlation coefficient.
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2013, Vol. 34 
