Abstract：A new adapted step two-parameter regularization algorithm is presented to reconstruct image in ultrasound tomography system for detecting distribution of slurry concentration. The overdetermined solution, as a priori information, is embedded into the regularization function by using the transition matrix for accelerate reconstruction.Higher space resolution is achieved and the over-smoothing deficiency of the reconstruction can be avoided effectively. The simulation results show that,compared to Tikhonov regularization algorithm and Landweber algorithm, the correlation coefficient of the reconstructed image by using SATPR are significantly improved and the boundary information of image is more reliable.
［1］王化祥,唐磊,闫勇. 电容层析成像图像重建的总变差正则化算法［J］.仪器仪表学报,2007,28(11):2014-2018.
［2］张玲玲,王化祥,范文茹. 基于1范数的电阻层析成像图像重建算法［J］.天津大学学报,2011,(9):786-790.
［3］Lei Jing, Shi Liu, Li Zhihong, et al. An image 〖JP〗reconstruction algorithm based on the extended Tikhonov regularization method for electrical capacitance tomography［J］.Measurement,2009,42(3): 368-376.
［4］Landweber L.An iteration formula for fredholm integral equations of the first kind［J］.American Journal of Mathematics,1951,73(3):615-624.
［5］Mou Changhua, Peng Lihui, Yao Danya, et al. Image 〖JP〗reconstruction using a genetic algorithm for electrical capacitance tomography［J］. Tsinghua Science and Technology,2005,10 (5) : 587-592.
［6］Ortiz-Aleman C,Martin R,Gamio J C. Reconstruction of permittivity images from capacitance tomography data by using very fast simulated annealing［J］.Measurement Science and Technology,2004, 15 (7): 1382-1390.
［7］Warsito W, Fan L S.Neural network based multi-criterion optimization image reconstruction technique for imaging two- and three-phase flow systems using electrical capacitance tomography［J］.Measurement Science and Technology,2001,12 (12): 2198-2210.
［8］Wang Huaxiang, Tang Lei, Cao Zhang. An image reconstruction algorithm based on total variation with adaptive mesh refinement for ECT［J］.Flow Measurement and Instrumentation,2007,18(5-6):262-267.
［9］Hansen P C, O’Leary D P. The use of the L-curve in the regularization of discrete ill-posed problems［J］. SIAM Journal on Scientific Computing, 1993, 14(6): 1487-1503.
［10］Hansen P C. Analysis of Discrete Ill-Posed Problems by Means of the L-Curve［J］.SIAM Review, 1992,34(4):561-580.
［11］Johnston P R, Gulrajani R M. Selecting the corner in the L-curve approach to Tikhonov Regularization［J］. IEEE Transactions on Biomedical Engineering,2000,47(9):1293-1296.
2015, Vol. 36 
