超声层析成像的迭代重建
Iterative aeconstruction algorithm for ultrasonic diffraction tomography
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摘要: 利用变形Born迭代方法,建立了超声衍射重建算法。在迭代过程中,为了解决超声逆散射问题中的非线性性,需要反复地求解前向散射方程和逆散射方程,以达到全场和未知函数的近似,较好地重建物体内部的断层图象。由于逆散射方程是一个不适定性的方程组,要用正则化方法处理方程的不适定性问题,使迭代方法收敛于问题的真实解,才能成功地应用于较高对比度物体的图象重建问题。用Picard准则对不适定问题进行了分析,给出了通过简单图形,确定模型受噪声污染情况以及正则化方法适用范围的方法。在重建实验中,对建立的图像重建算法进行了实验仿真,达到了较好的效果。Abstract: A diffraction tomography reconstruction algorithm is established based on Distorted Born Iteration (DBI). In the iteration, the well-posed forward scattering equations for an estimated total field and ill-posed inverse scattering equations for the desired object property function must be alternately solved to process the nonlinear property of ultrasound inverse scattering image.The regularization method is used for the ill-posed inverse scattering equations,and this makes the iterative convergence to the true solution of the problem for objects with high contrast.The ill-posed problem is analyzed by Picard theory and the method is proposed for analyzing the degree of contantination of the model by noise and the application conditions of regularization. In the experiments, the reconstructed image has acceptable visual quality in simulating image reconstruction.
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