Feasibility Study of Acoustic Imaging for Human Thorax Using Contrast Source Inversion

Xiaoqian Song, Maokun Li, Fan Yang, Shenheng Xu, A. Abubakar
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Abstract

In this paper, we study an acoustic imaging method based on contrast source inversion and its feasibility in quantitatively reconstructing the thorax compressibility and qualitatively reconstructing the thorax attenuation and density. The existence of gradient and divergence operator in the acoustic wave equation makes the relationship between the contrast and the total pressure highly nonlinear. To reduce this nonlinearity, we introduce two contrast sources to ensure the symmetry of the equation, such that the inverse problem can be solved efficiently using conjugate gradient method. Moreover, to improve the stability of the algorithm, we applied the multiplicative regularization scheme with two additive regularization factors. Numerical results show that the acoustic parameters of human thorax can be properly reconstructed at frequency of tens of kHz using this inverse algorithm.
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对比源反演用于人体胸部声学成像的可行性研究
本文研究了一种基于对比源反演的声成像方法及其定量重建胸腔压缩性和定性重建胸腔衰减和密度的可行性。声波方程中梯度算子和散度算子的存在使得对比度与总压之间的关系高度非线性。为了减小这种非线性,我们引入了两个对比源,以保证方程的对称性,从而可以使用共轭梯度法有效地求解反问题。此外,为了提高算法的稳定性,我们采用了两个加性正则化因子的乘法正则化方案。数值计算结果表明,该算法能较好地重建人体胸腔在几十kHz频率下的声学参数。
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