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A study on the reconstruction of moderate contrast targets using the distorted born iterative method

机译:失真的天生迭代法重建中等对比度目标的研究

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Previous tomographic methods using ultrasound for reconstructing sound speed and attenuation images suffered from convergence issues for targets with moderate speed of sound contrast. Convergence problems can be overcome by the use of the multiple frequency, distorted Born iterative method (DBIM). The implementation of DBIM for measurement configurations in which receiver positions are fixed was studied, and a novel regularization scheme was developed. The regularization parameter needed to stabilize the inversion process initially was found through the Rayleigh quotient iteration, then relaxed according to the relative residual error between the measured and estimated scattered fields. The DBIM was successfully stabilized for both full and partial receiver angular coverage without a significant loss in spatial resolution. The effects of variable density in the reconstructions were briefly explored through simulations. The ability to reconstruct targets with moderate contrast was validated through experimental measurements. Speed of sound profiles for balloons filled with saline in a background of water were reconstructed using multiple frequency DBIM techniques. The mean squared error for speed of sound reconstructions of the balloon phantoms with 16.4% sound speed contrast was 1.1%.
机译:以前使用超声重建声速和衰减图像的层析成像方法存在针对声速适中的目标的收敛问题。可以通过使用多频率失真的Born迭代方法(DBIM)来克服收敛问题。研究了在接收机位置固定的测量配置中DBIM的实现,并开发了一种新颖的正则化方案。最初通过瑞利商迭代找到稳定反演过程所需的正则化参数,然后根据测量和估计的散射场之间的相对残留误差放松。对于全部和部分接收机角度覆盖,DBIM已成功稳定下来,而空间分辨率没有明显损失。通过模拟简要探讨了可变密度在重建中的影响。通过实验测量验证了具有中等对比度的目标重建的能力。使用多频DBIM技术重建了在水背景下充满盐水的气球的声音轮廓速度。具有16.4%声速对比度的气球模型的声音重建速度的均方误差为1.1%。

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