Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem
Adaptive truncated total least square on distorted born iterative method in ultrasound inverse scattering problem
复制标题
超声逆散射问题中畸变迭代法的自适应截断总体最小二乘法
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
M. Almekkawy
中科院分区：
文献类型：
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作者：
Anita Carević;X. Yun;M. Almekkawy
超声断层扫描 (UT) 最强大的方法之一是利用扭曲玻恩迭代 (DBI) 方法重建高质量图像，以帮助更精确地定位和识别肿瘤。由于其迭代性质，它以玻恩近似作为初始猜测开始。然后，利用非齐次格林函数作为核函数，交替计算正问题的总场和逆问题的散射函数。涉及的一个主要计算问题是逆问题是不适定的，如果使用不适当的正则化，就会导致DBI方法发散。本文提出了截断总体最小二乘（TTLS）正则化，其中自适应算法用于在 DBI 的每次迭代中选择正则化参数，而不是在所有迭代中使用固定的截断值。为了防止解决方案受到噪声污染，自适应算法会截断最小奇异值，同时最大限度地减少从传感器获得的信号损失。数值模拟表明，所提出的自适应算法与 TTLS 结合，通过有效降低噪声和最小化相对误差，优于具有固定截断参数的 TTLS。
One of the most powerful approach in ultrasound tomography (UT) is making use of distorted Born iterative (DBI) method to reconstruct high quality image in order to help locate and identify tumors more precisely. Due to its iterative nature, it begins with Born approximation as the initial guess. Then, it makes use of the inhomogeneous Greens function, as the kernel function, to alternatively calculate the total field for the forward problem and the scattering function for the inverse problem. One principal computational problem involved is that inverse problem is ill-posed, which will result in divergence of the DBI method if inappropriate regularization is used. This paper presents the regularization with truncated total least square (TTLS) where the adaptive algorithm is used to choose the regularization parameter in each iteration of DBI instead of using a fixed truncated value in all the iterations. In order to prevent the solution from being contaminated by noise, adaptive algorithm truncates the smallest singular values while minimizing the loss of signal obtained from transducers. Numerical simulations demonstrate that the proposed adaptive algorithm in conjunction with TTLS outperform TTLS with fixed truncation parameter by effectively reducing the noise and minimizing the relative error.
影响因子：
3.8
作者：
Duric, Nebojsa;Littrup, Peter;Glide, Carri
通讯作者：
Glide, Carri