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Non-linear inverse scattering: High resolution quantitative breast tissue tomography

机译:非线性逆散射:高分辨率定量乳腺组织层析成像

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摘要

Recent published results in inverse scattering generally show the difficulty in dealing with moderate to high contrast inhomogeneities when employing linearized or iteratively linearized algorithms (e.g., distorted Born iterative method). This paper presents a fully nonlinear algorithm utilizing full wave field data, that results in ultrasound computed tomographic images from a laboratory breast scanner, and shows several such unique images from volunteer subjects. The forward problem, data collection process and inverse scattering algorithm used are discussed. A functional that represents the “best fit” between predicted and measured data is minimized, and therefore requires a very fast forward problem solver, Jacobian calculation, and gradient estimation, all of which are described. The data collection device is described. The algorithm and device yield quantitative estimates of human breast tissue in vivo. Several high resolution images, measuring ∼150 by 150 wavelengths, obtained from the 2D inverse scattering algorithms, using data collected from a first prototype, are shown and discussed. The quantitative values are compared with previous published work.
机译:反散射的最新发表的结果通常显示出在采用线性化或迭代线性化算法(例如,扭曲的Born迭代法)时,难以处理中等到高对比度的不均匀性。本文提出了一种利用全波场数据的完全非线性算法,该算法可从实验室乳房扫描仪获得超声计算机断层图像,并显示来自志愿者受试者的几幅此类独特图像。讨论了正向问题,数据收集过程和所使用的逆散射算法。代表预测数据和测量数据之间“最佳拟合”的功能已被最小化,因此需要非常快的问题求解器,雅可比计算和梯度估计,所有这些均已描述。描述了数据收集装置。该算法和设备可在体内对人的乳房组织进行定量估计。展示并讨论了使用2D逆散射算法从二维逆散射算法获得的几幅高分辨率图像,这些图像可测量约150×150个波长。将定量值与以前发表的工作进行比较。

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