USE OF AN OPTIMIZED SPATIAL PRIOR IN D-BAR RECONSTRUCTIONS OF EIT TANK DATA
USE OF AN OPTIMIZED SPATIAL PRIOR IN D-BAR RECONSTRUCTIONS OF EIT TANK DATA
复制标题
DOI：
10.3934/ipi.2018037
复制
发表时间：
2018-08-01
影响因子：
1.3
通讯作者：
Mueller, Jennifer L.
中科院分区：
文献类型：
--
作者：
Alsaker, Melody;Mueller, Jennifer L.
本文的目的是证明在2-D D-bar方法中使用空间先验信息来提高实验收集数据的EIT重建的空间分辨率的可行性。先验由不完全已知的信息的空间位置的夹杂物和假设的电导率是一个软化的分段常数函数。使用一种新的方法，其中一个非线性约束优化例程被用来选择的值的分段常数函数，给出最佳的拟合的散射变换计算的测量数据在磁盘上的导电率值的先验构造。先验然后被包括在散射变换的高频分量中，并且在D-杆方程的解的计算中，具有权重以控制先验的影响。此外，描述了一种新的技术，用于选择正则化参数来截断测量的散射数据，其中，复杂的散射频率的散射变换的值大大不同于那些在散射先验被省略。该方法的有效性证明了EIT数据上收集的盐水填充罐与琼脂心脏和肺与各种添加的不均匀性。
The aim of this paper is to demonstrate the feasibility of using spatial a priori information in the 2-D D-bar method to improve the spatial resolution of EIT reconstructions of experimentally collected data. The prior consists of imperfectly known information about the spatial locations of inclusions and the assumption that the conductivity is a mollified piecewise constant function. The conductivity values for the prior are constructed using a novel method in which a nonlinear constrained optimization routine is used to select the values for the piecewise constant function that give the best fit to the scattering transform computed from the measured data in a disk. The prior is then included in the high-frequency components of the scattering transform and in the computation of the solution of the D-bar equation, with weights to control the influence of the prior. In addition, a new technique is described for selecting regularization parameters to truncate the measured scattering data, in which complex scattering frequencies for which the values of the scattering transform differ greatly from those in the scattering prior are omitted. The effectiveness of the method is demonstrated on EIT data collected on saline-filled tanks with agar heart and lungs with various added inhomogeneities.