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使用散射变换的改进逼近对人体胸部和坦克数据进行 2D D-bar 重建。

2D D-bar reconstructions of human chest and tank data using an improved approximation to the scattering transform.

机构信息

Enspiria Solutions, Inc, Greenwood Village, CO 80111, USA.

出版信息

Physiol Meas. 2010 Feb;31(2):221-32. doi: 10.1088/0967-3334/31/2/008. Epub 2010 Jan 7.

Abstract

The D-bar method for electrical impedance tomography requires the computation of an intermediate function known as the scattering transform from the measured data. An approximation to the scattering transform utilizing the standard Green's function for the Laplacian was introduced for the 2D D-bar method in Mueller and Siltanen (2003 SIAM J. Sci. Comp. 24 1232-66) and tested on simple numerically simulated conductivity distributions. In this work, the approximation is implemented for experimental data for the first time. It is tested on both tank and human chest data, and the results demonstrate decreased blurring toward the boundary in the images than in images computed with the t(exp) approximation to the scattering transform.

摘要

D-bar 方法用于电阻抗断层成像需要从测量数据中计算出一个中间函数,称为散射变换。Mueller 和 Siltanen(2003 SIAM J. Sci. Comp. 24 1232-66)为 2D D-bar 方法引入了利用拉普拉斯标准格林函数的散射变换逼近,并在简单的数值模拟传导分布上进行了测试。在这项工作中,首次将该逼近应用于实验数据。它在水箱和人体胸部数据上进行了测试,结果表明,与使用散射变换 t(exp)逼近计算得到的图像相比,边界处的模糊度降低了。

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