SBIR Phase II: Efficient Electrical Impedance Tomography Using Boundary Element Methods

* 9531798 Duraiswami 这个小型企业创新第二阶段研究项目将开发实用，高效，快速和准确的算法和软件，用于使用电阻抗断层扫描（EIT）成像，用于医学和工业中的二维和三维应用。 EIT通过确定阻抗的空间分布来对对象的内部进行成像。 这是通过在其表面施加指定电流并测量感应电压来实现的。 与其他成像方法相比，它在经济、方便和安全方面具有显着优势，适用于各种临床和工业应用。 使EIT更广泛地应用的主要障碍是缺乏一个有效的算法，可以执行精确的数据反演。 目前使用的反演算法是基于有限适用性的启发式技术，或使用有限元的全数值解。 在本研究的第一阶段，通过使用双互易技术的新算法，将计算效率高的边界元法（BEM）扩展到EIT。 通过开发一种新的反问题参数化方法，进一步提高了效率和精度。 第一阶段的结果表明，使用新算法获得的EIT图像的速度和准确性的优势。 第二阶段的研究将进一步改进这些算法。 他们将专门为特定的应用，纳入更有效的方法来执行多参数最小化，并考虑到现有的先验信息。 开发的算法将通过执行实验进行验证和改进。 所开发的软件将被纳入一个方便用户的软件包 用于电阻抗断层成像的边界元法软件在医学成像、两相流成像和工业无损评价和测试方面将具有非常大的商业市场。 开发的软件将授权给EIT系统的制造商，而我们将开发基于EIT的多相流仪表。 ***

*** 9531798 Duraiswami This Small Business Innovation Phase II Research project will develop practical, efficient, fast and accurate algorithms and software for imaging using Electrical Impedance Tomography (EIT) for both two and three-dimensional applications in medicine and industry. EIT images the inside of an object by determining the spatial distribution of impedance. This is achieved by applying specified currents at their surface, and measuring the voltage induced. Compared to other imaging methods promises significant advantages in economy, convenience, and safety for a wide variety of clinical and industrial applications. The main obstacle to making EIT more widely applicable is the lack of an efficient algorithm that can perform accurate data inversion. Inversion algorithms currently in use are based on either heuristic techniques of limited applicability, or on full numerical solution using finite elements. In Phase I of this research the computationally efficient Boundary Element Method (BEM) was extended to EIT by using new algorithms that use dual reciprocity techniques. Further improvements in efficiency and accuracy were obtained by developing a new methodology for parametrizing the inverse problem. Phase I results demonstrated the speed and accuracy advantages of EIT images obtained using the new algorithms. Phase II research will further improve these algorithms. They will be specialized to particular applications, incorporate more efficient ways to perform the multiple parameter minimization, and account for available a priori information. The developed algorithms will be validated and refined by performing experiments. The software developed will be integrated into a user-friendly package BEM software for Electrical Impedance Tomography will have a very large commercial market in medical imaging, two-phase flow imaging, and industrial nondestructive evaluation and testing. The developed software will be licensed to manufacturers of EIT systems, while we w ill develop EIT based multiphase flow instrumentation. ***