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、快速和准确的成像算法和软件，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成像对象的内部。这是通过在其表面施加特定的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著的优势，可广泛应用于临床和工业应用。使EIT更广泛应用的主要障碍是缺乏有效的算法来执行准确的数据反演。目前使用的反演算法要么基于有限适用性的启发式技术，要么基于使用有限元的完全数值解。在本研究的第一阶段，通过使用使用双互易技术的新算法，将计算效率高的边界元方法(BEM)扩展到EIT。通过开发一种新的反问题参数化方法，进一步提高了反问题的效率和精度。第一阶段的结果证明了使用新算法获得的EIT图像的速度和精度的优势。第二阶段的研究将进一步改进这些算法。它们将专门用于特定的应用，结合更有效的方法来执行多参数最小化，并考虑可用的先验信息。所开发的算法将通过实验进行验证和改进。开发的软件将被集成到一个用户友好的包中，用于电阻抗断层扫描的BEM软件将在医学成像、两相流成像和工业无损评估和检测方面拥有非常大的商业市场。开发的软件将授权给EIT系统制造商，而我们将开发基于EIT的多相流仪器。***

*** 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. ***