SBIR Phase I: Optical Diffusion Tomography in Frequency Domain by the Elliptic Systems Method

9860365这个小企业创新研究第一阶段项目将开发、测试和建立一种创新的数值成像算法的可行性，即所谓的椭圆系统方法（ESM），用于光学/扩散层析成像中频率分辨数据的情况。战略目标是建立和销售光学乳房x线照相术设备。在实现这一目标的过程中，与扩散层析成像中其他竞争的成像算法相比，ESM具有决定性的优势，如高速、鲁棒性和准确性。这种方法先前已被证明非常适用于更昂贵的时间分辨数据。该代码将在模拟和实验数据上进行测试。数学工具的开发将与实验性硬件设备的开发同时进行（从私人投资者筹集的资金将用于硬件方面）。公司的主要商业应用是光学乳房x光检查。本课题开发的技术也适用于雾天目标光学成像、水下水雷光学成像、无损评价等领域。

9860365 This Small Business Innovation Research Phase I project will develop, test and establish the feasibility of an innovative numerical imaging algorithm, the so-called Elliptic Systems Method (ESM), for the case of frequency-resolved data in Optical/Diffusion Tomography. The strategic goal is to build and market an Optical Mammography device. In pursuing this goal, in the ESM has decisive advantages over other competing imaging algorithms in Diffusion Tomography, such as high speed, robustness, and accuracy. This method has previously proven excellent for the more costly time-resolved data. The code will be tested on both simulated and experimental data. The mathematical tools will be developed in parallel with the development of an experimental hardware device (funds raised from private investors will be used for the hardware side). The principal commercial application of company's interest is in optical mammography. The technique which will be developed in this project is also applicable to optical imaging of targets in foggy atmosphere, optical imaging of underwater mines, nondestructive evaluation, etc.