Inverse Problems in Industrial Applications

点击翻译按钮获取中文摘要

Inverse problem is interdisciplinary research field that is at the heart of many scientific inquiry and engineering development. In inverse problems, one is interested in determining quantitative information about a system from measured data. This proposal focuses on a set of inverse problems that arise in industrial applications. These problems not only offer mathematicians with opportunities to make an impact in important technological development, but also research directions that are certain to enrich mathematical sciences.Four research areas to be investigated are (i) determination of core profile of an fiber optic cable, (ii) nondestructive evaluation of spot-welds, (iii) bar code imaging and interpretation, (iv) imaging the electrical activity of the heart. The proposed work involves modeling and analysis of the problem. We will also develop effective computational strategies that exploits a priori information about the unknown and incorporates them in the solution strategy. Because this research program is of interest to several of the companies with which the PI has collaborated, it is anticipated that some technology transfer will occur.