Inverse Problems in Industrial Applications

工业应用中的反问题

• 批准号: 0504185
• 负责人: Fadil Santosa
• 金额: --
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-06-01 至 2009-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0504185&HistoricalAwards=false
• 关键词: Inverse; Problems; Industrial; Applications

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.

反问题是一个跨学科的研究领域，是许多科学研究和工程发展的核心。 在反问题中，人们感兴趣的是从测量数据中确定关于系统的定量信息。 该建议的重点是一组逆问题，出现在工业应用中。 这些问题不仅为数学家提供了在重要技术发展中产生影响的机会，而且也为数学家提供了一定会丰富数学科学的研究方向。需要研究的四个研究领域是：（i）光纤电缆芯线轮廓的确定，（ii）点焊的无损评估，（iii）条形码成像和解释，（iv）心脏电活动成像。 拟议的工作涉及建模和分析的问题。 我们还将开发有效的计算策略，利用未知的先验信息，并将其纳入解决方案的策略。 由于该研究计划对PI合作的几家公司感兴趣，预计将进行一些技术转让。