Inverse Problems for Biomedical Imaging and Homeland Security
生物医学成像和国土安全的反问题
基本信息
- 批准号:1816430
- 负责人:
- 金额:$ 21.37万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2018
- 资助国家:美国
- 起止时间:2018-08-01 至 2022-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Computerized tomography plays a central role in biomedical imaging and is saving millions of lives. Such techniques are also extensively used in industrial non-destructive testing, geophysics, seismology, astronomy, and other areas. Lately, they have found important, albeit not yet well-developed, applications for detecting illicit weapons-grade nuclear materials. The quest for newer, safer, cheaper, and more robust imaging techniques is ongoing and has intensified in recent years. The main thrust of the project is the development of new techniques of medical imaging and improving some of the existing ones, as well as the development of efficient methods of detecting illicit nuclear materials at border crossings and in harbors. In recent years, revolutionary "hybrid/coupled-physics" methods of medical imaging have been emerging, with a major contribution by the investigator, his students, and his collaborators. By combining several different types of physical waves, they overcome limitations of classical techniques and deliver potentially life-saving diagnostic information - at a lesser cost and with less health hazards to a patient. The images in these modalities are obtained by complex mathematical procedures rather than through direct acquisition. A part of the project is devoted to development of several of such novel techniques. Another part is directed towards improving the recently suggested and development of new techniques for the homeland security problem of detecting illicit weapons-grade nuclear materials in cargo, to be used at border crossings and harbors. The project has a significant impact on the development of several new sensitive, inexpensive, and safe methods of diagnostic medical imaging and efficient novel techniques of nuclear threat detection in homeland security, with possible applications in other areas. Graduate students play a significant role in the project, which prepares them for work in the exciting area at the intersection of exact sciences, medicine, biology, and homeland security. The project takes up central analytic and numerical issues and several novel techniques of emerging coupled-physics. A significant effort is also devoted to the mathematics of Compton camera imaging, which is a promising novel technique that avoids mechanical collimation of particles and thus is well suited for high noise modalities such as Single Photon Emission Tomography in medical diagnostics. Compton cameras and their currently developed analogues for neutron detection carry even more promise for detecting the presence of low-emission illicit weapons grade radioactive sources versus a strong background noise. Here, the exact reconstruction techniques customary in medical imaging do not work, but a mixture of analytic and statistical tools goes much further down to very low signal-to-noise ratios. Another approach, which most probably can go even further, is to train deep neural networks for detection purposes.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
计算机断层扫描在生物医学成像中发挥着核心作用,正在挽救数百万人的生命。这些技术也广泛应用于工业无损检测、地球物理学、地震学、天文学和其他领域。最近,他们发现了一些重要的应用程序,尽管尚未得到很好的开发,用于检测非法武器级核材料。对更新、更安全、更便宜和更强大的成像技术的追求正在进行中,并且近年来有所加强。该项目的主旨是开发新的医学成像技术和改进某些现有技术,以及开发在过境点和港口探测非法核材料的有效方法。近年来,革命性的“混合/耦合物理”医学成像方法已经出现,研究者,他的学生和他的合作者做出了重大贡献。通过结合几种不同类型的物理波,它们克服了经典技术的局限性,并以更低的成本和更少的健康危害提供了可能挽救生命的诊断信息。这些模式中的图像是通过复杂的数学程序而不是通过直接采集来获得的。该项目的一部分致力于开发几种这种新技术。另一部分旨在改进最近提出的关于在过境点和港口检测货物中非法武器级核材料的国土安全问题的新技术,并为此开发新技术。该项目对开发几种新的敏感,廉价和安全的诊断医学成像方法以及国土安全中核威胁检测的有效新技术产生了重大影响,并可能应用于其他领域。研究生在该项目中发挥着重要作用,该项目为他们在精确科学,医学,生物学和国土安全交叉的令人兴奋的领域工作做好了准备。该项目需要中心的分析和数值问题和新兴的耦合物理的几种新技术。一个显着的努力也致力于康普顿照相机成像,这是一个有前途的新技术,避免了机械准直的粒子,因此非常适合于高噪声模态,如单光子发射断层扫描在医疗诊断的数学。康普顿照相机及其目前开发的中子探测类似物在探测低排放非法武器级放射源方面比在强背景噪声方面更有希望。在这里,医学成像中常用的精确重建技术不起作用,而是分析和统计工具的混合物进一步降低到非常低的信噪比。另一种可能更进一步的方法是训练用于检测目的的深度神经网络。该奖项反映了NSF的法定使命,并通过使用基金会的知识价值和更广泛的影响审查标准进行评估而被认为值得支持。
项目成果
期刊论文数量(3)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Some binomial formulas for non-commuting operators
非交换算子的一些二项式公式
- DOI:10.1090/conm/733/14743
- 发表时间:2019
- 期刊:
- 影响因子:0
- 作者:Kuchment, Peter;Lvin, Sergey
- 通讯作者:Lvin, Sergey
Deep learning for 2D passive source detection in presence of complex cargo
存在复杂货物时进行二维被动源检测的深度学习
- DOI:10.1088/1361-6420/abb51d
- 发表时间:2020
- 期刊:
- 影响因子:2.1
- 作者:Baines, W;Kuchment, P;Ragusa, J
- 通讯作者:Ragusa, J
Compton camera imaging and the cone transform: a brief overview
康普顿相机成像和锥体变换:简要概述
- DOI:10.1088/1361-6420/aab0ab
- 发表时间:2018
- 期刊:
- 影响因子:2.1
- 作者:Terzioglu, Fatma;Kuchment, Peter;Kunyansky, Leonid
- 通讯作者:Kunyansky, Leonid
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Peter Kuchment其他文献
Peter Kuchment的其他文献
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{{ truncateString('Peter Kuchment', 18)}}的其他基金
Spectral problems of mathematical physics and material science
数学物理和材料科学的光谱问题
- 批准号:
2007408 - 财政年份:2020
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Spectral Problems of Mathematical Physics Related to Novel Materials Science and Photonics
与新材料科学和光子学相关的数学物理谱问题
- 批准号:
1517938 - 财政年份:2015
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Collaborative research: Mathematics of emerging imaging methods in medicine and homeland security
合作研究:医学和国土安全中新兴成像方法的数学
- 批准号:
1211463 - 财政年份:2012
- 资助金额:
$ 21.37万 - 项目类别:
Continuing Grant
Analysis on Graphs and its Applications: Follow-up Meeting
图分析及其应用:后续会议
- 批准号:
0963287 - 财政年份:2010
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Collaborative Research: Mathematical Techniques for Emerging Methods in Biomedical Imaging
合作研究:生物医学成像新兴方法的数学技术
- 批准号:
0908208 - 财政年份:2009
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
SM: Graph Models in Nanotechnology, Photonics, Chemistry, and Other Areas
SM:纳米技术、光子学、化学和其他领域的图模型
- 批准号:
0648786 - 财政年份:2007
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Mathematical Methods for Novel Modalities of Medical Imaging
医学成像新模式的数学方法
- 批准号:
0604778 - 财政年份:2006
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Band-gap Materials, Mesoscopic Structures, and Related Topics
带隙材料、介观结构及相关主题
- 批准号:
0296150 - 财政年份:2001
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
Band-gap Materials, Mesoscopic Structures, and Related Topics
带隙材料、介观结构及相关主题
- 批准号:
0072248 - 财政年份:2000
- 资助金额:
$ 21.37万 - 项目类别:
Standard Grant
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