Inverse Problems and Imaging with Nonlinear Physics
非线性物理反演问题和成像
基本信息
- 批准号:1913309
- 负责人:
- 金额:$ 31.39万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2019
- 资助国家:美国
- 起止时间:2019-07-01 至 2023-09-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This project aims at studying imaging and inverse problems where nonlinear effects in physics play significant roles. Nonlinear physics could either help us image objects that could not be imaged with only linear physics or prevent us from imaging objects that we would have been able to image in the absence of such nonlinear effects. In either case, understanding the impact of such nonlinear effects would help us improve the quality of the underlying imaging modalities. The goal of the project is to perform detailed mathematical and numerical analysis to characterize the effects of nonlinearity on image reconstructions in such cases.The main research efforts in this project include, but are not limited to: (i) developing efficient reconstruction algorithms for imaging through nonlinear dispersive media; (ii) developing mathematical theory and computational methods for imaging two-photon absorption and second harmonic generation in optics; and (iii) analyzing quantitative photoacoustics with nonlinear absorption and developing corresponding computational image reconstruction algorithms. The mathematical ideas developed in this project are expected to provide insights on future studies of similar imaging and inverse problems related to nonlinear partial differential equations. The research is also expected to have impact on the development of practically useful methods for imaging through nonlinear media as well as imaging nonlinear physical properties of given media. This project involves an integrated educational component that aims at training advanced undergraduate, master and PhD students.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.
这个项目的目的是研究成像和逆问题,其中非线性效应在物理中起着重要的作用。非线性物理可以帮助我们对仅用线性物理无法成像的物体成像,也可以阻止我们成像在没有这种非线性效应的情况下我们本可以成像的物体。在任何一种情况下,了解这种非线性效应的影响将有助于我们提高基础成像模式的质量。该项目的目标是进行详细的数学和数值分析,以表征非线性对图像重建的影响。本项目的主要研究工作包括但不限于:(I)开发高效的非线性色散介质成像的重建算法;(Ii)发展光学中双光子吸收和二次谐波成像的数学理论和计算方法;(Iii)分析具有非线性吸收的定量光声学,并开发相应的计算图像重建算法。这个项目中发展的数学思想有望为未来与非线性偏微分方程组相关的类似成像和反问题的研究提供见解。这项研究还有望对开发实用的通过非线性介质成像的方法以及对给定介质的非线性物理性质成像产生影响。该项目涉及旨在培养高级本科生、硕士和博士生的综合教育部分。该奖项反映了NSF的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
项目成果
期刊论文数量(4)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Deep Neural Networks for Creating Reliable PmP Database With a Case Study in Southern California
- DOI:10.1029/2021jb023830
- 发表时间:2021-12
- 期刊:
- 影响因子:0
- 作者:Wen Ding;Tianjue Li;Xu Yang;Kui Ren;P. Tong
- 通讯作者:Wen Ding;Tianjue Li;Xu Yang;Kui Ren;P. Tong
Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption
- DOI:10.1137/21m1436178
- 发表时间:2021-07
- 期刊:
- 影响因子:0
- 作者:Ru-Yu Lai;Kui Ren;Ting Zhou
- 通讯作者:Ru-Yu Lai;Kui Ren;Ting Zhou
Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics
- DOI:10.1137/18m1231341
- 发表时间:2018-12
- 期刊:
- 影响因子:0
- 作者:Kui Ren;Sarah Vall'elian
- 通讯作者:Kui Ren;Sarah Vall'elian
Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption
具有非线性吸收的散射介质中波传播的传输模型
- DOI:10.1137/22m1533505
- 发表时间:2023
- 期刊:
- 影响因子:1.9
- 作者:Kraisler, Joseph;Li, Wei;Ren, Kui;Schotland, John C.;Zhong, Yimin
- 通讯作者:Zhong, Yimin
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Kui Ren其他文献
Jamming-Resistant Multiradio Multichannel Opportunistic Spectrum Access in Cognitive Radio Networks
认知无线电网络中的抗干扰多无线电多通道机会频谱接入
- DOI:
10.1109/tvt.2015.2511071 - 发表时间:
2016-10 - 期刊:
- 影响因子:0
- 作者:
Qian Wang;Kui Ren;Peng Ning;Shengshan Hu - 通讯作者:
Shengshan Hu
Comparison of Frequency-Domain Transport- and Diffusion-Based Reconstructions of Small Tissue Volumes
基于频域传输和扩散的小组织体积重建的比较
- DOI:
10.1364/bio.2006.sh31 - 发表时间:
2006 - 期刊:
- 影响因子:0
- 作者:
Kui Ren;G. Bal;A. Hielscher - 通讯作者:
A. Hielscher
Design and Evaluation of Fluctuating Power Logic to Mitigate Power Analysis at the Cell Level
波动功率逻辑的设计和评估,以减轻单元级的功率分析
- DOI:
10.1109/tcad.2020.3023900 - 发表时间:
2021-06 - 期刊:
- 影响因子:2.9
- 作者:
Fan Zhang;Shivam Bhasin;Bolin Yang;Bojie Yang;Yiran Zhang;Xuanle Ren;Kui Ren - 通讯作者:
Kui Ren
Bipodal structure in oversaturated random graphs
过饱和随机图中的双足结构
- DOI:
10.1093/imrn/rnw261 - 发表时间:
2015 - 期刊:
- 影响因子:0
- 作者:
R. Kenyon;C. Radin;Kui Ren;L. Sadun - 通讯作者:
L. Sadun
VORTEX: Real-Time Off-Chain Payments and Cross-Chain Swaps for Cryptocurrencies
VORTEX:加密货币的实时链外支付和跨链交换
- DOI:
- 发表时间:
2024 - 期刊:
- 影响因子:0
- 作者:
Di Wu;Jian Liu;Zhengwei Hou;Wu Wen;Kui Ren - 通讯作者:
Kui Ren
Kui Ren的其他文献
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{{ truncateString('Kui Ren', 18)}}的其他基金
Coupling PDE-Based Computational Inversion and Learning Via Weighted Optimization
通过加权优化耦合基于偏微分方程的计算反演和学习
- 批准号:
2309802 - 财政年份:2023
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
RTG: Research Training in Applied Mathematics at Columbia University
RTG:哥伦比亚大学应用数学研究培训
- 批准号:
1937254 - 财政年份:2020
- 资助金额:
$ 31.39万 - 项目类别:
Continuing Grant
Hybrid Imaging with Acoustic and Optics: Efficient Computation via Constructive Analysis
声学和光学混合成像:通过构造性分析进行高效计算
- 批准号:
1620473 - 财政年份:2016
- 资助金额:
$ 31.39万 - 项目类别:
Continuing Grant
Student Travel Support for the INFOCOM 2014 Conference
INFOCOM 2014 会议的学生旅行支持
- 批准号:
1417455 - 财政年份:2014
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
NeTS: Small: Collaborative Research: Realizing Visual and Acoustic Near Field Communication Systems for Smartphones: Performance Optimization and Security Assurance
NeTS:小型:协作研究:实现智能手机视觉和声学近场通信系统:性能优化和安全保证
- 批准号:
1421903 - 财政年份:2014
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
Computational Algorithms for Imaging, Design and Inverse Problems of Particle Propagation in Heterogeneous Media
异质介质中粒子传播的成像、设计和反问题的计算算法
- 批准号:
1321018 - 财政年份:2013
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
NeTS: Small: Collaborative Research: Enabling Robust Communication in Cognitive Radio Networks with Multiple Lines of Defense
NeTS:小型:协作研究:在具有多道防线的认知无线电网络中实现稳健通信
- 批准号:
1318948 - 财政年份:2013
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
CAREER: Secure and Privacy-assured Data Service Outsourcing in Cloud Computing
职业:云计算中安全且有隐私保证的数据服务外包
- 批准号:
1262277 - 财政年份:2012
- 资助金额:
$ 31.39万 - 项目类别:
Continuing Grant
NeTS: Small: Collaborative Research: Mobile Content Distribution in Vehicular Ad Hoc Networks
NeTS:小型:协作研究:车载自组织网络中的移动内容分发
- 批准号:
1262275 - 财政年份:2012
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
NeTS: Small: Collaborative Research: Mobile Content Distribution in Vehicular Ad Hoc Networks
NeTS:小型:协作研究:车载自组织网络中的移动内容分发
- 批准号:
1117811 - 财政年份:2011
- 资助金额:
$ 31.39万 - 项目类别:
Standard Grant
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