扩散层析成像中图像重建的两种数值方法

S. Gutman, M. Klibanov, Hua Song
{"title":"扩散层析成像中图像重建的两种数值方法","authors":"S. Gutman, M. Klibanov, Hua Song","doi":"10.1364/srs.1995.rtua2","DOIUrl":null,"url":null,"abstract":"We consider Inverse Scattering Problem (ISP) for the Diffusion Equation (1) The ISP consists in determination of either of coefficients D(x) or a(x) given function u(x,t)|∂-Ω = φ(x,t), where ∂ Ω is a boundary of a bounded domain Ω ⊂ ℝn.","PeriodicalId":184407,"journal":{"name":"Signal Recovery and Synthesis","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two Numerical Methods of Image Reconstruction in Diffusion Tomography\",\"authors\":\"S. Gutman, M. Klibanov, Hua Song\",\"doi\":\"10.1364/srs.1995.rtua2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider Inverse Scattering Problem (ISP) for the Diffusion Equation (1) The ISP consists in determination of either of coefficients D(x) or a(x) given function u(x,t)|∂-Ω = φ(x,t), where ∂ Ω is a boundary of a bounded domain Ω ⊂ ℝn.\",\"PeriodicalId\":184407,\"journal\":{\"name\":\"Signal Recovery and Synthesis\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Signal Recovery and Synthesis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/srs.1995.rtua2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Signal Recovery and Synthesis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/srs.1995.rtua2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

我们考虑扩散方程(1)的逆散射问题(ISP)。ISP包括确定给定函数u(x,t)|∂-Ω = φ(x,t)中的系数D(x)或a(x),其中∂Ω是有界域Ω∧∈n的边界。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Two Numerical Methods of Image Reconstruction in Diffusion Tomography
We consider Inverse Scattering Problem (ISP) for the Diffusion Equation (1) The ISP consists in determination of either of coefficients D(x) or a(x) given function u(x,t)|∂-Ω = φ(x,t), where ∂ Ω is a boundary of a bounded domain Ω ⊂ ℝn.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Phase retrieval in the Fresnel transform system : A recursive algorithm Direct Method for Phase Retrieval from the Intensity of Cylindrical Wavefronts Protein Crystallography: From X-ray diffraction spots to a three-dimensional image Comparison of shift-and-add & bispectrum image reconstruction methods for astronomy in the near-infrared Phase retrieval and time-frequency methods in the measurement of ultrasnort laser pulses
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1