Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data | |
Ding, Meng1; Li, Jianliang2; Liu, Keji3; Yang, Jiaqing4 | |
刊名 | SIAM JOURNAL ON IMAGING SCIENCES
![]() |
2017 | |
卷号 | 10期号:3页码:1579-1602 |
关键词 | inverse scattering local rough surface sampling method near-field data |
ISSN号 | 1936-4954 |
DOI | 10.1137/16M1097997 |
英文摘要 | Consider the scattering of a time-harmonic point source from an unbounded rough surface. The surface is assumed to be different from a plane surface over a finite interval, which leads to the situation that the model problem can be reduced to an equivalent boundary value problem with compactly supported boundary data. Well-posedness is thus proved by employing the variational method with classical Fredholm theory. By constructing a modified near-field equation, we then propose a novel sampling-type method for reconstructing the shape and location of the local rough surface, yielding a fast imaging algorithm. Numerical experiments are presented to illustrate the effectiveness of the method. |
WOS研究方向 | Computer Science ; Mathematics ; Imaging Science & Photographic Technology |
语种 | 英语 |
出版者 | SIAM PUBLICATIONS |
WOS记录号 | WOS:000412157400020 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/2975] ![]() |
专题 | 上海财经大学 |
通讯作者 | Yang, Jiaqing |
作者单位 | 1.Beijing Informat Sci & Technol Univ, Sch Comp Sci, Beijing 100101, Peoples R China; 2.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China; 3.Shanghai Univ Finance & Econ, Sch Math, Shanghai Key Lab Financial Informat Technol, Shanghai 200433, Peoples R China; 4.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China |
推荐引用方式 GB/T 7714 | Ding, Meng,Li, Jianliang,Liu, Keji,et al. Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data[J]. SIAM JOURNAL ON IMAGING SCIENCES,2017,10(3):1579-1602. |
APA | Ding, Meng,Li, Jianliang,Liu, Keji,&Yang, Jiaqing.(2017).Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data.SIAM JOURNAL ON IMAGING SCIENCES,10(3),1579-1602. |
MLA | Ding, Meng,et al."Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data".SIAM JOURNAL ON IMAGING SCIENCES 10.3(2017):1579-1602. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论