Level set methods for inverse scattering-some recent developments

被引:56
作者
Dorn, Oliver [1 ,2 ]
Lesselier, Dominique [3 ]
机构
[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
[2] Univ Carlos III Madrid, Inst Greorio Millan, Leganes 28911, Spain
[3] UPS 11, SUPELEC, Dept Rech Electromagnetisme, Lab Signaux & Syst,CNRS,UMR8506, F-91192 Gif Sur Yvette, France
关键词
RECONSTRUCTION; IDENTIFICATION; OBSTACLES;
D O I
10.1088/0266-5611/25/12/125001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give an update on recent techniques which use a level set representation of shapes for solving inverse scattering problems, completing in that matter the exposition made in (Dorn and Lesselier 2006 Inverse Problems 22 R67) and (Dorn and Lesselier 2007 Deformable Models (New York: Springer) pp 61-90), and bringing it closer to the current state of the art.
引用
收藏
页数:11
相关论文
共 52 条
[1]   3-D Eddy-Current Imaging of Metal Tubes by Gradient-Based, Controlled Evolution of Level Sets [J].
Abascal, Juan Felipe P. J. ;
Lambert, Marc ;
Lesselier, Dominique ;
Dorn, Oliver .
IEEE TRANSACTIONS ON MAGNETICS, 2008, 44 (12) :4721-4729
[2]  
ALVAREZ D, 2006, INT J INF SYST SCI, V2, P498
[3]   Crack reconstruction using a level-set strategy [J].
Alvarez, Diego ;
Dorn, Oliver ;
Irishina, Natalia ;
Moscoso, Miguel .
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (16) :5710-5721
[4]   Fluorescence lifetime imaging from time resolved measurements using a shape-based approach [J].
Alvarez, Diego ;
Medina, Paul ;
Moscoso, Miguel .
OPTICS EXPRESS, 2009, 17 (11) :8843-8855
[5]  
Ammari H., 2007, Applied Mathematical Sciences
[6]  
AMMARI H, 2009, SIAM J SCI IN PRESS
[7]  
AMMARI H., 2009, LAYER POTENTIAL TECH
[8]   Direct Elastic Imaging of a Small Inclusion [J].
Ammari, Habib ;
Calmon, Pierre ;
Iakovleva, Ekaterina .
SIAM JOURNAL ON IMAGING SCIENCES, 2008, 1 (02) :169-187
[9]  
Arridge Simon R., 2008, Journal of Physics: Conference Series, V135, DOI 10.1088/1742-6596/135/1/012001
[10]   Artificial time integration [J].
Ascher, U. M. ;
Huang, H. ;
van den Doel, K. .
BIT NUMERICAL MATHEMATICS, 2007, 47 (01) :3-25