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| Electromagnetic tomography (EMT): image reconstruction based on the inverse problem | |
| 引用本文： | XIONG Hanliang,HE Min,LIU Ze,XU Ling''an. Electromagnetic tomography (EMT): image reconstruction based on the inverse problem[J]. 自然科学进展(英文版), 2003, 13(6): 470-474 |
| 作者姓名： | XIONG Hanliang HE Min LIU Ze XU Ling''an |
| 作者单位： | School of Automation, Tianjin University, Tianjin 300072, China,College of Engineering, Shanghai Maritime University, Shanghai 200135, China,Department of Automatic Control, Nothern Jiaotong University, Beijing 100044, China,School of Automation, Tianjin University, Tianjin 300072, China |
| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 59877018) |
| 摘 要： | Starting from Maxwell's equations for inhomogeneous media, nonlinear integral equations of the inverse problem of the electromagnetic tomography (EMT) are derived, whose kernel is the dyadic Green's function for the EMT sensor with a homogeneous medium in the object space. Then in terms of ill-posedness of the inverse problem, a Tikhonov-type regularization model is established based on a linearization-approximation of the nonlinear inverse problem. Finally, an iterative algorithm of image reconstruction based on the inverse problem and reconstruction images of some object flows for simplified sensor are given. Initial results of the image reconstruction show that the algorithm based on the inverse problem is superior to those based on the linear back-projection in the quality of image reconstruction. |
| 关 键 词： | electromagnetic theory inverse problem tomography image reconstruction |
Electromagnetic tomography (EMT): image reconstruction based on the inverse problem |
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| XIONG Hanliang,HE Min,LIU Ze,XU Ling'an. Electromagnetic tomography (EMT): image reconstruction based on the inverse problem[J]. Progress in Natural Science, 2003, 13(6): 470-474 | |
| Authors: | XIONG Hanliang HE Min LIU Ze XU Ling'an |
| Affiliation: | 1. School of Automation, Tianjin University, Tianjin 300072, China 2. College of Engineering, Shanghai Maritime University, Shanghai 200135, China 3. Department of Automatic Control, Nothern Jiaotong University, Beijing 100044, China |
| Abstract: | Starting from Maxwell's equations for inhomogeneous media, nonlinear integral equations of the inverse problem of the electromagnetic tomography (EMT) are derived, whose kernel is the dyadic Green's function for the EMT sensor with a homogeneous medium in the object space. Then in terms of ill-posedness of the inverse problem, a Tikhonov-type regularization model is established based on a linearization-approximation of the nonlinear inverse problem. Finally, an iterative algorithm of image reconstruction based on the inverse problem and reconstruction images of some object flows for simplified sensor are given. Initial results of the image reconstruction show that the algorithm based on the inverse problem is superior to those based on the linear back-projection in the quality of image reconstruction. |
| Keywords: | electromagnetic theory inverse problem tomography image reconstruction |
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