A level set method to reconstruct the discontinuity of the conductivity in EIT |
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Authors: | WenBin Chen Jin Cheng JunShan Lin LiFeng Wang |
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Institution: | (1) School of Mathematical Sciences, Fudan University, Shanghai, 200433, China;(2) Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA |
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Abstract: | In this paper, one level set method is applied to finding the interface of discontinuity of the conductivity in EIT(electrical
impedance tomography) problem. By choosing one suitable velocity function, a level set reconstruction algorithm is proposed.
The theoretical results for EIT problem and regularization are given. Finally the numerical examples demonstrate that the
reconstruction algorithm is efficient and stable.
The work was supported by the National Natural Science Foundation of China (Grant Nos. 10431030, 10771138), the Shanghai Natural
Science Foundation (Grant No. 07JC14001), the National Basic Research Program (Grant No. 2005CB321701) and Ministry of Education
of China and State Administration of Foreign Experts Affairs of China under an 111 project (Grant No. B08018). |
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Keywords: | EIT reconstruction algorithm level set method |
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