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 rec...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.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 10431030, 10771138)the Shanghai Natural Science Foundation (Grant No. 07JC14001)+1 种基金the National Basic Research Program (GrantNo. 2005CB321701)Ministry of Education of China and State Administration of Foreign Experts Affairsof China under an 111 project (Grant No. B08018)
文摘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.
