Admittivity imaging from multi-frequency micro-electrical impedance tomography

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• 作者：Habib Ammari^a ; ^{habib.ammari@math.ethz.ch} ; Laure Giovangigli^b ; ^{lgiovang@uci.edu} ; Loc Hoang Nguyen^c ; ^{nguye50@uncc.edu} ; Jin-Keun Seo^d ; ^{seoj@yonsei.ac.kr}
• 关键词：Imaging from internal data ; Micro-electrical impedance tomography ; Multi-frequency measurements ; Optimal control ; Landweber algorithm
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1601-1618
• 全文大小：1780 K
• 卷排序：449

文摘

The aim of this paper is to propose an optimal control optimization algorithm for reconstructing admittivity distributions (i.e., both conductivity and permittivity) from multi-frequency micro-electrical impedance tomography. A convergent and stable optimal control scheme is shown to be obtainable from multi-frequency data. This opens a door for convergence analysis of optimal control type approaches in imaging from internal data. The results of this paper have potential applicability in cancer imaging, cell culturing and differentiation, food sciences, and biotechnology.