Admittivity imaging from multi-frequency micro-electrical impedance tomography

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Ammari, Habib¹  Giovangigli, Laure²  Nguyen, Loc Hoang³  Seo, Jin-Keun⁴ 

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Univ Calif Irvine, Dept Math, 340 Rowland Hall, Irvine, CA 92697 USA

[3] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

[4] Yonsei Univ, Dept Computat Sci & Engn, 50 Yonsei Ro, Seoul 120749, South Korea

关键词: Imaging from internal data;    Micro-electrical impedance tomography;    Multi-frequency measurements;    Optimal control;    Landweber algorithm;   

DOI  :  10.1016/j.jmaa.2017.01.004

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free