Jin, B; Ammari, H; Alberti, GS; Seo, JK; Zhang, W; (2016) The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography. SIAM Journal on Imaging Sciences , 9 (4) pp. 1525-1551. 10.1137/16M1061564.

Preview

Text Jin_16M1061564.pdf Download (2MB) | Preview

Abstract

This paper provides an analysis of the linearized inverse problem in multifrequency electrical impedance tomography. We consider an isotropic conductivity distribution with a finite number of unknown inclusions with different frequency dependence, as is often seen in biological tissues. We discuss reconstruction methods for both fully known and partially known spectral profiles, and demonstrate in the latter case the successful employment of difference imaging. We also study the reconstruction with an imperfectly known boundary, and show that the multifrequency approach can eliminate modeling errors and recover almost all inclusions. In addition, we develop an efficient group sparse recovery algorithm for the robust solution of related linear inverse problems. Several numerical simulations are presented to illustrate and validate the approach.

Download activity - last month

Export as XMLJSONCSV

Download activity - last 12 months

Export as XMLJSONCSV

Downloads by country - last 12 months

Export as JSONCSVXML

Archive Staff Only

View Item