A second order Calderón's method with a correction term and a priori information. (3rd December 2020)

• Record Type: Journal Article
• Authors: Shin, Kwancheol; Mueller, Jennifer L
• Is Part Of: Inverse problems. Volume 36:Number 12(2020)
• Publication Date: 2020-12-03
• Subjects: electrical impedance tomography -- Calderon's method -- direct reconstruction algorithm; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/abb014
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Calderón's method is a direct linearized reconstruction method for the inverse conductivity problem with the attribute that it can provide absolute images of both conductivity and permittivity with no need for forward modeling. In this work, an explicit relationship between Calderón's method and the D-bar method is provided, facilitating a 'higher-order' Calderón's method in which a correction term is included, derived from the relationship to the D-bar method. Furthermore, a method of including a spatial prior is provided. These advances are demonstrated on simulated data and on tank data collected with the ACE1 EIT system.