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Calibration Procedures for Orthogonal Superposition Rheology
Published on: November 18, 2020
A second order Calderón's method with a correction term and a priori information
Kwancheol Shin1, Jennifer L Mueller1, Jennifer L Mueller2
1Department of Mathematics, Colorado State University, USA.
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.
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