A Hybrid Segmentation and D-Bar Method for Electrical Impedance Tomography

作者：Hamilton, S. J.^*; Reyes, J. M.; Siltanen, S.; Zhang, X.

来源：SIAM Journal on Imaging Sciences, 2016, 9(2): 770-793.

DOI：10.1137/15M1025992

• electrical impedance tomography
• D-bar method
• edge preserving
• scattering transform
• Beltrami equation

The regularized D-bar method for electrical impedance tomography (EIT) provides a rigorous mathematical approach for solving the full nonlinear inverse problem directly, i.e., without iterations. It is based on a low-pass filtering in the (nonlinear) frequency domain. However, the resulting D-bar reconstructions are inherently smoothed, leading to a loss of edge distinction. In this paper, a novel method that combines a D-bar approach with the edge-preserving nature of total variation (TV) regularization is presented. The method also includes a data-driven contrast adjustment technique guided by the key functions (CGO solutions) of the D-bar method. The new TV-enhanced D-bar method produces reconstructions with sharper edges and improved contrast. This is achieved by using the TV-induced edges to increase the truncation radius of the scattering data in the nonlinear frequency domain, thereby increasing the radius of the low-pass filter. The algorithm is tested on numerically simulated noisy EIT data and demonstrates significant improvements in edge preservation and contrast which can be highly valuable for absolute EIT imaging.

• 出版日期2016
• 单位上海交通大学