Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1025992 | SIAM JOURNAL ON IMAGING SCIENCES |
Keywords | Field | DocType |
electrical impedance tomography,D-bar method,edge preserving,scattering transform,Beltrami equation | Frequency domain,Truncation,Mathematical optimization,Nonlinear system,Mathematical analysis,Level set,Filter (signal processing),Image segmentation,Regularization (mathematics),Mathematics,Electrical impedance tomography | Journal |
Volume | Issue | ISSN |
9 | 2 | 1936-4954 |
Citations | PageRank | References |
2 | 0.40 | 14 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| sarah jane hamilton | 1 | 8 | 1.32 |
| Juan M. Reyes | 2 | 2 | 1.08 |
| samuli siltanen | 3 | 120 | 21.35 |
| Xiaoqun Zhang | 4 | 684 | 29.21 |