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Original Articles

Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data

, &
Pages 193-210 | Received 23 Aug 2004, Accepted 24 Jun 2005, Published online: 21 Aug 2006

Figures & data

Figure 1. Cross section through sensor showing electrodes and screen.

Figure 1. Cross section through sensor showing electrodes and screen.

Figure 2. True image and the evolution of the shape during the level set reconstruction.

Figure 2. True image and the evolution of the shape during the level set reconstruction.

Figure 3. Evolution of the norm of the residuals during the shape reconstruction shown in .

Figure 3. Evolution of the norm of the residuals during the shape reconstruction shown in figure 2.

Figure 4. True image, initial guess and final level set reconstruction for the situation of two objects close to each other.

Figure 4. True image, initial guess and final level set reconstruction for the situation of two objects close to each other.

Figure 5. Electrodes in 3D ERT.

Figure 5. Electrodes in 3D ERT.

Figure 6. True image (a) and level set reconstruction (b).

Figure 6. True image (a) and level set reconstruction (b).

Figure 7. True image (a) and level set reconstruction (b).

Figure 7. True image (a) and level set reconstruction (b).

Figure 8. True image (a) and level set reconstruction (b).

Figure 8. True image (a) and level set reconstruction (b).

Figure 9. True image (a) and level set reconstruction (b).

Figure 9. True image (a) and level set reconstruction (b).

Figure 10. Comparison of level set reconstructions with pixel-based Gauss–Newton reconstructions for ERT experimental data. The left column shows the real objects, the central column the pixel-based reconstructions, and the right column the shape-based reconstructions using level sets.

Figure 10. Comparison of level set reconstructions with pixel-based Gauss–Newton reconstructions for ERT experimental data. The left column shows the real objects, the central column the pixel-based reconstructions, and the right column the shape-based reconstructions using level sets.

Figure 11. Comparison of level set reconstructions with pixel-based Gauss–Newton reconstructions for ECT experimental data. The region of interest is the interior of the pipe. The left column shows the real objects, the central column the pixel-based reconstructions, and the right column the shape-based reconstructions using level sets.

Figure 11. Comparison of level set reconstructions with pixel-based Gauss–Newton reconstructions for ECT experimental data. The region of interest is the interior of the pipe. The left column shows the real objects, the central column the pixel-based reconstructions, and the right column the shape-based reconstructions using level sets.

Figure 12. Shape evolution of level set approach for example (g) of .

Figure 12. Shape evolution of level set approach for example (g) of figure 11.

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