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Image Reconstruction for 3D Lung Imaging - Department of Systems ...

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also showed an increased Radial PE due to the contrast being pushed toward the tank<br />

centre <strong>for</strong> phantoms located in the end sections. This effect was less noticeable with the<br />

Planar EP configuration. Both the Planar and Planar-Offset EP configurations show little<br />

degradation due to electrode plane separation errors <strong>of</strong> up 20% (6cm on the 28cm tall tank).<br />

The Planar-Offset is slightly more robust than the Planar EP configuration in this regard.<br />

6.3.5 2D Limitations<br />

In addition to the seven <strong>3D</strong> EP configurations additional reconstructions were per<strong>for</strong>med<br />

using the same <strong>3D</strong> meshes but with the 16 electrodes arranged in a single plane at a height<br />

<strong>of</strong> 14cm. The plots <strong>of</strong> figure 6.11 were generated similarly to those <strong>of</strong> section 6.2.3: 28<br />

data frames from the r/2 phantom moving through 28 vertical locations. Figure 6.11(c)<br />

validates the obvious insight that vertical position cannot be resolved using a single plane <strong>of</strong><br />

electrodes. Regardless <strong>of</strong> actual phantom height, the 2D arrangement always reconstructs<br />

an image that is located in the plane <strong>of</strong> the electrodes. As the small target moves farther<br />

away from the electrode plane the resolution, figure 6.11(a), and the image magnitude,<br />

figure 6.11(d), both decrease while the the radial error, figure 6.11(b), increases.<br />

Phantom Height (cm)<br />

Phantom Height (cm)<br />

25<br />

20<br />

15<br />

10<br />

5<br />

25<br />

20<br />

15<br />

10<br />

5<br />

Electrode Plane<br />

0<br />

0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52<br />

Resolution (BR)<br />

Phantom Height<br />

<strong>Image</strong> Height<br />

(a) Resolution<br />

5 10 15 20 25<br />

<strong>Image</strong> Height (cm)<br />

(c) Contrast<br />

Electrode plane<br />

Phantom Height (cm)<br />

Phantom Height (cm)<br />

25<br />

20<br />

15<br />

10<br />

5<br />

25<br />

20<br />

15<br />

10<br />

5<br />

Electrode Plane<br />

-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5<br />

Radial Error (%)<br />

(b) Radial Error<br />

Electrode Plane<br />

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1<br />

<strong>Image</strong> Magnitude, Normalized to max=1<br />

(d) <strong>Image</strong> Magnitude (Normalized)<br />

Figure 6.11: Per<strong>for</strong>mance measures vs Phantom Height <strong>for</strong> noise free reconstructions with<br />

single layer <strong>of</strong> 16 electrodes <strong>for</strong> the small target moving through 28 vertical positions at r/2.<br />

6.3.6 Summary<br />

A qualitative summary <strong>of</strong> the significant discriminators is presented in table 6.3. Five <strong>of</strong><br />

the configurations show poor per<strong>for</strong>mance in one or more <strong>of</strong> the discriminators while the<br />

91

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