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Segmentation of 3D Tubular Tree Structures in Medical Images ...

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5.4. Discussion 93<br />

results. Selle’s approach to tree separation was able to remove major parts <strong>of</strong> the hepatic<br />

ve<strong>in</strong>s from the <strong>in</strong>itial portal ve<strong>in</strong> tree segmentation result. However, some errors still rema<strong>in</strong><br />

<strong>in</strong> the segmentation result (Fig. 5.12(b)). The result achieved with the algorithm<br />

<strong>of</strong> [94] conta<strong>in</strong>s some parts <strong>of</strong> the hepatic ve<strong>in</strong> and the tumor is connected to the portal<br />

ve<strong>in</strong> tree (Fig. 5.12(c)). In comparison, our approach resulted <strong>in</strong> a correct segmentation<br />

shown <strong>in</strong> Fig. 5.12(d). Our structural analysis step dur<strong>in</strong>g the group<strong>in</strong>g an l<strong>in</strong>kage <strong>of</strong> the<br />

tubular structures allows to resolve problems and a valid shape prior is generated such<br />

that leakage or undersegmentation is avoided. The ability to consider local disturbances<br />

<strong>in</strong> a more global context contributes to the robustness <strong>of</strong> our approach and is one <strong>of</strong> its<br />

major advantages.<br />

5.4 Discussion<br />

We have evaluated our method <strong>in</strong> Section 5.3 on several different datasets to assess the<br />

ability to: a) correctly obta<strong>in</strong>/separate different tree structures (e.g., vessel systems), b)<br />

accurately determ<strong>in</strong>e the surface <strong>of</strong> tubular tree structures (segmentation accuracy), and c)<br />

robustly handle noise and disturbances (e.g., tumors). In this section, we discuss different<br />

aspects <strong>of</strong> the evaluation.<br />

Structural correctness: On experiments with phantom and cl<strong>in</strong>ical data, we demonstrated<br />

our method’s ability to identify tubular objects (Section 5.3.1 and 5.3.2). In all<br />

experiments, no false positives were detected, demonstrat<strong>in</strong>g the robustness <strong>of</strong> our method<br />

to imag<strong>in</strong>g artifacts and noise. With decreas<strong>in</strong>g contrast and scan resolution, the detection<br />

<strong>of</strong> th<strong>in</strong> tubular objects becomes <strong>in</strong>creas<strong>in</strong>gly difficult, and at some po<strong>in</strong>t, tubes become<br />

<strong>in</strong>dist<strong>in</strong>guishable from the image background. Us<strong>in</strong>g phantom datasets, we quantified the<br />

effect <strong>of</strong> contrast and resolution on the detectability <strong>of</strong> tubular objects. On cl<strong>in</strong>ical liver<br />

CT datasets, we showed the correlation between contrast and the centerl<strong>in</strong>e lengths <strong>of</strong><br />

the extracted vessel trees (Fig. 5.11). For cl<strong>in</strong>ical liver datasets, the radiologist identified<br />

only a few miss<strong>in</strong>g vessel branches (11 (0.26%) out <strong>of</strong> 4170). On phantom data, far more<br />

miss<strong>in</strong>g tubes were identified (Fig. 5.3). In case <strong>of</strong> the phantom datasets, the location and<br />

number <strong>of</strong> tubular branches was known a priori, because <strong>of</strong> the available ground truth.<br />

Note that most <strong>of</strong> the unidentified tubes <strong>in</strong> the phantom datasets can not be visually detected<br />

<strong>in</strong> the image data by humans (Fig. 5.2). Clearly, for cl<strong>in</strong>ical data, no such ground<br />

truth was available. Overall, our method performed well even <strong>in</strong> case <strong>of</strong> poor data quality.<br />

We demonstrated the ability <strong>of</strong> our method to separate and segment multiple <strong>in</strong>terwo-

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