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

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56 Chapter 3. Group<strong>in</strong>g and L<strong>in</strong>kage <strong>in</strong>to Connected Networks<br />

tubular tree structures considerably.<br />

Behavior <strong>in</strong> case <strong>of</strong> disturbances and significant deviations from a typical tubular<br />

shape: Fig. 3.4 shows an airway tree conta<strong>in</strong><strong>in</strong>g a large tumor that <strong>in</strong>filtrates the<br />

airways. The tumor blocks the connection to one <strong>of</strong> the airway branches completely and<br />

leads to a stenosis <strong>in</strong> another airway branch (Fig. 3.4(a) and (b)). As can be seen from the<br />

extracted tubular structures (Fig. 3.4(c)) both parts were not identified by the TDF. The<br />

result <strong>of</strong> apply<strong>in</strong>g the structure based and the image based group<strong>in</strong>g/l<strong>in</strong>kage approaches<br />

on this datasets results <strong>in</strong> the extracted structures shown <strong>in</strong> Fig. 3.4(d) and (e). The image<br />

based approach was able to extract a valid l<strong>in</strong>k <strong>in</strong> case <strong>of</strong> the stenosis. However, it was<br />

not able to identify a connection to the completely blocked airway branch. The structure<br />

based approach on the other hand was able to cope with all these severe disturbances.<br />

3.4.2 Centerl<strong>in</strong>e Accuracy<br />

In this section, we study the achievable centerl<strong>in</strong>e accuracy with previously presented<br />

group<strong>in</strong>g and l<strong>in</strong>kage methods. We present results achieved on cl<strong>in</strong>ical datasets and compare<br />

them quantitatively and qualitatively to other methods with similar objectives. We<br />

will show two th<strong>in</strong>gs. First, our presented image based approach that utilizes the properties<br />

<strong>of</strong> the GVF (Section 3.3) is able to extract medial curves that stay centered <strong>in</strong><br />

complicated cases where conventional TDFs and non-image based l<strong>in</strong>kage strategies have<br />

problems. We do this by compar<strong>in</strong>g the results achieved with the GVF-based approach<br />

to results achieved with the structure based approach and to the results achieved with<br />

another approach by Krissian et al. [18, 70] that extracts medial curves directly from the<br />

gray value images . Second, the accuracy <strong>of</strong> the centerl<strong>in</strong>es extracted with the GVF-based<br />

approach is comparable to those achieved with pure skeletonization approaches from accurate<br />

segmentations. We do this by compar<strong>in</strong>g the results <strong>of</strong> our GVF-based approach to<br />

the skeletons extracted with three different skeletonization approaches [15, 53, 110] from<br />

known gold standards (available segmentations <strong>of</strong> the <strong>in</strong>terest<strong>in</strong>g structures).<br />

Datasets and methods: The two cl<strong>in</strong>ical datasets we use for evaluation show an airway<br />

tree (see Fig. 3.5) and a contrast CT <strong>of</strong> an aorta conta<strong>in</strong><strong>in</strong>g a severe stenosis due<br />

to calcification (see Fig. 3.6). <strong>Segmentation</strong>s <strong>of</strong> the bronchial tree and the aorta were<br />

available. The segmentation <strong>of</strong> the aorta follows the <strong>in</strong>terior <strong>of</strong> the aorta exclud<strong>in</strong>g the<br />

calcifications.

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