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

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6.3. Evaluation and Results 103<br />

– by follow<strong>in</strong>g the centerl<strong>in</strong>e <strong>in</strong>to both directions, at junctions <strong>of</strong> multiple vessels choos<strong>in</strong>g<br />

the centerl<strong>in</strong>e with the smaller branch<strong>in</strong>g angle.<br />

(a) Extracted coronary artery trees.<br />

(b) Reference centerl<strong>in</strong>es.<br />

Figure 6.3: Extracted coronary artery trees and provided reference centerl<strong>in</strong>es. For visualizations<br />

just the image regions <strong>in</strong> proximity to the coronary artery trees are shown.<br />

At the proximal ends <strong>of</strong> the coronary arteries – the transition to the aorta – the<br />

centerl<strong>in</strong>es extracted with our approach are sometimes slightly shorter than the reference<br />

centerl<strong>in</strong>es (see Fig. 6.4). This is due to properties <strong>of</strong> the tube detection filter as these<br />

regions are not really tubular any more. To account for this issue (see the ”overlap until<br />

first error” measure <strong>in</strong> Section 6.3.1), the proximal ends <strong>of</strong> the centerl<strong>in</strong>es are extrapolated<br />

along a straight l<strong>in</strong>e, solv<strong>in</strong>g this issue <strong>in</strong> most datasets, but not all <strong>of</strong> them.<br />

In the next two sections, we present quantitative results achieved with our method<br />

on the 24 test<strong>in</strong>g datasets. For comparison, results achieved with other methods are<br />

summarized and discussed as well. The quantative measures were obta<strong>in</strong>ed by the “Rotterdam<br />

Coronary Artery Algorithm Evaluation Framework” and are available onl<strong>in</strong>e at<br />

http://coronary.bigr.nl.<br />

6.3.1 Results <strong>of</strong> Proposed Method<br />

The performance measures are grouped <strong>in</strong>to overlap measures and an accuracy measure.<br />

For the exact description <strong>of</strong> the performance evaluation and the used measures we refer<br />

to the paper <strong>of</strong> Shaap et al. [124]. The results are summarized <strong>in</strong> Table. 6.1.<br />

Overlap: The overlap measures are used to assess the ability <strong>of</strong> the approach to identify<br />

the structures <strong>of</strong> <strong>in</strong>terest. Measures are the overlap OV , the overlap until first error

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