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

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

3.4 Experiments<br />

In this section, we study the behavior <strong>of</strong> the previously presented group<strong>in</strong>g and l<strong>in</strong>kage<br />

methods (Section 3.2 and 3.3) with respect to the structural correctness <strong>of</strong> the tubular<br />

tree structures and with respect to the accuracy <strong>of</strong> the extracted curve skeletons.<br />

3.4.1 Structural Correctness<br />

To study properties <strong>of</strong> the method’s abilities to obta<strong>in</strong> the correct structure, both methods<br />

were applied for the task <strong>of</strong> airway tree reconstruction and liver vascular tree reconstruction/separation<br />

(Figs. 3.3 and 3.4). The tubular structures were obta<strong>in</strong>ed from the<br />

datasets us<strong>in</strong>g the GVF-based TDF with the <strong>of</strong>fset medialness function as presented <strong>in</strong><br />

Section 2.3.2. Organ masks were utilized to discard tubular structures <strong>in</strong> the datasets.<br />

For the structural tree reconstruction method (Section 3.2), the required root elements<br />

were selected manually.<br />

Ability to separate multiple <strong>in</strong>terwoven tubular tree structures: Fig. 3.3 show<br />

the results on a contrast enhanced liver CT dataset. Fig. 3.3(a) and (b) show the orig<strong>in</strong>al<br />

dataset and the extracted tubular structures respectively. The dataset conta<strong>in</strong>s the portal<br />

ve<strong>in</strong> tree and the hepatic ve<strong>in</strong> trees. Both <strong>of</strong> them have a comparable gray value <strong>in</strong> the<br />

datasets, and both appear overlapp<strong>in</strong>g <strong>in</strong> some areas due to partial volum<strong>in</strong>g. The dataset<br />

further shows a tumorous region adjacent to one <strong>of</strong> the vessels. As can be seen from the<br />

extracted tubular structures, the TDF was able to suppress the tumorous region, however,<br />

also the vessel adjacent to the tumor was not identified. Additionally, the centerl<strong>in</strong>es<br />

between the tubular structures break up <strong>in</strong> some areas (e.g. branch<strong>in</strong>g areas). Fig. 3.3(c)<br />

and (d) show the results <strong>of</strong> the image based and the structure based approach, respectively,<br />

show<strong>in</strong>g all tubular structures identified as part <strong>of</strong> the portal ve<strong>in</strong> tree <strong>in</strong> blue. As can be<br />

seen, the image based approach was able to close the gap <strong>in</strong> proximity <strong>of</strong> the tumor, but<br />

it was not able to dist<strong>in</strong>guish between the two vascular tree structures as both overlap <strong>in</strong><br />

the image doma<strong>in</strong>. Us<strong>in</strong>g the presented structure based approach avoids this problem and<br />

allows for a correct reconstruction and separation <strong>of</strong> the vascular trees.<br />

Impact <strong>of</strong> flow direction <strong>in</strong>formation on structural correctness: Contrary to<br />

other structure based approaches that perform a group<strong>in</strong>g <strong>of</strong> unconnected tubular structures<br />

<strong>in</strong>to complete tree structures, our method <strong>in</strong>corporates flow direction <strong>in</strong>formation<br />

(Section 3.2). To assess the impact <strong>of</strong> this additional <strong>in</strong>formation on robustness, we re-

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