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

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5.2. Method 79<br />

(a) MIP <strong>of</strong> the<br />

dataset us<strong>in</strong>g a liver<br />

mask.<br />

(b) F<strong>in</strong>al segmentation<br />

<strong>of</strong> all trees.<br />

(c) TDF response.<br />

(d) Extracted tubular<br />

structures.<br />

(e) Reconstructed tree structures.<br />

(f) Segmented trees.<br />

Figure 5.1: <strong>Segmentation</strong> <strong>of</strong> liver vasculature trees from a contrast CT dataset with <strong>in</strong>termediate<br />

process<strong>in</strong>g results.<br />

The results <strong>of</strong> the TDF response and the so extracted tubular structures are shown <strong>in</strong><br />

Fig. 5.1(c) and (d), respectively. The method allows extraction <strong>of</strong> all tubular objects<br />

without false positives due to image noise. However, the centerl<strong>in</strong>es break up at junction<br />

areas and the method can not dist<strong>in</strong>guish between parts <strong>of</strong> the different vessel trees.<br />

Group<strong>in</strong>g and l<strong>in</strong>kage: To separate the different vessel trees and to close gaps between<br />

the <strong>in</strong>dividual tubular structures, the structure based group<strong>in</strong>g and l<strong>in</strong>kage method with<br />

the verification <strong>of</strong> the connection path based on gray value <strong>in</strong>formation as presented <strong>in</strong><br />

Section 3.2 is used. The method requires a seed po<strong>in</strong>t for each <strong>of</strong> the vessels trees at the<br />

root <strong>of</strong> the tubular tree structure as well as the flow direction <strong>of</strong> each tree. To obta<strong>in</strong><br />

such seed po<strong>in</strong>ts <strong>in</strong> case <strong>of</strong> a liver masks follow<strong>in</strong>g observation can be used to specify the<br />

tree roots fully automatically. The tubular tree structures enter the organ and branch<br />

recursively, whereby their radius decreases and they never exit the organ. Therefore, all<br />

tubular structures <strong>in</strong> the dataset that pass through the surface <strong>of</strong> the provided organ mask<br />

are roots <strong>of</strong> trees. However, <strong>in</strong> case such an organ mask is not provided, the roots <strong>of</strong> the

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