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

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10 Chapter 1. Introduction<br />

1.1.2 Discussion<br />

The above presented techniques address the segmentation <strong>of</strong> vascular/airway structures<br />

<strong>in</strong> general, and not necessarily whole tubular tree structures. Consider<strong>in</strong>g these techniques<br />

with respect to the requirements and problems we aim at address<strong>in</strong>g <strong>in</strong> this work<br />

(Section 1.0.1), one ga<strong>in</strong>s <strong>in</strong>sight <strong>in</strong>to the challenges <strong>of</strong> this problem.<br />

Identify<strong>in</strong>g an appropriate vessel/airway model that is valid <strong>in</strong> all possible<br />

cases is a non-trivial task, <strong>in</strong> particular when one considers pathology like<br />

stonsis/aneurysms/calcifications or simple bifurcations where the appearance and/or<br />

geometry <strong>of</strong> the tubular structures is disturbed. Also cases <strong>of</strong> local disturbances such<br />

as imag<strong>in</strong>g/motion artifacts or partly overlapp<strong>in</strong>g image structures with the same<br />

gray-value (e.g. adjacent tumors or multiple partly overlapp<strong>in</strong>g vessel trees) are difficult<br />

to model. For these reasons, it seems illusory to identify a model that is valid <strong>in</strong> all cases.<br />

This becomes a problem when comb<strong>in</strong>ed with the discussed extraction schemes. While<br />

the pre-process<strong>in</strong>g methods are typically applied voxel-wise, an <strong>in</strong>adequate model leads<br />

to fragmented outputs, with false positive and false negative detections. The presented<br />

extraction schemes (region-grow<strong>in</strong>g, active-contour, and centerl<strong>in</strong>e-track<strong>in</strong>g methods) all<br />

require appropriate <strong>in</strong>itializations and basically merge neighbor<strong>in</strong>g voxels or extend a<br />

known centerl<strong>in</strong>e accord<strong>in</strong>g to the model. In case <strong>of</strong> conservative model assumptions this<br />

easily leads to premature term<strong>in</strong>ation <strong>of</strong> the (iterative) extension process, while <strong>in</strong> case <strong>of</strong><br />

weak model assumptions the methods are prone to leakage. Methods based on m<strong>in</strong>imal<br />

path-techniques show a higher robustness aga<strong>in</strong>st such local failures <strong>of</strong> an <strong>in</strong>adequate<br />

model. However, they require appropriate start- and end-po<strong>in</strong>ts for each vessel. For<br />

heavily branched tubular tree structures this is a practically <strong>in</strong>feasible task.<br />

In case <strong>of</strong> failure, the segmentation errors (under/over segmentation) that result<br />

from local model-<strong>in</strong>adequateness may have a strong <strong>in</strong>fluence on the result<strong>in</strong>g<br />

structure/topology <strong>of</strong> the segmented tubular trees. This is problematic, s<strong>in</strong>ce the<br />

structural <strong>in</strong>formation is <strong>of</strong> vital <strong>in</strong>terest for several applications (Section 1.0.1).<br />

1.1.3 Vessel M<strong>in</strong><strong>in</strong>g<br />

To address some <strong>of</strong> the problems mentioned above, Beichel et al. [10] proposed a concept to<br />

enhance the robustness <strong>of</strong> vessel segmentation approaches aga<strong>in</strong>st local disturbances. The<br />

idea beh<strong>in</strong>d the concept that they termed “vessel m<strong>in</strong><strong>in</strong>g” is: “first identify all potential<br />

tubular structures <strong>in</strong> the search volume and then reconnect the found tube structures<br />

based on def<strong>in</strong>ed criteria like for example gray-value evidence” [10]. This approach was

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