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

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Chapter 4<br />

Tube <strong>Segmentation</strong><br />

Contents<br />

4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65<br />

4.2 Inverse Gradient Vector Flow Track<strong>in</strong>g . . . . . . . . . . . . . . 66<br />

4.3 Graph Cut Based <strong>Tree</strong> <strong>Segmentation</strong> . . . . . . . . . . . . . . . 68<br />

4.4 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70<br />

4.5 Discussion and Conclusion . . . . . . . . . . . . . . . . . . . . . . 74<br />

4.1 Introduction<br />

In the last two chapters, we presented methods for the extraction <strong>of</strong> structural representations<br />

<strong>of</strong> tubular tree structures. The derived representations consist <strong>of</strong> centerl<strong>in</strong>es/skeletons<br />

usually associated with a radius and tangent direction estimate for each<br />

centerl<strong>in</strong>e po<strong>in</strong>t. Such a representation can be seen as a segmentation result [18, 68],<br />

however, this <strong>in</strong>formation does not accurately represent the actual surfaces <strong>of</strong> the tubular<br />

objects. The known structures could be utilized as a good <strong>in</strong>itialization for a segmentation<br />

method (e.g., levelsets) to obta<strong>in</strong> more accurate segmentations. However, most segmentation<br />

methods do not necessarily preserve the topology <strong>of</strong> the already known tree structure<br />

as the methods may still show leakage (additional branches <strong>in</strong> the tree) or holes/gaps <strong>in</strong><br />

the segmentation results (unconnected branches <strong>in</strong> the tree). In this chapter, we are concerned<br />

with methods to obta<strong>in</strong> accurate segmentations related to already known tubular<br />

structures that make use <strong>of</strong> the already known <strong>in</strong>formation <strong>in</strong> such a way that the topology<br />

is preserved.<br />

65

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