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

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xviii<br />

LIST OF FIGURES<br />

4.2 Shape prior for the constra<strong>in</strong>ed graph cut segmentation. . . . . . . . . . . . 69<br />

4.3 <strong>Segmentation</strong> <strong>of</strong> an airway tree. . . . . . . . . . . . . . . . . . . . . . . . . . 72<br />

4.4 <strong>Segmentation</strong> <strong>of</strong> a diseased abdom<strong>in</strong>al aorta <strong>in</strong> a contrast enhanced CT<br />

dataset. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73<br />

4.5 <strong>Segmentation</strong> <strong>of</strong> an airway tree. . . . . . . . . . . . . . . . . . . . . . . . . . 75<br />

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

<strong>in</strong>termediate process<strong>in</strong>g results. . . . . . . . . . . . . . . . . . . . . . . . . . 79<br />

5.2 Rigid plastic “vessel” tree and image slices <strong>of</strong> the result<strong>in</strong>g phantom datasets<br />

for vary<strong>in</strong>g backgrounds and scann<strong>in</strong>g resolutions. . . . . . . . . . . . . . . 82<br />

5.3 Percentage <strong>of</strong> undetected tubes (false negatives) for vary<strong>in</strong>g contrast situations,<br />

scan resolutions, and tube diameters. . . . . . . . . . . . . . . . . . . 84<br />

5.4 <strong>Segmentation</strong> error (relative tube diameter error) for vary<strong>in</strong>g contrast situations,<br />

scan resolutions, and tube diameters. . . . . . . . . . . . . . . . . . . 85<br />

5.5 Interactive visualization for evaluation <strong>of</strong> liver vasculature tree segmentation. 87<br />

5.6 Unsegmented vessel (arrow) found by the radiologist. . . . . . . . . . . . . 89<br />

5.7 Unsuccessfully detected portal artery. . . . . . . . . . . . . . . . . . . . . . 89<br />

5.8 Successful segmentation <strong>of</strong> poorly contrasted hepatic vessels (arrow). . . . . 90<br />

5.9 Successful segmentation <strong>of</strong> vessels <strong>in</strong> close proximity <strong>of</strong> a bright tumor. . . . 90<br />

5.10 Wrong vessel connection identified by radiologist. . . . . . . . . . . . . . . . 91<br />

5.11 Relation between image contrast and length <strong>of</strong> the extracted portal ve<strong>in</strong>s<br />

and hepatic ve<strong>in</strong>s <strong>of</strong> the liver. . . . . . . . . . . . . . . . . . . . . . . . . . . 91<br />

5.12 Separation and segmentation <strong>of</strong> liver vessel trees <strong>in</strong> a contrast enhanced CT<br />

dataset with different methods. . . . . . . . . . . . . . . . . . . . . . . . . . 92<br />

6.1 Centerl<strong>in</strong>e extraction and vascular tree reconstruction. . . . . . . . . . . . . 99<br />

6.2 Tube detection step on coronary CT. . . . . . . . . . . . . . . . . . . . . . . 101<br />

6.3 Extracted coronary artery trees and provided reference centerl<strong>in</strong>es. . . . . . 103<br />

6.4 Centerl<strong>in</strong>e extraction at the proximal end <strong>of</strong> the conoary artery conta<strong>in</strong><strong>in</strong>g<br />

a calcification. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107<br />

7.1 Example <strong>of</strong> <strong>in</strong>itial vector field magnitude and GVF field magnitude on a<br />

thorax CT dataset. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111<br />

7.2 Intermediate results <strong>of</strong> the GVF-based tube centerl<strong>in</strong>e extraction method. . 112<br />

7.3 Inverse gradient flow track<strong>in</strong>g tube segmentation applied to extracted tubular<br />

structures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112<br />

7.4 Illustration <strong>of</strong> the process<strong>in</strong>g steps <strong>of</strong> the airway tree reconstruction approach.114<br />

7.5 “<strong>Tree</strong> length detected” vs. “false positive rate” for different airway tree extraction<br />

methods based on [88]. To ascribe the <strong>in</strong>dividual methods numbers<br />

to the correspond<strong>in</strong>g publication see Table 7.3. . . . . . . . . . . . . . . . . 119<br />

7.6 Examples <strong>of</strong> segmentation results on the EXACT09 database us<strong>in</strong>g the<br />

GVF-based method. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123

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