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

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102 Chapter 6. Coronary Artery <strong>Tree</strong> Extraction<br />

what forms a k<strong>in</strong>d <strong>of</strong> coned region (with an open<strong>in</strong>g angle specified by ρ) po<strong>in</strong>t<strong>in</strong>g away<br />

from the centerl<strong>in</strong>e where the method searches for cont<strong>in</strong>uations; potential connections<br />

with too large costs C > c max are discarded. The f<strong>in</strong>al reconstructed trees (after removal<br />

<strong>of</strong> the non-coronary artery trees; see next paragraph) is shown <strong>in</strong> Fig. 6.1(e).<br />

Coronary artery tree identification: The method as described above also extracts<br />

the centerl<strong>in</strong>es <strong>of</strong> other tubular objects (see Fig. 6.1). Thus, not just the coronary arteries<br />

are identified, but also other structures such as blood vessels <strong>in</strong> the lung and chest area,<br />

the aorta and also some <strong>of</strong> the bones and an identification <strong>of</strong> the coronary artery trees is<br />

necessary. The lung tissue is identified and removed based on threshold<strong>in</strong>g (I(x) < −700<br />

HU) and morphological clos<strong>in</strong>g us<strong>in</strong>g a spherical structur<strong>in</strong>g element with a radius <strong>of</strong> 10<br />

voxels; see Fig. 6.1(c) for the TDF response after removal <strong>of</strong> the lung tissue. Other tree<br />

structures not belong<strong>in</strong>g to the coronary artery trees are typically isolated and relatively<br />

small. Thus, the coronary artery trees can be identified as the two largest connected<br />

components (regard<strong>in</strong>g their centerl<strong>in</strong>e length). An example <strong>of</strong> the identified coronary<br />

artery trees is shown <strong>in</strong> Fig. 6.1(e).<br />

Parameters: Follow<strong>in</strong>g set <strong>of</strong> parameters is used to process the datasets. F max = 100,<br />

t high = 0.5, t low = 0.1, and l m<strong>in</strong> = 10 voxels for the extraction <strong>of</strong> tubular structures with<br />

µ = 5 and 500 iterations for the GVF computation [168] and ρ = 0.7, d max = 200 HU,<br />

and c max = 20 for the group<strong>in</strong>g and l<strong>in</strong>kage.<br />

6.3 Evaluation and Results<br />

Our approach was evaluated on 32 coronary CTA datasets from the “Rotterdam Coronary<br />

Artery Algorithm Evaluation Framework” (http://coronary.bigr.nl), whose goal is<br />

the quantitative evaluation and comparison <strong>of</strong> methods for the coronary artery centerl<strong>in</strong>e<br />

extraction based on a set <strong>of</strong> well def<strong>in</strong>ed performance measures. The datasets are split<br />

<strong>in</strong> two groups <strong>of</strong> 8 tra<strong>in</strong><strong>in</strong>g datasets with provided reference where the parameters have<br />

been adapted and 24 test<strong>in</strong>g datasets with undisclosed reference centerl<strong>in</strong>es. For each <strong>of</strong><br />

the datasets, reference centerl<strong>in</strong>es <strong>of</strong> four vessels are available that were obta<strong>in</strong>ed based on<br />

manual annotation and reference po<strong>in</strong>ts that unambiguously identify the correspond<strong>in</strong>g<br />

vessels. In Fig. 6.3 the coronary artery trees and provided reference centerl<strong>in</strong>es are shown.<br />

Based on these provided reference po<strong>in</strong>ts the centerl<strong>in</strong>es <strong>of</strong> the associated arteries were<br />

selected from the coronary artery trees – which are extracted completely with our approach

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