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

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

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Contents<br />

1 Introduction 1<br />

1.0.1 Requirements and Problems . . . . . . . . . . . . . . . . . . . . . . . 3<br />

1.0.2 Representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3<br />

1.0.3 Evaluation Issues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5<br />

1.1 Related Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6<br />

1.1.1 Models, Features, and Extraction Schemes . . . . . . . . . . . . . . . 7<br />

1.1.2 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10<br />

1.1.3 Vessel M<strong>in</strong><strong>in</strong>g . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10<br />

1.2 A General Approach for <strong>Segmentation</strong> <strong>of</strong> Branched <strong>Tubular</strong> Networks . . . 11<br />

1.3 Overview and Contributions <strong>of</strong> the Work . . . . . . . . . . . . . . . . . . . . 13<br />

2 Extraction <strong>of</strong> <strong>Tubular</strong> <strong>Structures</strong> 17<br />

2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17<br />

2.2 Tube Detection Filters <strong>in</strong> Gaussian Scale Space . . . . . . . . . . . . . . . . 18<br />

2.2.1 Central Medialness Functions . . . . . . . . . . . . . . . . . . . . . . 19<br />

2.2.2 Offset Medialness Functions . . . . . . . . . . . . . . . . . . . . . . . 21<br />

2.3 Tube Detection us<strong>in</strong>g Gradient Vector Flow . . . . . . . . . . . . . . . . . . 23<br />

2.3.1 Comb<strong>in</strong>ation with Central Medialness Function . . . . . . . . . . . . 27<br />

2.3.2 Comb<strong>in</strong>ation with Offset Medialness Function . . . . . . . . . . . . . 27<br />

2.3.3 Adaption to Vary<strong>in</strong>g Background Conditions . . . . . . . . . . . . . 28<br />

2.4 Centerl<strong>in</strong>e Extraction us<strong>in</strong>g Ridge Traversal . . . . . . . . . . . . . . . . . . 30<br />

2.5 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31<br />

2.5.1 Synthetical Datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />

2.5.2 Cl<strong>in</strong>ical Datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37<br />

2.6 Discussion and Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39<br />

3 Group<strong>in</strong>g and L<strong>in</strong>kage <strong>in</strong>to Connected Networks 47<br />

3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47<br />

3.2 Structure Based Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49<br />

3.3 Image Based Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51<br />

3.4 Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54<br />

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