## An airway tree-shape model for geodesic airway branch labeling

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

#### Standard

**An airway tree-shape model for geodesic airway branch labeling.** / Feragen, Aasa; Lo, Pechin Chien Pau; Gorbunova, Vladlena; Nielsen, Mads; Dirksen, Asger; Reinhardt, Joseph M.; Lauze, Francois Bernard; de Bruijne, Marleen.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

#### Harvard

*MFCA 2011: 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy.*pp. 123-134, 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy, Toronto, Canada, 22/09/2011. <https://www-sop.inria.fr/asclepios/events/MFCA11/Proceedings/MFCA11_Proceedings.pdf>

#### APA

*MFCA 2011: 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy*(pp. 123-134) https://www-sop.inria.fr/asclepios/events/MFCA11/Proceedings/MFCA11_Proceedings.pdf

#### Vancouver

#### Author

#### Bibtex

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#### RIS

TY - GEN

T1 - An airway tree-shape model for geodesic airway branch labeling

AU - Feragen, Aasa

AU - Lo, Pechin Chien Pau

AU - Gorbunova, Vladlena

AU - Nielsen, Mads

AU - Dirksen, Asger

AU - Reinhardt, Joseph M.

AU - Lauze, Francois Bernard

AU - de Bruijne, Marleen

N1 - Conference code: 3

PY - 2011

Y1 - 2011

N2 - We present a mathematical airway tree-shape framework where airway trees are compared using geodesic distances. The framework consists of a rigorously dened shape space for treelike shapes, endowed with a metric such that the shape space is a geodesic metric space. This means that the distance between two tree-shapes can be realized as the length of the geodesic, or shortest deformation, connecting the two shapes. By computing geodesics between airway trees, as well as the corresponding airway deformation, we generate airway branch correspondences. Correspondences between an unlabeled airway tree and a set of labeled airway trees are combined with a voting scheme to perform automatic branch labeling of segmented airways from the challenging EXACT'09 test set. In spite of the varying quality of the data, we obtain robust labeling results.

AB - We present a mathematical airway tree-shape framework where airway trees are compared using geodesic distances. The framework consists of a rigorously dened shape space for treelike shapes, endowed with a metric such that the shape space is a geodesic metric space. This means that the distance between two tree-shapes can be realized as the length of the geodesic, or shortest deformation, connecting the two shapes. By computing geodesics between airway trees, as well as the corresponding airway deformation, we generate airway branch correspondences. Correspondences between an unlabeled airway tree and a set of labeled airway trees are combined with a voting scheme to perform automatic branch labeling of segmented airways from the challenging EXACT'09 test set. In spite of the varying quality of the data, we obtain robust labeling results.

M3 - Article in proceedings

SP - 123

EP - 134

BT - MFCA 2011

A2 - Pennec, Xavier

A2 - Joshi, Sarang

A2 - Nielsen, Mads

T2 - 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy

Y2 - 22 September 2011 through 22 September 2011

ER -

ID: 33806920