Means in spaces of tree-like shapes

Proceedings of the IEEE International Conference on Computer Vision

Volumn , Issue , 2011, Pages 739-746

  Feragen, Aasa ^a   Hauberg, Søren ^a   Nielsen, Mads ^a   Lauze, François ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

DATA SETS; EUCLIDEAN SPACES; EXPERIMENTAL EVALUATION; EXPERIMENTAL STUDIES; HUMAN AIRWAY; HUMAN ANATOMY; LEAF MORPHOLOGY; LOCAL EXISTENCE; METRIC SPACES; SINGLE POINT; SUBTREES; TREE-LIKE STRUCTURES; TREE-STRUCTURED DATA; VASCULARIZATION;

ALGORITHMS; IMAGE PROCESSING; MEDICAL IMAGING;

FORESTRY;

ALGORITHMS; COMPUTATION; DATA BASES; IMAGE ANALYSIS;

EID: 84856688011     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCV.2011.6126311     Document Type: Conference Paper

References (18)

1. L. J. Billera, S. P. Holmes, and K. Vogtmann. Geometry of the space of phylogenetic trees. Adv. In Appl. Math., 27(4):733-767, 2001. 2, 4
2. M. R. Bridson and A. Haefliger. Metric spaces of nonpositive curvature. Springer-Verlag, 1999. 2, 3, 5
3. F. Demirci, A. Shokoufandeh, and S. Dickinson. Skeletal shape abstraction from examples. PAMI, 31(5):944-952, 2009. 2
4. A. Feragen, F. Lauze, P. Lo, M. de Bruijne, and M. Nielsen. Geometries in spaces of treelike shapes. In ACCV, pages 671-684, 2010. 2, 3, 6
5. M. Ferrer, E. Valveny, F. Serratosa, K. Riesen, and H. Bunke. Generalized median graph computation by means of graph embedding in vector spaces. Pattern Recognition, 43(4):1642-1655, 2010. 1
6. P. T. Fletcher, C. Lu, S. M. Pizer, and S. Joshi. Principal geodesic analysis for the study of nonlinear statistics of shape. TMI, 23:995-1005, 2004. 2
7. A. S. Foster and H. J. Arnott. Morphology and dichotomous vasculature of the leaf of kingdonia uniflora. American Journal of Botany, 47(8):pp. 684-698, 1960. 7
8. M. Gromov. Hyperbolic groups. Essays in group theory, 8:75-263, 1987. 2, 3
9. S. Huckemann, T. Hotz, and A. Munk. Intrinsic shape analysis: Geodesic PCA for Riemannian manifolds modulo isometric Lie group actions. Stat. Sinica, 20(1):1-58, 2010. 2
10. B. Jain and K. Obermayer. Large sample statistics in the domain of graphs. In SSPR, volume 6218 of LNCS, pages 690-697. 2010. 1, 8
11. H. Karcher. Riemannian center of mass and mollifier smoothing. Communications on Pure and Applied Mathematics, 30(5):509-541, 1977. 1, 2
12. P. Klein, S. Tirthapura, D. Sharvit, and B. Kimia. A tree-editdistance algorithm for comparing simple, closed shapes. In SODA, pages 696-704, 2000. 1, 2
13. P. Lo, J. Sporring, H. Ashraf, J. J. Pedersen, and M. de Bruijne. Vessel-guided airway tree segmentation: A voxel classification approach. MEDIA, 14(4):527-538, 2010. 7
14. J. H. Metzen, T. Kröger, A. Schenk, S. Zidowitz, H.-O. Peitgen, and X. Jiang. Matching of anatomical tree structures for registration of medical images. Im. Vis. Comp., 27:923-933, 2009. 2
15. J. H. Pedersen, H. Ashraf, A. Dirksen, K. Bach, H. Hansen, P. Toennesen, H. Thorsen, J. Brodersen, B. G. Skov, M. Dssing, J. Mortensen, K. Richter, P. Clementsen, and N. Seersholm. The Danish randomized lung cancer CT screening trial-overall design and results of the prevalence round. J Thorac Oncol, 4(5):608-614, May 2009. 7
16. K. Riesen and H. Bunke. Graph classification based on vector space embedding. Int. Journal of Pattern Recognition & Artificial Intelligence, 23(6):1053-1081, 2009. 1
17. N. Trinh and B. Kimia. Learning prototypical shapes for object categories. CVPR Workshops, pages 1-8, 2010. 1, 2, 5
18. J. Tschirren, G. McLennan, K. Palágyi, E. A. Hoffman, and M. Sonka. Matching and anatomical labeling of human airway tree. TMI, 24(12):1540-1547, 2005. 2