Analysis of AneuRisk65 data: Internal carotid artery shape analysis

Electronic Journal of Statistics

Volumn , Issue 1, 2014, Pages 1905-1913

  Cheng, Wen ^a   Dryden, Ian L ^b   Hitchcock, David B ^a   Le, Huiling ^b  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Alignment; Bootstrap; Curvature; Permutation; Procrustes; Registration; Shape; Size and shape; Torsion

Indexed keywords

EID: 84908702380     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/14-EJS938B     Document Type: Article

References (11)

1. Amaral, G. J. A., Dryden, I. L., and Wood, A. T. A. (2007). Pivotal bootstrap methods for k-sample problems in directional statistics and shape analysis. J. Amer. Statist. Assoc., 102(478):695–707. MR2370861
2. Dryden, I. L. (2013). shapes: Statistical shape analysis. R package version 1.1-9.
3. Dryden, I. L., Hirst, J. D., and Melville, J. L. (2007). Statistical analysis of unlabeled point sets: Comparing molecules in chemoinformatics. Biometrics, 63(1):237–251, 315. MR2345594
4. Dryden, I. L. and Mardia, K. V. (1998). Statistical Shape Analysis. Wiley, Chichester. MR1646114
5. Goodall, C. R. (1991). Procrustes methods in the statistical analysis of shape (with discussion). Journal of the Royal Statistical Society, Series B, 53:285–339. MR1108330
6. Gower, J. C. (1975). Generalized Procrustes analysis. Psychometrika, 40:33–50. MR0405725
7. Kendall, D. G. (1989). A survey of the statistical theory of shape (with discussion). Statistical Science, 4:87–120. MR1007558
8. Kent, J. T. and Mardia, K. V. (2001). Shape, Procrustes tangent projections and bilateral symmetry. Biometrika, 88(2):469–485. MR1844846
9. Le, H.-L. (1995). Mean size-and-shapes and mean shapes: A geometric point of view. Advances in Applied Probability, 27:44–55. MR1315576
10. Sangalli, L. M., Secchi, P., Vantini, S., and Veneziani, A. (2014). AneuRisk65: A dataset of three-dimensional cerebral vascular geometries. Electronic Journal of Statistics, 8:1879–1890, Special Section on Statistics of Time Warpings and Phase Variations.
11. Srivastava, A., Klassen, E., Joshi, S. H., and Jermyn, I. H. (2011). Shape analysis of elastic curves in Euclidean spaces. IEEE Trans. Pattern Anal. Mach. Intell, 33(7):1415–1428.