Procrustes shape analysis of planar point subsets

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 59, Issue 2, 1997, Pages 353-374

  Dryden, Ian L ^a   Faghihi, Mohammad Reza ^a   Taylor, Charles C ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Delaunay triangulation; Muscle; Point pattern; Procrustes; Regularity; Shape; Size; Spatial statistics; Triangle

Indexed keywords

EID: 0000095918     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00072     Document Type: Article

References (19)

1. Bookstein, F. L. (1986) Size and shape spaces for landmark data in two dimensions (with discussion). Statist. Sci., 1, 181-242.
2. _(1991) Morphometric Tools for Landmark Data: Geometry and Biology. Cambridge: Cambridge University Press.
3. Cooper, W., Goodall, C. R., Suryawanshi, S. and Tan, H. (1995) Euclidean shape tensor analysis. In Current Issues in Statistical Shape Analysis (eds K. V. Mardia and C. A. Gill), pp. 179-180. Leeds: University of Leeds.
4. Dryden, I. L. and Mardia, K. V. (1991) General shape distributions in a plane. Adv. Appl. Probab., 23, 259-276.
5. Dubowitz, V. (1985) Muscle Biopsy: a Practical. London: Baillière Tindal.
6. Edwards, R. H. T. (1971) Percutaneous needle biopsy of skeletal muscle in diagnosis and research. Lancet, ii, 593-596.
7. Faghihi, M. R. (1996) Shape analysis of spatial point patterns. PhD Thesis. University of Leeds, Leeds.
8. Goodall, C. (1991) Procrustes methods in the statistical analysis of shape (with discussion). J. R. Statist. Soc. B, 53, 285-339.
9. _ (1995) Procrustes methods in the statistical analysis of shape revisited. In Current Issues in Statistical Shape Analysis (eds K. V. Mardia and C. A. Gill), pp. 18-33. Leeds: University of Leeds.
10. Goodall, C. R. and Lange, N. (1989) Growth curve models for correlated triangular shapes. In Computer Science and Statistics: Proc. 21st Symp. Interface, pp. 445-454. Alexandria: American Statistical Association.
11. Goodall, C. R. and Mardia, K. V. (1993) Multivariate aspects of shape theory. Ann. Statist., 21, 848-866.
12. Goodman, N. R. (1963) Statistical analysis based on a certain multivariate complex Gaussian distribution (an introduction). Ann. Math. Statist., 34, 152-177.
13. Gough, J. J. (1989) Statistical techniques for biological image analysis. PhD Thesis. University of Leeds, Leeds.
14. Gower, J. C. (1975) Generalized Procrustes analysis. Psychometrika, 40, 33-50.
15. Green, P. J. and Sibson, R. (1977) Computing Dirichlet tessellations in the plane. Comput. J., 21, 168-173.
16. Henriksson, K. G. (1979) "Semi-open" muscle biopsy technique: a simple outpatient procedure. Acta Neur. Scand., 59, 317-323.
17. Stoyan, D., Kendall, W. S. and Mecke, J. (1995) Stochastic Geometry and Its Applications, 2nd edn. Chichester: Wiley.
18. Walton, J. (1981) Disorders of Voluntary Muscle. London: Churchill Livingston.
19. Welch, B. L. (1947) The generalization of 'Student's' problem when several different populations are involved. Biometrika, 34, 28-35.