The statistical analysis of shape data. (English) Zbl 0666.62056

Mardia, K. V.; Dryden, I. L.

Biometrika 76, No. 2, 271-281 (1989).

The paper deals with the statistical shape analysis of landmark data. F. L. Bookstein [Stat. Sci. 1, 181-242 (1986; Zbl 0614.62144)] introduced a plausible model and obtained a useful normal approximation for three landmarks. We use exact distribution theory and a normal approximation to consider maximum likelihood estimation. The Fisher information matrix for the normal approximation is given and we consider the hypothesis of shape change. Using these results, we analyse a practical example based on digitized shapes. This example motivated the work and the general direction for future work is indicated.

MSC:

62H12	Estimation in multivariate analysis
62H10	Multivariate distribution of statistics
62P99	Applications of statistics
62E20	Asymptotic distribution theory in statistics

Keywords:

image analysis; likelihood ratio; shape density; shape analysis of landmark data; normal approximation; maximum likelihood estimation; Fisher information matrix; hypothesis of shape change; digitized shapes

Citations:

Zbl 0614.62144