The statistical analysis of shape data

The paper deals with the statistical shape analysis of landmark data. Bookstein (1986) 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 inform...

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Bibliographic Details
Published in:Biometrika 1989-06, Vol.76 (2), p.271-281
Main Authors: MARDIA, K. V., DRYDEN, I. L.
Format: Article
Language:English
Subjects:
Applications
Approximation
Bones
Digitized shape
Exact sciences and technology
Fisher information
Geometric shapes
Image analysis
Landmark data
Landmarks
Likelihood ratio
Mathematics
Matrices
Maximum likelihood estimation
Maximum likelihood estimators
Probability and statistics
Random sampling
Sciences and techniques of general use
Shape change
Shape density
Standard error
Statistical analysis
Statistics
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Summary:The paper deals with the statistical shape analysis of landmark data. Bookstein (1986) 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.
ISSN:0006-3444
1464-3510
DOI:10.1093/biomet/76.2.271