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Biometrika 2003 90(3):669-678; doi:10.1093/biomet/90.3.669
© 2003 by Biometrika Trust
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Assessing landmark influence on shape variation

Michael H.Albert1, Huiling Le2 and Christopher G.Small3

1 Department of Computer Science, University of Otago, PO Box 56, Dunedin, New Zealandmalbert{at}cs.otago.ac.nz 2 School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, U.K.huiling.le{at}nottingham.ac.uk 3 Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada. cgsmall{at}icarus.math.uwaterloo.ca

Given two sets of landmark data which differ in shape, it is useful to determine the extent to which shape variation can be explained by the perturbations of individual landmarks.We propose a method for assessing this, based on analysing the relative reduction in distance between the shapes that can be achieved by varying the location of a single landmark. This method is applied to a set of landmark data from the cervical vertebrae of two subspecies of gorillas.

Key Words: Horizontal geodesic; Landmark; Procrustes mean; Shape; Shape difference; Shape distance; Weight function

Received April 2002. Revised January 2003


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