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Procrustes Problems$
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John C Gower and Garmt B Dijksterhuis

Print publication date: 2004

Print ISBN-13: 9780198510581

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198510581.001.0001

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Generalised Procrustes problems

Generalised Procrustes problems

(p.103) 9 Generalised Procrustes problems
Procrustes Problems

J. C. Gower

G. B. Dijksterhuis

Oxford University Press

This chapter is concerned with generalizations where the two sets of configurations X1 and X2 are replaced by K sets, X1 , X2 ,..., XK , each with its own transformation matrix T1 ,..., Tk . All the variants of two-sets Procrustes problems generalize. Different choices of Tk , scaling, weighting, and the optimization criteria are discussed.

Keywords:   generalized Procrustes analysis, projection Procrustes, scaling, weighting, optimization

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