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Procrustes Problems$
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Procrustes Problems

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

Chapter:
(p.103) 9 Generalised Procrustes problems
Source:
Procrustes Problems
Author(s):

J. C. Gower

G. B. Dijksterhuis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198510581.003.0009

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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