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Procrustes Procedures

In: Multidimensional Similarity Structure Analysis

Author

Listed:
  • I. Borg

    (Justus-Liebig-Universität, Department of Psychology)

  • J. Lingoes

    (University of Michigan, Computing Center)

Abstract

The Procrustes problem is concerned with fitting one configuration, Y, to another, X, as closely as possible. In the simplest case, X and Y have the same dimensionality and the same number of points which can be brought into a 1–1 correspondence by substantive considerations. Under orthogonal transformations, Y can only be rotated and reflected in order to approximate X. More general transformations consist of rigid motions and dilations of Y. In the oblique case, Y can also be distorted linearly. Further generalizations include an incompletely specified target configuration X, different dimensionalities of X and Y, and different numbers of points in X and Y.

Suggested Citation

  • I. Borg & J. Lingoes, 1987. "Procrustes Procedures," Springer Books, in: Multidimensional Similarity Structure Analysis, chapter 19, pages 309-328, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4768-5_19
    DOI: 10.1007/978-1-4612-4768-5_19
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