Procrustean problems

Play: A Procrustean Probe

The brigand Procrustes dispatched his victims by stretching or trimming their bodies in order that they be made to fit his bed. Considered as a scientific theory, McLuhan’s four “laws of media” risk violating research in a dangerously Procrustean manner. Conceived as an exploratory probe, however, his “tetrad” can provide illuminating insights into the social and psychological effects of indivi...

The Procrustean beds of children's palliative care.

Procrustean statistical inference of deformations

A two step method has been devised for the statistical inference of deformation changes. In the first step of this method and based on Procrustes analysis of deformation tensors, the significance of the change in a time or space series of deformation tensors is statistically analyzed. In the second step significant change(s) in deformations are localized. In other words, they are assigned to ce...

Procrustean Entanglement Concentration of Continuous Variable States of Light

We propose a Procrustean entanglement concentration scheme for continuous variable states inspired by the scheme proposed in [1]. We show that the eight-port homodyne measurement of [1] can be replaced by a balanced homodyne measurement with the advantage of providing a success criterion that allows Alice and Bob to determine if entanglement concentration was achieved. In addition, it facilitat...

Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces

The shape-space l.m whose points a represent the shapes of not totally degenerate /c-ads in IR m is introduced as a quotient space carrying the quotient metric. When m = 1, we find that Y\ = S~; when m ^ 3, the shape-space contains singularities. This paper deals mainly with the case m = 2, when the shape-space I* c a n be identified with a version of CP*~. Of special importance are the shape-m...