A Procrustes transformation is a geometric transformation that involves only translation, rotation, uniform scaling, or a combination of these transformations. Hence, it may change the size or position, but not the shape of a geometric object.
Named after the mythical Greek robber, Procrustes, who made his victims fit his bed either by stretching their limbs or cutting them off.
See also
Procrustes analysis
Orthogonal Procrustes problem
Singular value decomposition
Affine transformation, which also allows for shear
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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