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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, position, and orientation of a geometric object, but not its shape.
The Procrustes transformation is named after the mythical Greek robber Procrustes who made his victims fit his bed either by stretching their limbs or cutting them off.
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robber Procrustes who made his victims fit his bed either by stretching their limbs or cutting them off. Procrustes analysis Orthogonal Procrustes problem...
tellings, if the guest proved too tall, Procrustes would amputate the excess length; if the guest was too short Procrustes would stretch them until they died;...
statistics, Procrustes analysis is a form of statistical shape analysis used to analyse the distribution of a set of shapes. The name Procrustes (Greek: Προκρούστης)...
Procrustes problem ( A ∈ R m × m {\displaystyle A\in \mathbb {R} ^{m\times m}} ) is referred to as the balanced problem in these contexts. Procrustes...
quality. Geographic coordinate conversion Procrustes analysis Surveying "Equations Used for Datum Transformations". Toitū Te Whenua Land Information New...
performed, the algorithm is sometimes called partial Procrustes superimposition (see also orthogonal Procrustes problem). Let P and Q be two sets, each containing...
statistical hypotheses about shape. Procrustes-based analyses have some limitations. One is that the Procrustes superimposition uses a least-squares...
hollow sphere may be considered to have the same shape as a solid sphere. Procrustes analysis is used in many sciences to determine whether or not two objects...
and rotation to minimize the squared and summed differences (squared Procrustes distance) between landmarks on each specimen. Then the landmarks are individually...
922K. doi:10.1107/S0567739476001873. Hurley JR, Cattell RB (1962). "The Procrustes Program: Producing direct rotation to test a hypothesized factor structure"...
orthogonal matrix Q nearest a given matrix M is related to the Orthogonal Procrustes problem. There are several different ways to get the unique solution,...
Bookstein for geometric morphometrics in anthropology. Or an approach like Procrustes analysis which finds an average shape. David George Kendall investigated...
problem, with interesting applications in shape analysis, is the orthogonal Procrustes problem, which consists of finding an orthogonal matrix O {\displaystyle...
how closely can they be related by a distance-preserving transformation — this is Procrustes analysis. Some of the distances may also be missing or come...
ISBN 9781788739610. von Kuehnelt-Leddihn, Erik (1943). The Menace of the Herd; or, Procrustes at Large. Ludwig von Mises Institute. OCLC 733805752. McLean, Iain; McMillan...
Online version at Harvard University Press. O'Brien, Joan V. (1993). The Transformation of Hera: A Study of Ritual, Hero, and the Goddess in the Iliad. Maryland...
Sun, Y.; Wang and, M.; Liu, M. (June 2020). "Hand-Eye Calibration: 4-D Procrustes Analysis Approach". IEEE Transactions on Instrumentation and Measurement...
Tartarus. Procrustes – The son of Poseidon who is depicted as a half-giant and rogue thief/blacksmith who was previously defeated by Theseus. Procrustes appears...
and common template coordinate systems. This is a strong departure from Procrustes Analyses and shape theories pioneered by David G. Kendall in that the...
\theta } ) of the n pairs in advance. The method derives its name from Procrustes because it produces a perfectly entangled state by chopping off the extra...
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