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%ما هو (من)٪ 1 - تعريف

STATISTICAL SHAPE ANALYSIS TECHNIQUE
Procrustes distance; Procrustes metric; Procrustes superimposition; Bookstein coordinates
  • Procrustes superimposition. The figure shows the three transformation steps of an ordinary Procrustes fit for two configurations of landmarks. (a) Scaling of both configurations to the same size; (b) Transposition to the same position of the center of gravity; (c) Rotation to the orientation that provides the minimum sum of squared distances between corresponding landmarks.

Procrustean         
  • Punch]]'', Volume 101, 19 September 1891, by [[John Tenniel]]
MYTHICAL CHARACTER
Damastus; Polypemon; The Stretcher; Procrustean; Procrustean bed; Bed of Procrustes; Damastes; Procustes; Prokrustes; Procrustian; Procrustrean; Procrustrean bed; Prokoptas; Proscrustes' Bed; Procrustees
·adj Of or pertaining to Procrustes, or the mode of torture practiced by him; producing conformity by violent means; as, the Procrustean treatment; a Procrustean limit. ·see Procrustes.
Procrustes         
  • Punch]]'', Volume 101, 19 September 1891, by [[John Tenniel]]
MYTHICAL CHARACTER
Damastus; Polypemon; The Stretcher; Procrustean; Procrustean bed; Bed of Procrustes; Damastes; Procustes; Prokrustes; Procrustian; Procrustrean; Procrustrean bed; Prokoptas; Proscrustes' Bed; Procrustees
·noun A celebrated legendary highwayman of Attica, who tied his victims upon an iron bed, and, as the case required, either stretched or cut of their legs to adapt them to its length;
- whence the metaphorical phrase, the bed of Procrustes.
Procrustes         
  • Punch]]'', Volume 101, 19 September 1891, by [[John Tenniel]]
MYTHICAL CHARACTER
Damastus; Polypemon; The Stretcher; Procrustean; Procrustean bed; Bed of Procrustes; Damastes; Procustes; Prokrustes; Procrustian; Procrustrean; Procrustrean bed; Prokoptas; Proscrustes' Bed; Procrustees
In Greek mythology, Procrustes (; Greek: Προκρούστης Prokroustes, "the stretcher [who hammers out the metal]"), also known as Prokoptas, Damastes (Δαμαστής, "subduer") or Polypemon, was a rogue smith and bandit from Attica who attacked people by stretching them or cutting off their legs, so as to force them to fit the size of an iron bed.

ويكيبيديا

Procrustes analysis

In 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) refers to a bandit from Greek mythology who made his victims fit his bed either by stretching their limbs or cutting them off.

In mathematics:

  • an orthogonal Procrustes problem is a method which can be used to find out the optimal rotation and/or reflection (i.e., the optimal orthogonal linear transformation) for the Procrustes Superimposition (PS) of an object with respect to another.
  • a constrained orthogonal Procrustes problem, subject to det(R) = 1 (where R is a rotation matrix), is a method which can be used to determine the optimal rotation for the PS of an object with respect to another (reflection is not allowed). In some contexts, this method is called the Kabsch algorithm.

When a shape is compared to another, or a set of shapes is compared to an arbitrarily selected reference shape, Procrustes analysis is sometimes further qualified as classical or ordinary, as opposed to Generalized Procrustes analysis (GPA), which compares three or more shapes to an optimally determined "mean shape".