Procrustes, whose name means "he who stretches", was arguably the most interesting of Theseus's challenges on the way to becoming a hero. The Oxford Dictionary of Phrase and Fable. them on a rack until they were as long as the bed. "Procrustes For example, translational components can be removed from an object by translating the object so that the mean of all the object's points (i.e. When the traveler slept, Procuste gagged and tied him to the four corners of an iron bed. In Greek mythology, Procrustes (Προκρούστης) or "the stretcher [who hammers out the metal]", also known as Prokoptas or Damastes (Δαμαστής) "subduer", was a rogue smith and bandit from Attica who physically attacked people by stretching them or cutting off their legs, so as to force them to fit the size of an iron bed. ." Therefore, that information is unavailable for most Encyclopedia.com content. where. [6], This detail, which injects a note of verisimilitude, is reported by both pseudo-Apollodorus (, Derrida, Jacques, "The Purveyor of Truth," in, 1947–1948 Civil War in Mandatory Palestine, 2007–2008 Israel–Gaza conflict/merger-proposal, Prise de Jérusalem par Hérode le Grand.jpg, http://foldoc.org/index.cgi?query=procrustean+string, https://religion.wikia.org/wiki/Procrustes?oldid=200766. ." . + Theseus turned the tables on Procrustes, fatally adjusting him to fit his own bed. For instance, with full PS two spheres with different radii will always coincide, because they have exactly the same shape. What Procrustes didn't volunteer was the method by which this "one-size-fits-all" was achieved, namely as soon as the guest lay down Procrustes went to work upon him, stretching him on the rack if he was too short for the bed and chopping off his legs if he was too long. Scaling and translation are performed the same way by both techniques. 2 Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. (September 30, 2020). − Myths and Legends of the World. Myths and Legends of the World. y ¯ y Bookstein obtains a representation of shape by fixing the position of two points [1], One study by David George Kendall examined the triangles formed by standing stones to deduce if these were often arranged in straight lines. In Greek mythology, Procrustes (Greek: Προκρούστης), whose name means "he who stretches", was a robber who lived near the city of Eleusis. . care of his victims. Encyclopedia.com. Often, these points are selected on the continuous surface of complex objects, such as a human bone, and in this case they are called landmark points. This is generally the precursor to further statistical analysis. Cite this article Pick a style below, and copy the text for your bibliography. In Greek mythology, Proteus (/ ˈ p r oʊ t i ə s,-tj uː s /; Ancient Greek: Πρωτεύς, Prōteus) is an early prophetic sea-god or god of rivers and oceanic bodies of water, one of several deities whom Homer calls the "Old Man of the Sea" (halios gerôn). If they were shorter than the bed, he would stretch them on a rack until they were as long as the bed. (September 30, 2020). {\displaystyle ((x_{1},y_{1}),\ldots )} w x y Pick a style below, and copy the text for your bibliography. If the string inserted is too short, then it is padded out, usually with spaces or null characters. However, as soon as the travelers were in his house, Procrustes would tie them to an iron bed. Consider two objects composed of the same number of points with scale and translation removed. ( Encyclopedia.com. in ancient Greek mythology, a giant robber who forced travellers to lie down on a bed, cutting off the feet of those who were longer than the bed and stretching out those who were shorter to make them fit the bed’s length; hence his name, which means “he who stretches.”. Procrustes met his end at the hands of the Greek hero Theseus*, who killed him the same way that the robber took care of his victims. In this case, the defeat of the opponent justifies the deceptive means. In either case, his victims died. z If the guests were Conversely, with partial PS they will never coincide. Today the term Procrustean bed means a standard or set of conditions, determined arbitrarily, to which everyone is forced to conform. In statistics, Procrustes analysis is a form of statistical shape analysis used to analyse the distribution of a set of shapes. 1 In Greek mythology, Procrustes was a robber who lived near the city of Eleusis. See more. The shape of an object can be considered as a member of an equivalence class formed by removing the translational, rotational and uniform scaling components. ) θ x x x ( when the derivative is zero gives. [2], "A Survey of the Statistical Theory of Shape", Extensions to continuum of points and distributions, https://en.wikipedia.org/w/index.php?title=Procrustes_analysis&oldid=980489792, Creative Commons Attribution-ShareAlike License, a constrained orthogonal Procrustes problem, subject to, arbitrarily choose a reference shape (typically by selecting it among the available instances), superimpose all instances to current reference shape, compute the mean shape of the current set of superimposed shapes.

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