isometry

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Related to Isometri: Isometric process, Isometric scaling

isometry

[ī′säm·ə·trē]
(mathematics)
A mapping ƒ from a metric space X to a metric space Y where the distance between any two points of X equals the distance between their images under ƒ in Y.
A linear isomorphism σ of a vector space E onto itself such that, for a given bilinear form g, gx, σ y)= g (x,y) for all x and y in E.

isometry

(mathematics)
A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane.