Function - Invariant

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A function (or property) is invariant under a certain family of transformations if its value does not change when a transformation from this family is applied to its argument.

See also: Function - Covariant

Example

The area of a 2D surface is invariant under 2D rotations, since rotating a 2D surface does not make it any smaller or bigger.





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Function - Covariant

A function is covariant when it commutes with the transformation, i.e.: See also: The orientation of the major axis of inertia of the surface is covariant under a rotation transformations, since...
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Function - Isotropic

A function is isotropic at a particular point if it behaves the same in all directions. This is a term that applies to, e.g., textures, and should not be confused with rotational invariance.
Image Intrinsic Dimension
Raster Image - Feature (Image Properties)

A feature is property of an image. intensity, color, texture. For the whole image For a set of pixel. Local features provide a limited set of well localized and individually identifiable...



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