affine transformation
Sign in to saveAlso known as affinity, affine automorphism, Affinity (mathematics)
automorphism of an affine space
In the Vinony graph
Vinony's link graph records 504 inbound references to affine transformation, and connects out to affine space, rotation and inverse function.
It is catalogued under topics including Affine geometry and Transformation (function).
Vinony links it to 35 Wikipedia language editions.
Wikidata facts
- Instance of
- coordinates transformation
- Subclass of
- collineation
Show 3 more facts
- Commons category
- Affine transformation
- maintained by WikiProject
- WikiProject Mathematics
- facet of
- projective geometry
via Wikidata · CC0
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Encyclopedic overview
An image of a fern-like fractal (Barnsley's fern) that exhibits affine self-similarity. Each of the leaves of the fern is related to each other leaf by an affine transformation. For instance, the red leaf can be transformed into both the dark blue leaf and any of the light blue leaves by a combination of reflection, rotation, scaling, and translation.
In Euclidean geometry, an affine transformation or affinity (from the Latin, affinis, "connected with") is a geometric transformation that preserves lines and parallelism, but not necessarily Euclidean distances and angles.
Excerpted from Wikipedia’s “affine transformation” article, available under the CC BY-SA 4.0 licence.