Concept information
Preferred term
affine transformation
Definition(s)
- 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. More generally, an affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space onto itself while preserving both the dimension of any affine subspaces (meaning that it sends points to points, lines to lines, planes to planes, and so on) and the ratios of the lengths of parallel line segments. Consequently, sets of parallel affine subspaces remain parallel after an affine transformation. An affine transformation does not necessarily preserve angles between lines or distances between points, though it does preserve ratios of distances between points lying on a straight line. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Affine_transformation)
Broader concept(s)
In other languages
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French
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application affine
URI
http://data.loterre.fr/ark:/67375/MDL-FS2BCLXZ-8
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