Definition of Affine transformation

1. Noun. (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Transformation

Definition of Affine transformation

1. Noun. (geometry linear algebra) a linear transformation between vector spaces followed by a translation. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Affine Transformation

 affiliatingaffiliationaffiliationsaffiliativeaffinageaffinalaffinationaffineaffine arithmeticaffine combination affine geometryaffine groupaffine groupsaffine spaceaffine spacesaffine transformation (current term)affine transformationsaffinedaffinelyaffines affineuraffineursaffiningaffinitativeaffinitiesaffinitiveaffinityaffinity adsorbentaffinity antibodyaffinity chromatography

Literary usage of Affine transformation

Below you will find example usage of this term as found in modern and/or classical literature:

1. Plane and Solid Analytic Geometry by William Fogg Osgood, William Caspar Graustein (1921)
"16. a/ = 5x + 2, y'= — 3x — l. 17. x>=^=-M-6, y' = ^±M + 3. V2 V2 6. The General affine transformation. By the title is meant the transformation . f x' = ax ..."

2. L1-statistical Procedures and Related Topics by Yadolah Dodge (1997)
"... leads to parameter estimates that are not equivariant and to statistical tests that are not invariant under general affine transformation of the data, ..."

3. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"The affine transformation is protective; that is, it transforms every straight line into a straight line. AFFINITY. In law, the connection existing in ..."

4. Projective Geometry by Oswald Veblen, John Wesley Young (1918)
"Both of these transformations have the same finite fixed elements as T.* 12. Let T be an affine transformation, -Ij a variable point, yl2 = T(-41), ..."