affine transformation

Noun

Meaning

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

Source: WordNet

Synonyms

affinity affine geometry linear transformation linear map affine coordinates affine invariant homogeneous coordinates affine connectivity affine deformation affine distortion affine invariant analysis affine invariant descriptor affine invariant detection affine invariant feature affine invariant matching
Show all synonyms

Hypernyms

transformation

Examples

Affine transformation in plane geometry A simple affine transformation on the real plane Effect of applying various 2D affine transformation matrices on a unit square. Source: Internet

An affine transformation is invertible if and only if is invertible. Source: Internet

If there is a fixed point, we can take that as the origin, and the affine transformation reduces to a linear transformation. Source: Internet

Drawing with Bézier paths Composite Bézier curves may also be used to draw an ellipse to sufficient accuracy, since any ellipse may be construed as an affine transformation of a circle. Source: Internet

If is a matrix, : is equivalent to the following : The above-mentioned augmented matrix is called affine transformation matrix, or projective transformation matrix (as it can also be used to perform projective transformations ). Source: Internet

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero. Source: Internet

Close letter words and terms

affine plane affine space affine structure affine transformation matrix affine variety affined