Sanakirja
Tekoälykääntäjä
KieliKäännökset
espanjatransformación afín
japaniアフィン変換 (afinhenkan)
ranskatransformation affine
ruotsiaffin transformation, linjär funktion
saksaaffine Abbildung
suomiaffiini kuvaus, affiinikuvaus, affiinimuunnos
unkariaffin transzformáció
venäjäаффи́нное преобразова́ние (affínnoje preobrazovánije)
viroafiinne teisendus

Määritelmät

Substantiivi

  1. (geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

Taivutusmuodot

Monikkoaffine transformations

(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

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.

(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

The one-parameter group of squeeze mappings preserves areas, here illustrated with hyperbolic sectors.

(geometry, linear algebra) A geometric transformation that preserves lines and parallelism, but in general not lengths or angles; (more formally) an automorphism of an affine space: a mapping of an affine space onto itself that preserves both the dimension of any affine subspace and the ratio of the lengths of any pair of parallel line segments.

Identity (transform to original image).