affine transformation

Noun

 * 1)  A geometric transformation that preserves lines and parallelism, but in general not lengths or angles;  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.
 * 2) * 2004, Solomon Khmelnik, Computer Arithmetic of Geometrical Figures: Algorithms and Hardware Design, Mathematics in Computer Comp., page 8,
 * Most striking and well-known examples of affine transformation applications are computer tomography (see for instance [1]) and information compression for telecommunication systems (see [2]).
 * This book describes affine transformations (displacements, turns, scaling, shifts) of $$n$$-dimensional figures, where $$n=1, 2, 3, 4$$.
 * 1) * 2004, Solomon Khmelnik, Computer Arithmetic of Geometrical Figures: Algorithms and Hardware Design, Mathematics in Computer Comp., page 8,
 * Most striking and well-known examples of affine transformation applications are computer tomography (see for instance [1]) and information compression for telecommunication systems (see [2]).
 * This book describes affine transformations (displacements, turns, scaling, shifts) of $$n$$-dimensional figures, where $$n=1, 2, 3, 4$$.
 * Most striking and well-known examples of affine transformation applications are computer tomography (see for instance [1]) and information compression for telecommunication systems (see [2]).
 * This book describes affine transformations (displacements, turns, scaling, shifts) of $$n$$-dimensional figures, where $$n=1, 2, 3, 4$$.

Translations

 * Chinese:
 * Mandarin: 仿射變換
 * Estonian: afiinne teisendus
 * Finnish: affiinikuvaus, affiini kuvaus
 * French: transformation affine
 * German: affine Abbildung
 * Hungarian:
 * Icelandic: vildarvörpun, vildarmótun
 * Italian: trasformazione affine
 * Japanese: アフィン変換
 * Russian: аффи́нное преобразова́ние
 * Spanish: transformación afín
 * Swedish: affin transformation