affine transformation

affine transformation
a linear transformation between vector spaces followed by a translation.

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  • Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia

  • Affine Transformation — Dieser Artikel oder Abschnitt bedarf einer Überarbeitung. Näheres ist auf der Diskussionsseite angegeben. Hilf mit, ihn zu verbessern, und entferne anschließend diese Markierung. Bei einer Koordinatentransformation werden Koordinaten von einem… …   Deutsch Wikipedia

  • affine transformation — noun (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑transformation …   Useful english dictionary

  • Affine transformation — …   Википедия

  • Affine shape adaptation — is a methodology for iteratively adapting the shape of the smoothing kernels in an affine group of smoothing kernels to the local image structure in neighbourhood region of a specific image point. Equivalently, affine shape adaptation can be… …   Wikipedia

  • affine — [ afin ] adj. • XXe; fém. de affin 1 ♦ Biol. Formes affines, présentant des ressemblances ne traduisant pas toujours des liens de parenté. Les sélaginelles sont affines aux lycopodes. 2 ♦ Math. Transformation affine : transformation dans le plan… …   Encyclopédie Universelle

  • Affine — may refer to:*Affine cipher, a special case of the more general substitution cipher *Affine combination, a certain kind of constrained linear combination *Affine connection, a connection on the tangent bundle of a differentiable manifold *Affine… …   Wikipedia

  • Transformation geometrique — Transformation géométrique Pour les articles homonymes, voir Transformation. On appelle transformation géométrique, toute bijection d une partie d un ensemble géométrique dans lui même. On peut tenter une ou des classifications de ces… …   Wikipédia en Français

  • Affine differential geometry — Affine differential geometry, as its name suggests, is a type of differential geometry. The basic difference between affine and Riemannian differential geometry is that in the affine case we introduce volume forms over a manifold instead of… …   Wikipedia

  • Affine Abbildung — In der Geometrie und in der Linearen Algebra, Teilgebieten der Mathematik, ist eine affine Abbildung (auch affine Transformation genannt, insbesondere bei einer bijektiven Abbildung) eine Abbildung zwischen zwei affinen Räumen, bei der… …   Deutsch Wikipedia

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