affine transformation


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Noun1.affine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axisaffine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
transformation - (mathematics) a function that changes the position or direction of the axes of a coordinate system
References in periodicals archive ?
We first construct a new object function through applying directly a homogeneous affine transformation between pre- and post-compression data.
Feature matching to identify control point pairs is accomplished by defining geometric patterns which remain unchanged under a four-parameter similarity transformation (called SIPP: Shape/ Similarity Invariant Point Pattern) and under a general six-parameter affine transformation (called AIPP: Area/Affine Invariant Point Pattern).
When applying image pyramids, homologous points are searched and adjusted using affine transformation technique.
The affine transformation was used for topology alignment.
Participants of the July 2008 conference share recent research on affine transformation crossed product type algebras and noncommutative surfaces, C*-algebras associated with iterated function systems, extending representations of normed algebras in Banach spaces, and freeness of group actions on C*-algebras.
3b) as a succession of affine transformation operators (translation, rotation, reducing by similitude, affine reducing, mirror, cutting) a fractal appears as a fixed point of this operator.
The geometrical operations of translation, size scaling, and rotation are special cases of a geometrical operator called an affine transformation (1).
A more general four-dimensional affine transformation will take its place which has mathematical group properties as well.
Its new Affine transformation function compensates for image distortion at a pixel level, caused by optical anomalies.
K is upper triangular and expresses the mapping 2D [right arrow] 2D which is a special case of the affine transformation.
It is known as affine transformation as the transformation that results of the combination of translation, rotation and scale, defined by: