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Noun

affine 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

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References in periodicals archive

For analysis, head motion correction is done, the functional images are co-registered to structural images using a six-parameter rigid-body transformation and a 12-parameter affine transformation (8).

Does the Brain Work While Resting? Resting State fMRI

* Scale Invariance: If T:[R.sup.2] [right arrow] [R.sup.2] represents a positive affine transformation, that is, T(x, y) = ([r.sub.1]x + [s.sub.1], [r.sub.2]y + [s.sub.2]) for some positive constant [r.sub.i] and some constant [s.sub.i], then we have g([c.sub.1]; [c.sub.2], E, T([u.sub.1], [u.sub.2])) = g([c.sub.1], [c.sub.2], E, [u.sub.1], [u.sub.2]) for any ([c.sub.1], [c.sub.2], E, [u.sub.1], [u.sub.2]) [member of] C.

FAIR ALLOCATION WHEN PLAYERS' PREFERENCES ARE UNKNOWN

Thereby we use the affine transformation of van der Pauw [8] in order to replace the original device having anisotropic resistivity by an equivalent device having isotropic conductivity.

An Analytical Theory of Piezoresistive Effects in Hall Plates with Large Contacts

As an affine transformation is a nonsingular linear transformation followed by a translation, we regard the mapping relationship between two images as an affine transformation.

Occluded Street Objects Perception Algorithm of Intelligent Vehicles Based on 3D Projection Model

The construction of Rainbow includes affine transformation [L.sub.1], central map transformation F, and affine transformation [L.sub.2]; that is,

Under Quantum Computer Attack: Is Rainbow a Replacement of RSA and Elliptic Curves on Hardware?

In the first step, reference image and target image were globally aligned using affine transformation. Region of interest was selected and a mesh of control points was initialized over the region using the affine transformation.

AN ALGORITHM TO SEGMENT THE MID-BRAIN STRUCTURES USING MULTI-RESOLUTION NON-RIGID REGISTRATION

Thus, the affine transformation is optimized with respect to translation, rotation, scaling, and shearing with a mixture of 12 parameters.

Evaluation of Deformable Image Registration for Three-Dimensional Temporal Subtraction of Chest Computed Tomography Images