Examples of 'affine transformations' in a sentence

Meaning of "affine transformations"

affine transformations: Mathematical concept used in geometry and linear algebra to describe transformations that preserve points, straight lines, and planes
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  • plural of affine transformation

How to use "affine transformations" in a sentence

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affine transformations
Affine transformations over the real numbers.
The group of all bijective affine transformations.
Because the affine transformations are spatially.
Translational symmetry is preserved under arbitrary bijective affine transformations.
Examples of affine transformations.
They are classified and named by their orbits under affine transformations.
Affine transformations preserve straight lines and keep parallel lines parallel.
The bias term allows us to make affine transformations to the data.
A preferred embodiment of the present invention employs mathematical operations known as local affine transformations.
These identifications are always given by affine transformations from one tangent plane to another.
Virtual samples are generated from the original images by several affine transformations.
There is an infinite number of affine transformations which take any given parallelogram to a square.
The Euclidean group is a subgroup of the group of affine transformations.
Affine transformations in two real dimensions include,.
We then propose a new matching method invariant to Euclidean and affine transformations.

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Invariance to affine transformations of players ' utility functions.
The other main method is with Iterated Function Systems consisting of a number of affine transformations.
These include both affine transformations ( such as translation ) and projective transformations.
In fact, all triangles are related to one another by affine transformations.
Affine transformations are applied to these polytopes, producing a description of a new execution order.
To specify scenes or objects, is commonly used affine transformations to perform the spatial verification.
Affine transformations do not respect lengths or angles ; they multiply area by a constant factor.
In this paper, we assume regional tissue deformation can be modelled by local affine transformations.
However, it is not equivariant under affine transformations of both the predictor and response variables.
This link is learned using a high-to-low probabilistic regression built using probabilistic a mixture of affine transformations.
This is a discrete cocompact group of affine transformations of space, but does not contain a subgroup Z3.
For more information, consult the Wikipedia article on affine transformations.
Lorentz transformations are examples of linear transformations ; general isometries of Minkowski spacetime are affine transformations.
Camellia uses four 8 × 8-bit S-boxes with input and output affine transformations and logical operations.
Hence, the group of Euclidean transformations is a subgroup of the group of affine transformations.
For the case of MSER, this consists of affine transformations.
This motivates restricting one 's attention to the group SA2 of area-preserving affine transformations.
In particular, it is possible to take into account affine transformations F t.

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Examples of using Transformations
Committed to the positive transformations of the world
Positive transformations are taking place in a number of countries
These theories are related by transformations called dualities
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Examples of using Affine
Affine invariants can also assist calculations
The base change of an affine morphism is affine
An affine space of dimension one is an affine line
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