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Built-in Mathematica Symbol

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AffineTransform

AffineTransform[m]
gives a TransformationFunction that represents an affine transform that maps r to m.r.

AffineTransform[{m, v}]
gives an affine transform that maps r to m.r+v.

MORE INFORMATION

AffineTransform gives a TransformationFunction which can be applied to vectors.

For ordinary affine transforms in n dimensions, m is an × matrix.

AffineTransform in general supports × matrices for transformations in dimensions.

Basic Examples (2)

A general affine transformation:

Transform points:

A pure rotation:

A pure translation:

Applications (1)

Properties & Relations (3)

Neat Examples (1)

GeometricTransformation LinearFractionalTransform TransformationFunction RotationTransform Dot ViewMatrix

Computational Geometry

Geometric Transforms

Graphics Transformations

Image Processing & Analysis

Symbolic Graphics Language

New in 6.0: Mathematics & Algorithms

New in 6.0: Matrix & Linear Algebra Functions

Demonstrations with AffineTransform (Wolfram Demonstrations Project)

New in 6

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