Mathematica 9 is now available

SEARCH MATHEMATICA 8 DOCUMENTATION

THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

Mathematica > Geometric Transforms >

Built-in Mathematica Symbol

See Also »|More About »

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

Symbolic Graphics Language

New in 6.0: Mathematics & Algorithms

New in 6.0: Matrix & Linear Algebra Functions

New in 6

© 2013 Wolfram Research, Inc.

Ask a question about this page | Suggest an improvement | Leave a message for the team