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Mathematica
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Geometric Transforms
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Built-in
Mathematica
Symbol
TransformationMatrix
GeometricTransformation
AffineTransform
RotationTransform
TranslationTransform
ScalingTransform
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Geometric Transforms
More About »
TransformationFunction
TransformationFunction
[
data
]
represents a transformation function that applies geometric and other transformations.
MORE INFORMATION
TransformationFunction
works like
Function
.
TransformationFunction[
...
][
vec
]
applies the transformation function to a vector, returning a transformed vector.
TransformationFunction
works with both numerical and symbolic vectors.
For purposes of display, a
-dimensional
TransformationFunction
is typically shown with a
homogenous matrix.
Composition
and
InverseFunction
can be used with
TransformationFunction
.
When possible, matrix forms for transformations can be obtained from
TransformationFunction
objects using
TransformationMatrix
.
GeometricTransformation
can be used to represent the effect of applying a
TransformationFunction
object to geometrical or graphics objects.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Create a rotation transform:
In[1]:=
Out[1]=
This rotates the vector
{
x
,
y
}
by angle
:
In[2]:=
Out[2]=
Scope
(15)
Applications
(2)
Properties & Relations
(1)
SEE ALSO
TransformationMatrix
GeometricTransformation
AffineTransform
RotationTransform
TranslationTransform
ScalingTransform
MORE ABOUT
Geometric Transforms
New in 6
© 2008 Wolfram Research, Inc.