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Geometric Transforms
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Built-in
Mathematica
Symbol
GeometricTransformation
AffineTransform
LinearFractionalTransform
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Computational Geometry
Geometric Transforms
New in 6.0: Mathematics & Algorithms
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TransformationMatrix
TransformationMatrix
[
tfun
]
gives the homogeneous matrix associated with a
TransformationFunction
object.
MORE INFORMATION
For transformations in
n
dimensions,
TransformationMatrix
normally gives an
matrix.
mat
[[1;;
n
, 1;;
n
]]
gives the linear part of the transformation;
mat
[[1;;
n
, -1]]
gives the displacement vector.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Here
t
is defined to be a rotation around the
z
axis:
In[1]:=
Out[1]=
Get the transformation matrix:
In[2]:=
Out[2]=
The linear part:
In[3]:=
Out[3]=
The displacement vector:
In[4]:=
Out[4]=
Scope
(1)
Properties & Relations
(1)
SEE ALSO
GeometricTransformation
AffineTransform
LinearFractionalTransform
MORE ABOUT
Computational Geometry
Geometric Transforms
New in 6.0: Mathematics & Algorithms
New in 6
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