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DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Visualization and Graphics
>
Computational Geometry
>
Geometric Transforms
>
TranslationTransform
>
Mathematica
>
Visualization and Graphics
>
Symbolic Graphics Language
>
Graphics Transformations
>
Geometric Transforms
>
TranslationTransform
>
BUILT-IN MATHEMATICA SYMBOL
AffineTransform
RotationTransform
GeometricTransformation
TransformationFunction
See Also »
|
Geometric Transforms
More About »
TranslationTransform
TranslationTransform
[
v
]
gives a
TransformationFunction
that represents translation of points by a vector
v
.
MORE INFORMATION
TranslationTransform
[
v
][
r
]
for vectors
v
and
r
is equivalent to
.
TranslationTransform
gives a transformation for vectors with dimension
n
.
TranslationTransform
[
v
][
r
]
for vectors
v
and
r
is equivalent to
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Generate a function representing a translation by the vector
:
Apply the transformation function to a vector:
Generate a function representing a translation by the vector
:
In[1]:=
Out[1]=
Apply the transformation function to a vector:
In[2]:=
Out[2]=
Scope
(3)
Translation in four dimensions:
The inverse transform:
Apply the transform 5 times:
Use matrix operations and homogeneous coordinates:
Transformation applied to a 2D shape:
Transformation applied to a 3D shape:
Applications
(2)
Transforming graphics primitives:
A random translation walk:
Properties & Relations
(3)
Translating by
and then by
is the same as translating by
:
The inverse of translating by
is the same as translating by
:
For geometric transformations use
Translate
directly:
Neat Examples
(1)
Scale a 3D object about a point
:
Translate along the
axis:
Translate along the
axis:
Translate along the
axis:
SEE ALSO
AffineTransform
RotationTransform
GeometricTransformation
TransformationFunction
MORE ABOUT
Geometric Transforms
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