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TranslationTransform[v]

gives a TransformationFunction that represents translation of points by a vector v.

Details
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Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
Neat Examples  
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TranslationTransform

TranslationTransform[v]

gives a TransformationFunction that represents translation of points by a vector v.

Details

Examples

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Basic Examples  (1)

Generate a function representing a translation by the vector {a,b}:

Apply the transformation function to a vector:

Scope  (3)

Translation in four dimensions:

The inverse transform:

Apply the transform five 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  (4)

The translation transformation is an isometric transform, i.e. preserves distances:

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:

Wolfram Research (2007), TranslationTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/TranslationTransform.html.

Text

Wolfram Research (2007), TranslationTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/TranslationTransform.html.

CMS

Wolfram Language. 2007. "TranslationTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/TranslationTransform.html.

APA

Wolfram Language. (2007). TranslationTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TranslationTransform.html

BibTeX

@misc{reference.wolfram_2025_translationtransform, author="Wolfram Research", title="{TranslationTransform}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/TranslationTransform.html}", note=[Accessed: 28-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_translationtransform, organization={Wolfram Research}, title={TranslationTransform}, year={2007}, url={https://reference.wolfram.com/language/ref/TranslationTransform.html}, note=[Accessed: 28-August-2025]}