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FindRegionTransform[reg1,reg2]

gives the transformation function that maps the region reg1 to the region reg2.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Basic Uses  
Special Regions  
Mesh Regions  
Applications  
Basic Applications  
See Also
Related Guides
History
Cite this Page

FindRegionTransform

FindRegionTransform[reg1,reg2]

gives the transformation function that maps the region reg1 to the region reg2.

Details and Options

  • FindRegionTransform is typically used to get transformations between regions that preserve geometric properties such as lines and parallelism.
  • FindRegionTransform[reg1,reg2] gives the affine transformation that maps reg1 to reg2.
  • The following option can be given:
  • WorkingPrecisionAutomaticthe precision to use in internal computations

Examples

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Basic Examples  (2)

Determine the transformation between two regions:

Apply the transformation:

Find an affine transformation that aligns two sets of positions:

Scope  (11)

Basic Uses  (4)

Find an affine transformation between two regions:

An affine transformation on a random sample of points:

FindRegionTransform works in:

2D:

3D:

nD:

FindRegionTransform works with nonconstant regions:

Special Regions  (4)

A transformation between a rectangle and a parallelogram:

Triangles and polygons:

Balls and ellipsoids:

Polygons:

Mesh Regions  (3)

A transformation between mesh regions:

A transformation between boundary mesh regions:

A transformation between mesh regions and boundary mesh regions:

Applications  (1)

Basic Applications  (1)

FindRegionTransform finds affine transformations:

Translation:

Rotation:

Scaling:

Wolfram Research (2021), FindRegionTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/FindRegionTransform.html.

Text

Wolfram Research (2021), FindRegionTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/FindRegionTransform.html.

CMS

Wolfram Language. 2021. "FindRegionTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FindRegionTransform.html.

APA

Wolfram Language. (2021). FindRegionTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FindRegionTransform.html

BibTeX

@misc{reference.wolfram_2025_findregiontransform, author="Wolfram Research", title="{FindRegionTransform}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/FindRegionTransform.html}", note=[Accessed: 15-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_findregiontransform, organization={Wolfram Research}, title={FindRegionTransform}, year={2021}, url={https://reference.wolfram.com/language/ref/FindRegionTransform.html}, note=[Accessed: 15-August-2025]}