# 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:
•  WorkingPrecision Automatic the 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_2024_findregiontransform, author="Wolfram Research", title="{FindRegionTransform}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/FindRegionTransform.html}", note=[Accessed: 20-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_findregiontransform, organization={Wolfram Research}, title={FindRegionTransform}, year={2021}, url={https://reference.wolfram.com/language/ref/FindRegionTransform.html}, note=[Accessed: 20-July-2024 ]}