RegionErosion

RegionErosion[reg,r]

gives the erosion of the region reg by a disk of radius r centered at the origin.

RegionErosion[reg1,reg2]

gives the erosion of the region reg1 by the region reg2.

RegionErosion[reg1,reg2,{u,v}]

gives the erosion of reg1 scaled by a factor u and reg2 scaled by a factor v.

Details and Options

  • RegionErosion is also known as Minkowski difference or geometric difference.
  • Typically used to construct the intersection of all positions of a region through translation.
  • RegionErosion[reg,r] gives the erosion of the region reg by a disk of radius r.
  • RegionErosion[reg1,reg2] returns reg1reg2={d|dreg2reg1} where ab is RegionDilation.
  • RegionErosion[reg1,reg2,{u,v}] returns u reg1v reg2={d|dv reg2u reg1}.
  • RegionErosion takes the same options as Region.

Examples

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Basic Examples  (3)

Erosion of a disk:

RegionErosion of Rectangle and Line:

Visualize it:

RegionErosion of Cuboid and Cuboid:

Visualize it:

Scope  (5)

Special Regions  (5)

RegionErosion of Rectangle and Line:

Visualize it:

RegionErosion of Disk and Line:

Visualize it:

RegionErosion of StadiumShape and Line:

Visualize it:

RegionErosion of CapsuleShape and Ball:

Visualize it:

RegionErosion of Cylinder and Cylinder:

Visualize it:

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

Text

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

BibTeX

@misc{reference.wolfram_2021_regionerosion, author="Wolfram Research", title="{RegionErosion}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/RegionErosion.html}", note=[Accessed: 27-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_regionerosion, organization={Wolfram Research}, title={RegionErosion}, year={2021}, url={https://reference.wolfram.com/language/ref/RegionErosion.html}, note=[Accessed: 27-September-2021 ]}

CMS

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

APA

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