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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 reg₁⊖reg₂={d|d⊕reg₂⊆reg₁} where a⊕b is RegionDilation.
RegionErosion[reg₁,reg₂,{u,v}] returns u reg₁⊖v reg₂={d|d⊕v reg₂⊆u 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:

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