minkowskiSum

Compute the Minkowski sum of any two polygons or polyshapes, convex or concave.

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Updated 1 Dec 2022

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The Minkowski sum of two polygons
is simply computed for two convex polygons, but if they may be more general with concavities, the sum is slightly more complex. minkowskiSum will work for any pair of polygons (even self-intersecting polygons), returning a polyshape as a result.
Pa = polyshape([-1 2;0 2;-0.75 2.25;-1 3]);
Pb = polyshape([1 0;2 0;3 1;4 3;2 .3]);
plot(Pa)
hold on
plot(Pb)
MSumShape = minkowskiSum(Pa,Pb)
MSumShape =
polyshape with properties:
Vertices: [8×2 double]
NumRegions: 1
NumHoles: 0

Cite As

John D'Errico (2023). minkowskiSum (https://www.mathworks.com/matlabcentral/fileexchange/121478-minkowskisum), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2022b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.0