Random point inside a polygone

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Create random point inside a polygone
Updated 15 May 2019

If you have a 2D CONVEX polygone and you want to create uniform point indise it, you can use randPolygone. The function is based on another (provided) function randTriangle that work on triangle.

Uniform means each area of your polygone has the same chance to be taken.

Here are some examples:

triangle = [0,0;10,0;2,3];
losange = [0,0;2 ,1;0,2;-2,1];
carre = [0,0;2 ,0;2,2; 0,2];
hexagone = [0,0;1,0;10,1;30,8;20,8;0,5];
dodecagone = [cos(linspace(0,2*pi,13))',...
sin(linspace(0,2*pi,13))'];
dodecagone(end,:) = [] ;

rTriangle=randPolygone(triangle,1e4);
rLosange=randPolygone(losange,1e4);
rHexagone=randPolygone(hexagone,1e4);
rCarre=randPolygone(carre,1e4);
rDodecagone=randPolygone(dodecagone ,1e4);

figure
scatter(rTriangle(:,1),rTriangle(:,2),'.')

Cite As

Stephane Dauvillier (2024). Random point inside a polygone (https://www.mathworks.com/matlabcentral/fileexchange/71398-random-point-inside-a-polygone), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2016b
Compatible with R2016a and later releases
Platform Compatibility
Windows macOS Linux
Categories
Find more on Elementary Polygons in Help Center and MATLAB Answers