Random point inside a polygone

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),'.')