Create closed curve from intersection between multiple curves
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Hi, i wonder if it is possible inside Matlab to create a unique closed curve from the inner intersection between multiple curves. Actually i am creating the intersection manually on CAD by elaborating the vector images output.
What i get from Matlab:
What i'm doing manually (and i would love to implement inside matlab)
Thanks for the support!
Regards,
Mattia
采纳的回答
polyshape is pretty good for this, but you need to give it polygons not curves (i.e. define what's inside and what's outside). Nice bonus is that you get a shape, so you can both plot it and get stats like area:
t=linspace(0,2*pi,100)';
t=t(1:end-1);
x=3*cos(t)-2;
y=3*sin(t)-2;
p1 = polyshape([x y]);
p2 = nsidedpoly(100,'Radius',4,'Center',[1 1]); % shortcut for regular polygons
p3 = nsidedpoly(4);
hold on
p1.plot('FaceColor',[.6 .4 .4]) % plot as polyshapeobject.plot...
p2.plot('FaceColor',[.4 .6 .4])
p3.plot('FaceColor',[.4 .4 .6])
intersected_p = p1.intersect(p2).intersect(p3);
plot(intersected_p,'FaceColor','r','LineWidth',2) % ...or plot(polyshape)
intersected_p.area
1 个评论
John D'Errico
2021-11-23
Polyshapes are a great tool in MATLAB. Here, I would say they are literally the perfect solution. As good as your initial polygons can finely approximate the original shapes as polygons.
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