Create closed curve from intersection between multiple curves

Question

Mattia Deriu 2021-11-23

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https://ww2.mathworks.cn/matlabcentral/answers/1594029-create-closed-curve-from-intersection-between-multiple-curves

评论： John D'Errico 2021-11-23

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

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Answer 1

Dave B 2021-11-23

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1594029-create-closed-curve-from-intersection-between-multiple-curves#answer_838599

在 MATLAB Online 中打开

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

ans = 1.2280

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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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