Sphere Intersection Curve

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manish sharma il 13 Nov 2011
Hi,
I am interested in visualizing (and locating) the points of intersection of three (or four) spheres.
*Region of my interest is the volume (of air or other material of the room) enclosed between intersecting spheres.
**The Center and Radius of both the spheres are known
This problem has me completely stuck.
Thank you.
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manish sharma il 16 Nov 2011
Thanks Sven!
I know the basics. I have drawn the spheres using:
[x1,y1,z1] = sphere(30);
x1=x1*6.3245;
y1=y1*6.3245;
z1=z1*6.3245;
mesh(x1-5, y1+5, z1) % where (a,b,c) is center of the sphere
hold on
[x2,y2,z2] = sphere(30);
x2=x2*10;
y2=y2*10;
z2=z2*10;
mesh(x2+5, y2+5, z2)
hold on
[x3,y3,z3] = sphere(30);
x3=x3*8.9443;
y3=y3*8.9443;
z3=z3*8.9443;
mesh(x3+5, y3-5, z3)
figure;surface(x1,y1,z1);surface(x2,y2,z2);surface(x3,y3,z3);view(30,30);grid
hold off
From this, I can easily get the image containing the three spheres.
Now, I want to move to next step. That is, plotting the curve enclosed between the intersecting spheres.

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