How do I outline the intersection between a plane an a cone in 3D?

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Satwik Misra 2019-6-24

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/468664-how-do-i-outline-the-intersection-between-a-plane-an-a-cone-in-3d

编辑： Satwik Misra 2019-6-29

I have 2 3D graphs of a plane and cone, and while they obviously intersect, I want to find a way to highlight their intersection in a different color. How would I go about doing this?

Here is the code for the existing graphs

r = linspace(0,2*pi) ;
th = linspace(0,2*pi) ;
[R,T] = meshgrid(r,th) ;
X = R.*cos(T) ;
Y = R.*sin(T) ;
Z = R ;
figure
surf(X,Y,Z)
hold on
surf(-X,-Y,-Z)
[x, y] = meshgrid(-1:0.1:1); % Generate x and y data
z = 5* x;
s = surf(x,y,z) %Plot the surface
s.EdgeColor = 'red'
colorbar

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Matt J 2019-6-24

编辑：Matt J 2019-6-24

What is the difference that you see between the outline of the conic section and the intersection? Do you mean the cone is not hollow and you want to shade the 2D region of intersection with the solid cone, enclosed by the conic section?

Satwik Misra 2019-6-25

编辑：Satwik Misra 2019-6-29

Yes that is exactly what I mean, sorry if I was unclear before. It honestly doesn't matter whether it is an outline or whether the intersection is shaded, but I just want to see both 3D graphs along with the intersection.

Edit: It would also be helpful if I could extrapolate the 2D part of the graph that shows the intersection

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