How to draw a second order cone relaxation using matlab?

Hello Dears

We know that X.Y=Z^2+Q^2 is a cone (lce cream cone or empty cone). I know how to draw this cone on Matlab. However, I don't know how to draw

X.Y>= Z^2+Q^2 (as we are fiiling the cone). Any help in doing that?

Regards

[darova]

What you want you fiilnd the cone with?

[Abdelrahman Aldik]

It's line having a cone with a closed lid instead of having a empty cone with an open lid. I'm not sure if I'm clear enough?

Regards

Answer 1

[Abhisek Pradhan]

patch() function can be used to create a polynomial fitting to the open end of the cone and putting it over it.

Following code shows simple way to generate a cone with closed lid.

N = 10;
r = linspace(1, 0, N);
[X,Y,Z] = cylinder(r, N);
figure(1)
surf(X,Y,Z);
patch(X,Y,Z);