Obtain cross section from a plot

Hello. I would like to get a cross section of my plot at this point X= (-1, 1, -1, 1), Y = (1, 1, -1, 1) Z = (0,0,0,0). How can I do this? Any help would be appreciated. thanks.

[KSSV]

What do you mean by cross section at a point? X, Y, Z should have three points right?

[JoshuaOsi George]

yh, it should. But I'm the cutting whole square surface. So the coordinates I have would be for the floor. Sorry I had a typo. The coordinates shouls be X= (-1, 1, -1, 1), Y = (1, 1, -1, -1) Z = (0,0,0,0). so cut at point (-1,1,0),(1,1,0),(-1,-1,0),(1,-1,0)

Supposing I want to cut the middle, it would be X= (-1, 1, -1, 1), Y = (1, 1, -1, -1) Z = (2,2,2,2).

coordinates (-1,1,2),(1,1,2),(-1,-1,2),(1,-1,2)

[JoshuaOsi George]

and then if I want to cut vertically ( middle), tne coordinates would be X= (0, 0,0, 0), Y = (1, 1, -1, -1) Z = (0,4,0,4).

coordinates (0,1,0),(0,1,4),(0,-1,0),(0,-1,4)

Answer 1

[DGM]

The answer is going to vary depending on how complicated you actually need to make it. If all you really need is going to be an intersection with a horizontal plane, then you can probably just use

contour(X,Y,Z,[h1,h2])

where h1,h2 are the z-level of the sample planes. If you only want one level, use [h1,h1].

[X,Y,Z] = supertoroid(0,[1 1 1 2],[4 4],100);

clf
subplot(1,3,1)
surf(X,Y,Z); shading flat; camlight; axis equal
subplot(1,3,2)
contour(X,Y,Z,[0 0.9]); axis equal
subplot(1,3,3)
contour(X,Z,Y,[0 1.2]); axis equal

If you want to make a section normal to either of the other two axes, then you can do that by swapping the X,Y,Z inputs to contour.

On the other hand, if you really need to make intersections between arbitrarily angled planes (or other surfaces), the problem gets a bit more complicated. In that case, you might want to take a look at the answer to this question and the associated blog post.

https://www.mathworks.com/matlabcentral/answers/259369-create-intersection-between-surface-and-oriented-planes

[JoshuaOsi George]

Hello Thanks @DGM. Is supertoroid a matlab function?

[DGM]

No, that's from this thing on the FEX. Sorry about that. This includes superellipsoid() and supertoroid().

https://www.mathworks.com/matlabcentral/fileexchange/58413-plot-superquadratic-surfaces?s_tid=srchtitle