Obtain cross section from a plot

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JoshuaOsi George 2021-4-8

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编辑： DGM 2021-4-10

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.

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JoshuaOsi George 2021-4-8

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 2021-4-8

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)

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Answer 1

DGM 2021-4-8

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https://ww2.mathworks.cn/matlabcentral/answers/796137-obtain-cross-section-from-a-plot#answer_670837

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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