I want to know how to plot the intersection of a 3D picture with a plane.

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seth wade 2019-5-19

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评论： Star Strider 2019-5-19

采纳的回答： Star Strider

I want to know how to plot the intersection of a 3D picture with a plane.

For example, my matlab code is

x=-10:0.1:10;

y=x;

[x,y]=meshgrid(x,y);

z=1-5*x.^2+3*y.^2+7*x.*y+4*x-9*y;

mesh(x,y)

I want to look at the intersecting line with z=c or z=ax+by(c,a,b are constant)

what matlab code can implement?

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Star Strider 2019-5-19

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I am not certain what you want.

Try these:

x=-10:0.1:10;
y=x;
[x,y]=meshgrid(x,y);
z=1-5*x.^2+3*y.^2+7*x.*y+4*x-9*y;
figure
c = 1;
mesh(x,y,z)
hold on
contour3(x,y,z, [c,c], 'LineWidth',2, 'Color','k')              % One Contour Level At ‘c’
hold off
figure
c = 20*x+15*y;
mesh(x,y,z)
hold on
plot3(x,y,c, 'LineWidth',2, 'Color','g')                        % Plane Defined By ‘c’
hold off

I want to know how to plot the intersection of a 3D picture with a plane - 2019 05 18.png

Experiment to get different results.

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seth wade 2019-5-19

And i have a question, what's the meaning of [c,c] in counter3

Star Strider 2019-5-19

That defines one level of the contour. See Contours at One Level (link) for details.

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