How to plot a ground surface in 3D using meshgrid?

Question

Nilly 2020-10-3

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https://ww2.mathworks.cn/matlabcentral/answers/604270-how-to-plot-a-ground-surface-in-3d-using-meshgrid

回答： Cris LaPierre 2020-10-3

I have been trying to generate a inclined surface in order to use in 3D slope stability calculations. I have an example of surface that I made manually like it is shown below.. However, I woul like to do the same using meshgrid and I could not figure out how. Once I manage to plot it then I will use that surface to locate an ellipsoid in. Thanks in advance.

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Answer 1

Cris LaPierre 2020-10-3

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This is one way. You can use meshgrid to turn vectors into matrices with values repeated in rows and/or columns. However, only Z must be a matrix. X and Y can be vectors. So here I define the slope along X, and then use meshgrid to repeat it for all values of Y. I tried to be tricky with computing the slope but mostly succeeded in making it look more complicated than it needs to be.

x = linspace(-7,9,17);
y = linspace(-4,4,9);
low = 2.6;
high = 3.4;
step = 0.1;
flat = 4;
z = (low-flat*step):step:(high+flat*step);
z(z<low) = low;
z(z>high) = high;
[Z,~] = meshgrid(z,y);
mesh(x,y,Z,'EdgeColor','k')
grid off