MATLAB: How to get the coordinates of hemispherical surfaces with rectangular mesh over it

coordinateshemispherical surfaceMATLAB

Hi all,

I am supposed to run a simulation in which i have to provide a surface with one hemispherical dimple over it. This surfaces is then supposed to be meshed with 256by256 node points. I am planning to create an excel file with the coordinates of Z along 256by256 mesh. I would like to know how to create a hemispherical concave surfaces and access the coordinates (which coincide with rectangular mesh nodes)over the hemispherical surface. Will appreciate your help. Thanks for your time.

Best Answer

I suggest you experiment with the sphere function until you get the result you want.

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MATLAB: Rectangular mesh using coordinates

B =5;
x1 = linspace(0,5/10,10);
y1 = linspace((B-B/12),B,10);
[X,Y] = meshgrid(x1,y1);
plot(X,Y,'r',X',Y','r')

MATLAB: Create rectangular mesh from non-rectangular mesh and interpolate

I figured out the best way for anyone who needs to do something similar. using 'slice' is out of the question, the remapping and interpolating just takes WAY too much computing time.

Instead, it was very quick and efficient to just recreate ONLY the slices I wanted to display via for loops, then use the 'surf' or 'scatter3' to display these. Even though they were 2D slices, they were still represented by T=f(x,y,z) coordinates in 3D space, so that's how I went about it and it did exactly what I needed it to.

Best Answer

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MATLAB: Rectangular mesh using coordinates

MATLAB: Create rectangular mesh from non-rectangular mesh and interpolate

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