Convert cross sectional data into surface

Hi, I have a set of cross sectional data distribution on a certain surface:

[5.8645 11.4836 12.6726 11.587 11.3566 10.2168 9.8317 10.0888 10.6236 10.8221 10.8221 10.6236 10.0888 9.8317 10.2168 11.3566 11.587 12.6726 11.4836 5.8645]

It's symmetrical around the center, how can I create a surface from this data?

[Matt J]

If it's a surface, shouldn't the data consist of x,y and z coordinates?

[Hassan Qandil]

yes, this is a cross sectional energy distribution over a circular surface of radius 25 mm, so the corresponding cross sectional length would be linspace(-25,25,20)

[Hassan Qandil]

so technically the x and y data is symmetrical (circle). and the given data above is the z data (though it is just the cross section value of the surface)

Answer 1

[Star Strider]

Here is one possible approach.

The Code —

V = [5.8645 11.4836 12.6726 11.587 11.3566 10.2168 9.8317 10.0888 10.6236 10.8221 10.8221 10.6236 10.0888 9.8317 10.2168 11.3566 11.587 12.6726 11.4836 5.8645];
Av = linspace(-1, 1, numel(V))*(10*pi/numel(V));
Rv = linspace(-1, 1, numel(V));
[R,A] = meshgrid(Rv,Av);
Z = ones(numel(Av),1)*V;

[X,Y,Z] = pol2cart(A, R, Z);

figure
surf(X, Y, Z)
grid on
shading(gca,'interp')
view(-30, 50)

The Plot —

You will have to experiment to get the result you want, including labeling the axis ticks as you want them.

This will get you started.

[Hassan Qandil]

It worked perfectly, thank you so much!

[Star Strider]

As always, my pleasure!

My apologies for not seeing your post a week ago.

[Taiwo Ajayi]

Hi Star Strider,

What if you had a non symmetric surface i.e. that is several crossections of vectors V1, V2, ... Is there anyway we can interpolate those crossections to come up with a surface?

[Star Strider]

Taiwo Ajayi — It might be possible to interpolate them using griddata or griddedinterpolant, or some other appropriate interpolation function. It would likely be necessary to concatenate them into a matrix first. I’m speculating here, because I have no idea what the data are. It will be necessary to experiment to see what works.