Plotting in a 3D space from different perspectives

Hello,

I would like to plot the following (s,k,w) domain

s<0 & k>3+11.1282s^2 & 
(1/32)(27-3*sqrt(6)+sqrt(111+46*sqrt(6))[(k-3)^2/s]+10s > w >[(k-3)^2/s] + 10s

To have a clear view of the domain, it would be useful to have three plots from three perspectives, namely (s,k), (s,w) and (k,w). How to achieve this with Matlab?

Thanks!

Answer 1

[Ced]

You can use the view function and e.g. pass it the viewing angles. See here for a simple example.

[Cédric Cavents]

Thanks for the answer! This is how I implemented the existence domain

s = linspace(-10,0);
k = linspace(3,20);
w = linspace(-50,0);
[S,K,W] = meshgrid(s,k,w);
I = (K>3+11.1282*S.^2) & (W > ((K-3).^2)./S + 10*S) & ( W < (((K-3).^2)./(32*S))*(27-sqrt(111+46*sqrt(6))-3*sqrt(6))+10*S);
figure(1)
scatter3(S(I),K(I),W(I),'filled')
xlabel('skewness')
ylabel('kurtosis')
zlabel('hyper skewness')
az = 0;
el = 90;
view(az, el);

However, I find the result quite strange. Especially, the view of (skewness vs kurtosis) which is far from a parabola. Do you have any alternative suggestions to implement the domain?

Thanks!

[Ced]

For me, the issue is that your different axes have very different scaling. And you have a coarse grid, which results in these strange sections.

You could e.g. normalize your axes according to the relevant range and use "axis equal".

If you only need projections, I would treat each projection separately, i.e. W-S, S-K, K-W. This will allow you to significantly increase the number of points plotted, and will result in a denser grid.