Construction of various plots according to data with the NDGrid structure

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Andrew Sol 2023-1-14

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1894055-construction-of-various-plots-according-to-data-with-the-ndgrid-structure

编辑： Andrew Sol 2023-1-14

在 MATLAB Online 中打开

https://www.mathworks.com/matlabcentral/answers/1892575-slices-through-3-d-volumes-formed-by-1d-arrays?s_tid=srchtitle

This question addresses a slightly different aspect of the problem originally asked in the link above.

There are a number of parameters

, for which a multidimensional computational grid is formed. Then the condition of fulfillment/non-fulfillment of the inequality is calculated.

[X Y Z]=ndgrid(-1:0.05:1,-1:0.05:1,-1:0.05:1);
Xgen=[];
Ygen=[];
Zgen=[];
F = X.^2 + Y.^2 + Z.^2;
cond1 = F > 1/2;
cond2 = F < 1;
cond1 = double(cond1);  
cond2 = double(cond2);
cond1(cond1 == 0) = NaN;  
cond2(cond2 == 0) = NaN;
cond = cond1.*cond2;  
X = X.*cond; %A "mask" is superimposed on the parameters, showing at which points in space the inequality is fulfilled and at which it is not.
Y = Y.*cond;
Z = Z.*cond;

And then I got problems. I want to visualize the data obtained in a visual form so that I can see the internal structure (for this I thought to use the Contour, Contour3 or something like that) and use the resulting graphs to choose such a combination of parameters so that the inequality is fulfilled.

I decided to turn all the received data into two-dimensional tables with the following code:

for i=1:40 %Number of "pages" of the NDgrid
    Xgen = [Xgen; X(:,:,i)];
end
for i=1:40
    Ygen = [Ygen; Y(:,:,i)];
end
for i=1:40
    Zgen = [Zgen; Z(:,:,i)];
end

But even here I did not manage to build anything digestible, except for all the "layers" received.

surf(Xgen,Ygen,Zgen)

I tried to apply the Contour and Contour3 commands, but without success. I get just empty plots, because the values of the z-axes are constant. I hoped that they would help me visualize the structure of the resulting computational domain. I don't know any other commands. Please suggest a way out.