Matlab plot 4D data

Question

Yi Liu 2022-10-12

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1822963-matlab-plot-4d-data

回答： Keita Abe 2022-10-12

I want to plot 4d data on space x+y+z<=1,x>=0,y>=0,z>=0, so I use the following code

i=1;
for p=0:0.01:1
    for q=0:0.01:1-p
        for r=0:0.01:1-p-q
            [ua,ub]=BNE(p,q,r);
            E(i)=ua+ub;
            x(i)=p;
            y(i)=q;
            z(i)=r;
            i=i+1;
        end
    end
end
[X,Y,Z]=meshgrid(x,y,z);
surf(X,Y,Z,E)

But it failed. How plot the data (x,y,z,E). Where BNE() is the self-defining function.

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Answer 1

Keita Abe 2022-10-12

1
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1822963-matlab-plot-4d-data#answer_1072033

在 MATLAB Online 中打开

I found that two points for reconsindering

meshgrid function requires unique array of x, y, z.
surf function requires the surface definition but your input is volume data

If you would like to know the isosurface, I hope the following code would be helpful. Or if you would like to define the surface, the following link will be helpful. 2 次元または 3 次元の散布データの内挿 - MATLAB griddata - MathWorks 日本

i=1;
for p=0:0.01:1
    for q=0:0.01:1-p
        for r=0:0.01:1-p-q
            [ua,ub]=BNE(p,q,r);
            E(i)=ua+ub;
            x(i)=p;
            y(i)=q;
            z(i)=r;
            i=i+1;
        end
    end
end
[X,Y,Z]=meshgrid(unique(x),unique(y),unique(z));
vq = griddata(x,y,z,E,X,Y,Z);
isosurface(X,Y,Z,vq,0.5)
function [ua, ub] = BNE(p,q,r)
    ua = p+q;
    ub = q+r;
end