How to plot the surface of multiple data sets ?

Question

Jean Volkmar 2021-8-20

1
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1437579-how-to-plot-the-surface-of-multiple-data-sets

评论： Star Strider 2021-8-20

I have three different data sets each being constant in the z/l axis and want to plot the surface of them. I got the 3d plot working using plot3() :

All three lines have the same amount of data points so it should not be that hard to connect each point of each line with a straight line.

Here's the code for the figure:

figure(35);
set(gcf,'position',[x0,y0,width,height])
plot3(porous_upper(pathnumber_10,1).values(:,xc_x)*scale_x,porous_upper(pathnumber_10,1).values(:,xc_x+2)*scale_z,porous_upper(pathnumber_10,1).values(:,yc_x),"DisplayName","Porous Upper 1 p -10");
hold on;
plot3(porous_upper(pathnumber_10,2).values(:,xc_x)*scale_x,porous_upper(pathnumber_10,2).values(:,xc_x+2)*scale_z,porous_upper(pathnumber_10,2).values(:,yc_x),"DisplayName","Porous Upper 2 p -10");
hold on;
plot3(porous_upper(pathnumber_10,3).values(:,xc_x)*scale_x,porous_upper(pathnumber_10,3).values(:,xc_x+2)*scale_z,porous_upper(pathnumber_10,3).values(:,yc_x),"DisplayName","Porous Upper 3 p -10");
title(["Pressure p above porous layer";"Sidecoefficent Test -10"],'interpreter','latex',"FontSize",20)
set(gca, 'YDir','reverse')
xlabel('X/L', 'Interpreter','latex',"FontSize",16);
ylabel('Z/L', 'Interpreter','latex',"FontSize",20);
zlabel('$p$', 'Interpreter','latex',"FontSize",20);
legend("show","Location","Best","AutoUpdate", "off");

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Answer 1

Star Strider 2021-8-20

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1437579-how-to-plot-the-surface-of-multiple-data-sets#answer_771379

在 MATLAB Online 中打开

It would help to have the actual data.

N = 20;

X = (0:N-1);

Y = [1:3].'+zeros(size(X));

porous_upper = rand(20,3)+[0:2];

figure

plot3(X, Y(1,:), porous_upper(:,1))

hold on

plot3(X, Y(2,:), porous_upper(:,2))

plot3(X, Y(3,:), porous_upper(:,3))

hold off

grid on

figure

surf(porous_upper.')

Make appropriate changes to work with your data.

.

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Star Strider 2021-8-20

在 MATLAB Online 中打开

My pleasure!

I am not certain what result you want.

One option (essentially my previous code with your data) —

T1 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717019/Porous_Upper_1.csv', 'VariableNamingRule','preserve');

T2 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717009/Porous_Upper_2.csv', 'VariableNamingRule','preserve');

T3 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717014/Porous_Upper_3.csv', 'VariableNamingRule','preserve');

% Q1 = [size(T1); size(T2); size(T3)]

Q1 = 3×2

1001 9 1001 9 1001 9

X = [T1{:,7} T2{:,7} T3{:,7}];

Y = [T1{:,9} T2{:,9} T3{:,9}];

Z = [T1{:,4} T2{:,4} T3{:,4}];

figure

hold on

for k = 1:size(Z,2)

plot3(X(:,k), Y(:,k), Z(:,k))

end

hold off

grid on

view(150,30)

xlabel('X')

ylabel('Y')

zlabel('Z')

legend(compose('Upper Porous %d', 1:3), 'Location','bestoutside')

figure

meshc(X, Y, Z)

% surfc(X, Y, Z, 'EdgeColor','none')

grid on

view(150,30)

xlabel('X')

ylabel('Y')

zlabel('Z')

Make appropriate changes to get the result you want.

.

Star Strider 2021-8-20

在 MATLAB Online 中打开

My pleasure!

Reducing the mesh density requires reducing the plotted data, since the data define the surface. I am not certain what result you want. One option is to use surf (or surfc instead, my initial choice), and ‘turn off’ the edge lines:

T1 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717019/Porous_Upper_1.csv', 'VariableNamingRule','preserve');

T2 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717009/Porous_Upper_2.csv', 'VariableNamingRule','preserve');

T3 = readtable('https://www.mathworks.com/matlabcentral/answers/uploaded_files/717014/Porous_Upper_3.csv', 'VariableNamingRule','preserve');

% Q1 = [size(T1); size(T2); size(T3)]

X = [T1{:,7} T2{:,7} T3{:,7}];

Y = [T1{:,9} T2{:,9} T3{:,9}];

Z = [T1{:,4} T2{:,4} T3{:,4}];

figure

surfc(X, Y, Z, 'EdgeColor','none')

grid on

view(150,30)

xlabel('X')

ylabel('Y')

zlabel('Z')

or alternatively using the shading function:

figure

surfc(X, Y, Z)

grid on

view(150,30)

xlabel('X')

ylabel('Y')

zlabel('Z')

shading('interp') % Added

Rotate it using the view function to the orientation you want.

.

Jean Volkmar 2021-8-20

Alright thanks alot ! :)

Star Strider 2021-8-20

As always, my pleasure!

.

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