How to create a 4D surface from scattered data?

I have 245 results of a variable C, which are the combination of 3 indepent variables x, y, z.

I am modelling on a CFD software which interpolates betwen these 245 results, and it would be really interesting to plot which points are the seeked points/ area of points.

I have tried with an scatter3 as shown below, but it is not very graphic. Could not make "surf" work as I intended. Does anybody have an idea of a more graphic way to do this?

Thank you

figure(3)
clf
scatter3(Ti(:,1), Ni(:,1), Ai(:,1),100,Mapeado020(:,5),  "filled")  %245 results which were interpoled
hold on
scatter3(TcK020(:,1), Nc020(:,1), Ac020(:,1),"red","x")  %simulation 1 points
scatter3(TcK530(:,1), Nc530(:,1), Ac530(:,1),"blue","x") %simulation 2 points
scatter3(TcK540(:,1), Nc540(:,1), Ac540(:,1),"green", "x") %simulation 3 points
colormap("cool")
hold off

Answer 1

[arushi]

Hi Xavier,

I understand that you have 245 results of a variable C, interpolated from 3 independent variables x, y, and z. You want to visualize these interpolated points in a more visually appealing way than a scatter plot. You have tried using the ‘surf’ function, but it did not work as expected. You are looking for alternative ideas or approaches to create a more graphic and visually appealing plot for these points.

You can use a combination of ‘scatter3’ and ‘color’ mapping to visualize the interpolated points with the additional variable. Here's an updated version of the code:

% Create a scatter plot with color mapping for the interpolated points
figure;
scatter3(Ti, Ni, Ai, 100, Mapeado020(:,5), 'filled');
hold on;

% Set the color based on the additional variable
scatter3(Ti, Ni, Ai, 100, Mapeado020(:,6), 'filled');


% Plot the simulation points
scatter3(TcK020, Nc020, Ac020, 'red', 'x');
scatter3(TcK530, Nc530, Ac530, 'blue', 'x');
scatter3(TcK540, Nc540, Ac540, 'green', 'x');



% Set labels and title
xlabel('X');
ylabel('Y');
zlabel('Z');
title('Interpolated Points with Simulation Points');

% Set colormap
colormap('cool');

% Add a colorbar
colorbar;

hold off;

Please refer to the following MATLAB Documentation to know more about ‘scatter3’ function:

https://in.mathworks.com/help/matlab/ref/scatter3.html

Hope the above solution helps you.