How to compute one optimized coordiante for each point groups as highlighted (blue)?

I have red points with X Y Z coordinates as below. I want to compute one optimized X Y Z coordinates for each point groups(blue drawing)

[Adam Danz]

Are you working with a grouping variable or would you also need to compute the groups?

Answer 1

[Pratheek]

Hey Abb,

If you need to compute groups from random points, you can use clustering techniques. Refer this link for more information: Cluster Analysis and Clustering Algorithms - MATLAB & Simulink (mathworks.com)

Once you have computed the groups, you can find the centroid of each group to obtain the optimized coordinate of each group.

% Set the number of points 
n = 10; 

% Generate random x, y, and z coordinates 
x_coords = rand(n, 1); 
y_coords = rand(n, 1); 
z_coords = rand(n, 1); 
 
% Create a matrix of coordinates 
coords = [x_coords, y_coords, z_coords]; 

% Plot the points in 3D space 
scatter3(coords(:,1), coords(:,2), coords(:,3), 'filled'); 
xlabel('X'); 
ylabel('Y'); 
zlabel('Z'); 
title('Random Points in 3D Space');

% Calculate the centroid of the points 
centroid = mean(coords, 1); 

% Plot the centroid in a different color and larger size 
hold on; 
scatter3(centroid(1), centroid(2), centroid(3), 100, 'r', 'filled'); 
hold off;