I have a set of 3D points (x,y,z) , I want to take each point and calculate the sum of distances from all other points from this point and find the minimum of it , could you help me with codes?

I have a set of 3D points (x,y,z) , I want to take each point and calculate the sum of distances from all other points from this point and find the minimum of it , could you help me with codes?

Answer 1

[Image Analyst]

Did you try this:

distances = sqrt((xp - xyz(:,1))^2 + (yp - xyz(:,2))^2 + (zp - xyz(:,3))^2);
sumOfDistances = sum(distances);
[minDistance, indexOfMin] = min(distances);

where (xp, yp, zp) is the single point, and xyz is the array of all points?

[Akshit]

I think it does not work , because I want to try this for all of points (I mean (xp,yp,zp) is changing inside arrays ?!!?

[Image Analyst]

So put it inside a loop over p and do that code for every point p. Why can't you do that?

Answer 2

[Matt J]

See IPDM ( link )