plotting points in 3D using distances between them

Ahilya Sawh

2018 5 15

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Hello, I have a matrix of distances between 10 points. i.e. distance between point 1 and all others, distance between point 2 and all others, etc. Is there a way to plot the positions of these points in a 3D graph based on the distance information? Thank you for your help!

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KSSV 2018-5-16

Yes there are multiple options to plot. What exactly you expecting? Any pictorial example? If you want to show as points you can use plot3 and scatter.

Ahilya Sawh 2018-5-16

Hello, Thank you for your reply, either plot3 or scatter would be great, but I am at a loss of how to use the matrix of distances as the input instead of x,y,z coordinates. For example, here is a sample 5x5 matrix of the distances between 5 points:

0.0 1.1 1.2 1.3 1.4

1.1 0.0 1.2 1.3 1.3

1.2 1.2 0.0 1.1 1.1

1.3 1.3 1.1 0.0 1.0

1.4 1.3 1.1 1.0 0.0

Row 1 is the distances between point 1 and points 2, 3, 4, 5. The diagonal values are zero since each is the distance between a point and itself. Could you please advise me on how to input this into plot3 or scatter to create a 3D plot?

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