I am writing a code for $~3~$ dimensional clustering. I have radar data in range $~\theta~$ and velocity domain. But to do clustering, I need it to be in the Cartesian form to use the euclidean distance. As for $~r~$ and $~\theta~$, I can do $(r~\sin(\theta))$ and $(r~\cos(\theta))$ to get $~x~$ and $~y~$.
I am not sure how to get the $~z~$ axis here using the radial velocity.
Any help would be greatly appreciated. Thank you
Best, V