Fitting models to 3D coordinates

Question

I have a customer who has collected coordinates of a device at various insertion distances and would like to fit a model / models to the data in order to obtain estimates of where the device will be.  Is this something that anyone has experience with?

wendytseng · Answer

Thanks, Sam.

With your FDE idea...how would X, Y, Z be the Y and X inputs (shape)?

SamGardner · Answer

You could try partial least squares, with the X,Y,Z coordinates as the response and the insertion depth as the factor.

Also, you could treat the X,Y,Z coordinate points as a curve and use FDE with the insertion depth as a supplementary variable.

Perhaps a simpler approach would be to model the coordinates X, Y, Z independently as a function of insertion depth.  You lose the correlation dependencies that the X, Y, and Z have on each other, but that may not matter.