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I have a dataset of trajectories. These trajectories are represented in 3D space (x,y,z). All trajectories of this dataset are similar in their shape, but they are not exactly the same, I mean, there is some variation along the points. The trajectories are nonlinear.

What I need is a kind of regression (polynomial?) on the data to fit the curve along the 3D points, at the end I need a smoothed trajectory, say a generalized one (result of curve fitting/regression).

I just find curve fitting for 2D data (x,y). Can anyone give hints of how to solve it? I heard about local polynomial regression on manifolds, but I dont know how it works, seems to be complex.

thank you in advance

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    This is probably off-topic: May I suggest http://math.stackexchange.com/ ? :)2011-01-28
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    I'd even suggest http://stats.stackexchange.com/ .2011-01-28
  • 0
    This might generate more answers in stats.stackexchange.com2011-01-28

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