Consider that I have $3$ parametric equations as function of time and describe the motion of a body in space:
$x = f(t)$
$y = g(t)$
$z = h(t)$
These curves are pretty simple and can be modeled within a certain interval by a 2nd order polynomial.
Is it as simple as performing individual fitting on each function or that would break the time relationship between the functions?
Any pointers appreciated.
It should be appropriate to treat them independently since each is a function of time. The case where you have to worry is if f,g,h involve x,y,z. For example, if y=g(t,z,x) you could not treat them independently. Also if x=f(t,x) y=g(t,y) and z=h(t,z) you could still treat the x,y,z independently.