I have a curve represented as a parametric function, z(t)=(x(t), y(t)), x=f(t), y=g(t). If I wanna find a approximate curve using least square(using polynomial funtions), am I supposed to get one for x and one for y or just one for z?
Using least square to fit a parametric curve
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So the problem is like this: given a parametric curve r(t) = (x(t), y(t)), find a approximate cubic polynomial curve. I collect multiple points in x(t) and y(t) and then use least square to find a corresponding curve for x(t), y(t). The final approximate curve is like r'(t) = (x'(t), y'(t))