Would the Fourier transform constitute an interpolation scheme where the basis functions are sinusoids?

yang991178

I think Fourier transform is more of a decomposition instead of an interpolation, since it is not designed to take in N control points and reconstruct the desired function.

Would the Fourier transform constitute an interpolation scheme where the basis functions are sinusoids?

I think Fourier transform is more of a decomposition instead of an interpolation, since it is not designed to take in N control points and reconstruct the desired function.

how do you choose your basis?