SubscribeFourier's theory will never make any face since it's like you said an addition of sines with their Fourrier coefficient. But this for regular curves and not parametric ones that could do so. Sorry to break your dreams like that, but I had to tell it to you. The explanation given in the link is not the easiest to understand Fourrier and his theory.
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posted by geos at 9:12 AM on November 2, 2007