Bézier curves parameterise a curve with points. When people talk about "fitting a curve" I would expect they mean fitting a model rather than that the curve is

Bézier curves parameterise a curve with points. When people talk about "fitting a curve" I would expect they mean fitting a model rather than that the curve is fully determined by the points. Typically people fit linear or low-order polynomials, it'd be a weird day where someone wanted to use a Bézier for their model - those curves weren't designed for being statistically tractable or interesting. See https://en.wikipedia.org/wiki/Curve_fitting https://en.wikipedia.org/wiki/Curve_fitting