[panzerboiler]

A Bézier curve is not an interpolating spline. It is a parametric curve defined by a set of control points, which the curve typically does not pass through (except the first and last points). Bézier curves exhibit local control (changing a control point influences only a portion of the curve, especially in piecewise Bézier constructions). Interpolating splines may seem more user-friendly at first, since the curve passes exactly through all the given points. However, this can lead to unintuitive behavior: modifying a single point can cause global changes in the curve, including in areas far from the edited point. In some cases, these changes can be drastic, making precise control difficult or impossible. I may be biased by my 20+ years of graphic design work, but I prefer the precision and control given by Bézier curves.

[ttoinou]

The person you're answering to is not suggesting interpolating curves. Piecewise quadratic bezier curves are very local, two quadratic bezier curves can approximate well a 3rd degree bezier curve

[panzerboiler]

I probably misunderstood their message. By the way, two quadratic curves can approximate well a tiny subset of what a cubic bezier can represent. The number of quadratics required in the general case can grow quite substantially, very quickly.

[childintime]

That's it, thank you for discussing this.