# If you can use subdivision surfaces for 2D curves

I've seen how subdivision surfaces are good for 3D curves/modeling, but haven't seen anything on if it's good, or even usable, in 2D.

My question is just that, if (a) you can even use subdivision surfaces in 2D, and (b) if you can use it for 2D, if it's a good solution for modeling curves in 2D, or if not, what a good solution for modeling curves in 2D might be (if it's just bezier curves, or ideally something better / more powerful).

Here it suggests subdivision surfaces could be used in 2D, but not sure if they would be considered good for it. A simple subdivision algorithm for curves is the following. Consider a polyline consisting out of $$n$$ points $$P_0 \ldots P_{n-1}$$. Than for every iteration do the following steps:
Every exisiting position $$P_i => (P_{i-1} + 6 P_{i} + P_{i+1})/8$$ then add new positions on every edge between existing points using $$(4 P_i + 4 P_{i+1})/8$$ and repeat. In the limit this procedure will converge to uniform cubic B-splines.