Comment on Curvature Beziers: Improving on a timeless recipeparentComments−adrian1713dIt’s trading one property for another, isn’t it? Standard beziers with symmetric handles are C1 continuous but not necessarily G2 continuous; author’s scheme is the other way around, which makes them better for some use cases and worse for others.−unconed13dThe C1 continuity you refer to is relative to the parametrization t=0..1 per segment. This is useless in practice.For e.g. animation purposes, you need to reparametrize to arc length which destroys the apparent C1 continuity.
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It’s trading one property for another, isn’t it? Standard beziers with symmetric handles are C1 continuous but not necessarily G2 continuous; author’s scheme is the other way around, which makes them better for some use cases and worse for others.
The C1 continuity you refer to is relative to the parametrization t=0..1 per segment. This is useless in practice.
For e.g. animation purposes, you need to reparametrize to arc length which destroys the apparent C1 continuity.