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Slide Bézier Control Points?
I managed to create this using a bunch of constraints which I suspect are not generalizable, but here's the concept: I've seen in other CAD systems that there are tools to "slide" the control points along a Bézier in a way which creates as little change to the shape of the curve as possible. I've looked around for research on this topic and it seems mostly like there's a lot of work on cubic Béziers, but I haven't found anything good in general. Any clues on where I might look?