For the math aficionados in this thread, I have a frequency domain related set of ideas I'd like to develop into a more rigorous mathematical theory. Basically, represent a curve as Chebyshev polynomial: T_1 represents a line, T_2 represents an arc, T_3 an Euler spiral, etc. Smooth curves have rapidly decreasing Chebyshev coefficients, and this whole thing is potentially a lot easier to work with than Fréchet distance, which is the usual error metric but very annoying.

This is conceptual and theoretical, but potentially has immediate application for computing a better offset of a cubic Bézier, used for stroke expansion.

If this sounds intriguing, a good starting point is the Zulip thread[1] I'm using to write down the ideas. I'd especially be interested in a collaborator who has the experience and motivation to coauthor a paper; I can supply the intuition and experimental approach, but the details of the math take me a long time to work out. (That said, I'm starting to wonder if engaging that slog myself might not actually be a good way to level up my math skills)

[1]: https://xi.zulipchat.com/#narrow/stream/260979-kurbo/topic/E...