News for hackers. Stuff that matters.

A comment on Closed form arc length parametrization is impossible for quadratic Bézier curves. Parent comment

Re:Closed form arc length parametrization is impossible for ... by jacobolus on Thursday July 18, 2024 @12:16AM (#40992471)
Pythagorean hodograph curves may be impractical (and therefore are rarely if ever used in practice), but they're a pretty theoretically cute idea. Farouki's book is nice.
[ Parent | on HN ]
Re:Closed form arc length parametrization is impossible for ... by LiamPowell on Thursday July 18, 2024 @12:27AM (#40992514)
We're using them in practice for C⁴ corner smoothing in a motion controller [1]. All credit for the actual maths to [2].

[1]: https://github.com/Prunt3D/prunt_notebooks/blob/master/Pytha...

[2]: https://link.springer.com/article/10.1007/s00170-022-09463-y

[ Parent | on HN ]
Re:Closed form arc length parametrization is impossible for ... by jacobolus on Thursday July 18, 2024 @12:33AM (#40992538)
Thanks for the links! What's Prunt, and does it have a website?
[ Parent | on HN ]
Re:Closed form arc length parametrization is impossible for ... by LiamPowell on Thursday July 18, 2024 @12:41AM (#40992562)
> What's Prunt, and does it have a website?

A motion controller for 3D printers (notably with crackle-constrained trajectory planning), and no website since it is still in the early stages.

[ Parent | on HN ]