The Continuity of Splines

Another upvote for Freya Holmér's amazing video "The Continuity of Splines". She covers the insightful "reflection test" around the 28:05 mark: [VIDEO] and actual "curvature combs" at 32:26. Finally, she covers the continuity of curvature combs that B-Splines exhibit around the 54:00 mark: [VIDEO]

Oh lovely, can't wait to give this a watch. Freya dives deep, and gives wonderful talks. Her video "The Continuity of Splines"[0] is my favorite watch of the past year. [0] [VIDEO]

If this paper is interesting to you, you may also be interested in this amazingly well done video on the continuation of splines. It isn't exactly the same thing, and delves into some deeper concepts, but I've watched it like 3 times over the last year. [VIDEO]

the splines yt video ( [VIDEO] ) is (IMHO) one of the best educational videos on a programming topic, full stop.

I didn't really understand Bézier splines until I watched this excellent video [0] from Freya Holmér. It talks about various kinds of splines, and the various equations behind them. Explains the importance of the derivatives of splines (as other comments here have pointed out). [0]: [VIDEO]

If splines/beziers are of any interest to you, I could not recommend these videos from Freya Holmer enough. [VIDEO] [LINK]

For me, it's Bézier curves --- Freya Holmér has a wonderful video on them: [VIDEO] and I've been trying to read through _METAFONT: The Program_ and [LINK] and I keep wondering if I shouldn't just try scripting Inkscape.... I want to do a couple of different things, and not sure if they all fit in one project or no: - implement a single line font in my current project: [LINK] - implement a way to convert arbitrary curves into smooth arcs (for DXFs or G2/G3 arcs for G-code) - work up an interactive version of METAFONT/METAPOST which allows both programming and drawing

Anytime béziers are mentioned on HN, I feel compelled to share these absolutely incredible videos from Freya Holmér [VIDEO] (73 minutes) [LINK] (24 minutes)