New video: The Continuity of Splines
Added 2022-12-08 10:36:35 +0000 UTCAfter a very difficult year, it is finally done!!
I am legitimately so lucky to be able to spend all this time digging deep into topics I'm interested in, and sharing it with the world, and you've all helped make this possible!
Thank you all so much, I couldn't have done this without you!!
// Freya ❤
Comments
Thanks Freya, you are my hero.
Doug
2024-08-14 16:30:33 +0000 UTCSo, cubic hermite splines are only C1 continuous, which means acceleration and jolt are discontinuous at control points. They do auto-calculate whatever acceleration and jolt is required to meet the constraints of the control points, but they don't work to minimize jolt none of the splines I covered are specifically designed to minimize jolt, which is a bit of a different question altogether. It might be the case that some of them do by accident, but to find an optimal path to minimize energy (or jolt) is something that's more in the realm of path planning and energy optimization, rather than pure splines. my guess would be that the B-spline does the best job at minimizing it, but even that one is still not continuous in jolt across control points, only in acceleration, unless you constrain the control points further with optimization algorithms
Freya Holmér
2024-08-14 16:15:04 +0000 UTCFreya, I hope you can clear up a confusion I have. At 40:24, when describing a Hermite spline, you say “It effectively auto-calculates the acceleration and jolt to make this curve”. At 42:44, still describing a Hermite spline, you say “In other words, while this spline doesn't meet the criteria for C2 continuity, it is always C1”. At 59:49, you give an example of a non-uniform single dimension over time Hermite spline. This non-uniform single dimension over time Hermite spline is exactly what I need to control each axis of a bridge crane in a factory setting (real life). However, it is critical that I account for Jerk. In the real world a crane experiencing Jerk is a bad thing. Your first statement makes me hopeful that Jerk will become non-existent, but your second statement makes me doubt that assumption. Can you please clarify or expand on this?
Doug
2024-08-14 13:35:41 +0000 UTCthank you! hope your head is still intact
Freya Holmér
2023-10-28 08:39:54 +0000 UTCWatching your talk at the Dutch Game Day 2023. My head only exploded a few times 🤣. Very nice presentation!
Merijn Vogel
2023-10-27 12:23:03 +0000 UTCthank you! and yes, the music was made by Jazz Mickle (https://queenjazz.bandcamp.com/), specifically for this video :) Except the bézier curve section track, which is the same as from the bézier video (although she made that one as well)
Freya Holmér
2022-12-22 20:00:26 +0000 UTCBeautiful movie length explanation of splines. Was the music tailor made for the video? The music flows so perfectly with the scenes it is lovely.
Merijn Vogel
2022-12-22 19:19:25 +0000 UTCMath noodles
Sebastian Verhagen
2022-12-21 01:08:45 +0000 UTCCONGRATS!! wow I love the new intro animation
Timothy J. Aveni
2022-12-08 17:40:03 +0000 UTC"It yeets off to fucking wherever" *LOL*
Daniel Brahneborg
2022-12-08 13:53:59 +0000 UTC
