Continuity of Splines Video (and more)

S1mon

This recent video (1 year in the making) is from Freya Holmér, who works in the game industry using Unity, but the math and information is universal. If you ever wanted to understand a bit more about Béziers vs B-Splines and G2 vs C2, this is great place to start.

There's some stuff about types of splines we do not have in Onshape (e.g. Catmull-Rom), but you will see that they're all related.

PS. I would also highly recommend these sources:
Curves and Surfaces by Bartosz Ciechanowski
A Primer on Bézier Curves by Pomax

roman_jurt190

Thanks a Lot! definitely implement (some of) this into my industrial design CAD class! 

S1mon

For an ID CAD class, you might also want to look at some of the stuff in here from Autodesk Alias, especially the Golden rules section. Again, it's a different tool, but the basic math is the same. I've learned a lot from that, plus various Alias and Rhino tutorials on Youtube.

bruce_williams

@S1mon Great stuff!  I have appreciated following your posts; thanks for sharing the references and especially the video by Freta.  I will be watching that multiple times!  What a beautiful explanation.