The Continuity of Splines [video]
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The Continuity of Splines [video]
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Re: The Continuity of Splines [video]
#2I’ve been following Freya’s work [0] for a while. She works in the game industry working with Unity, hosts a bunch of Discord channels, and live streams about game math and shaders. This video is relatively long, but it’s one year in the making. If you ever wanted to understand a bit more about Béziers vs B-Splines and G2 vs C2, this is great place to start.
PS. I would also highly recommend these sources which have been covered before on HN:
Curves and Surfaces by Bartosz Ciechanowski [1]
A Primer on Bézier Curves by Pomax [2]
Re: The Continuity of Splines [video]
#3Super cool video, it explains a lot of stuff in a nice visual way
Re: The Continuity of Splines [video]
#4Truly a masterpiece of technical communication! Mind blowing to think about how much work went into this video.
Re: The Continuity of Splines [video]
#5Truly a masterpiece of technical communication! Mind blowing to think about how much work went into this video.
She made the animation library used to make the presentation https://acegikmo.com/shapes/ How much work indeed!
Re: The Continuity of Splines [video]
#6Speaking about this taking her a year to produce, there was a new Unity release last week that effectively preempted her own work on a Spline tool for the asset store where her previous work is quite popular.
Re: The Continuity of Splines [video]
#7I think the secret to get the C2 splines that pass through the control points right is to not just increase the degree but also add two more points, i.e. not 4 but 6 segments.
Re: The Continuity of Splines [video]
#8I think the secret to get the C2 splines that pass through the control points right is to not just increase the degree but also add two more points, i.e. not 4 but 6 segments.
See 'a class of c2 interpolating splines' - http://cemyuksel.com/research/interpolating_splines/
Re: The Continuity of Splines [video]
#9this is almost a 1:1 copy of the Bezier curve video posted some months ago. how is this video getting attention? Even has the same graphics...
Re: The Continuity of Splines [video]
#10I think the secret to get the C2 splines that pass through the control points right is to not just increase the degree but also add two more points, i.e. not 4 but 6 segments.
Just take C1 splines and integrate
l(t) = t x0 + (1-t) x1
m(t) = t^2 (x0 - x1) + t x1 + x2