Having worked in various 3d NURBS design software packages (as an end user, not as a programmer) it's driving me nuts to see that first section with zero curvature. I think about how the "curvature combs" would look in a program like Alias Studio. I originally wrote, asking you how this scales to cubic interpolation, and if cubic would be sufficient to achieve curvature continuity, but then after posting my question RU-vid suggested your video on exactly that topic. For a non-mathematician who loves to mess around with this stuff, your videos are fantastic! Many thanks for your work here.
3:43 why is P1(x) expressed as a1x^2 + b1x^2 + c1? Shouldn't b1 only have x instead of x^2? This is only done for P1 P2, P3 are both written in the form of ax^2+bx+c
I'm going to assume this must be a typo, since the equations are written correctly at 2:00 But this leads to wildly different results so hopefully somebody else can correct me if needed
thank you for the series on interplation, possibly the clearest explanation out there :) however the link for "Quadratic spline interpolation theory" in the description is wrong, it redirects to linear spline interpolation video instead
