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
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 UA-cam 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.
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
Hello! I think the value of a1 should be zero. How can be a1 be non zero from equation 9? Kindly address. It claims the first spline always should be linear.
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
It seems the author corrects himself at 3:52
Hello! I really appreciate how transparent and clear your notes are. What do you use to create them?
Notability on iPad!
@@StudySessionYT THANK YOU!
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 UA-cam 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.
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
Hello! I think the value of a1 should be zero. How can be a1 be non zero from equation 9? Kindly address. It claims the first spline always should be linear.
This was great!
great video !!
why all put exclamation mark
cubic spline inerpolation when?
oof took me 2 mins to solve but answer is wrong AHAHAHA
yamete kudasai!