Splines in 5 minutes: Part 1 -- cubic curves

Equivalent to a 50 minute university lecture on splines, beginning with cubic curves. Part 1 of 3.
0:00 - Intro
0:36 - drafting splines and duck weights
1:17 - minimizing bending energy
2:40 - cubic curves
3:28 - fitting cubic curves
5:02 - tangent constraints
Graphics in 5 minutes is a series of cartoon-style videos that teach computer graphics in 10x less time. You can take the equivalent of a University level computer graphics course in just over two hours. The playlist is here:
• Graphics in 5 minutes ...
See here for more information: g5m.cs.washington.edu/

[@abacaabaca8131]

Mr, this video is really good.
I wanted to try to code this for a really long time.
No UA-cam video has explained about this before.
So, thank you so much for the lesson.

[@SteveHayles]

Absolutely amazing! As a non-mathemetician programmer this is by far the best explanation of splines and I've learnt more in 5 minutes than I have in months of other reading and study.

[@MikeSaintAntoine]

Anyone else watching this because of the KAN paper that just came out? lol
Great video! 👍

[@gmjammin4367]

thank you for these videos. Your channel is incredibly underrated.

[@fnxph03n1x]

That was really well explained! Thanks for all the work and effort you put into these

[@abhishek.goudar]

These series of videos grounded the concept for me. Thank you so much!

[@PranavAshok]

You are really gifted at this! Thank you so much!

[@visitante-pc5zc]

Wow nicely done friend. Top notch animations and explanation

[@afendin]

Thank you. This is clear enough!

[@Mulkek]

Thanks, and explain so clearly!

[@bernardo231]

Thank you! Greetings from Brazil

[@harunk.2635]

Thank you very much sir

[@JoeX92]

4:18 Do you have a video about how are the matrix equations solved?

[@visitante-pc5zc]

Any linear algebra software can do that. Octave, matlab, numpy.
You can even code your own. There are dozen of solvers available

[@JoeX92]

@@visitante-pc5zc I know... I need the equation... Not just a program to solve it... To program it I need the equation anyways...

[@UzunKamis]

Part 1 -- Cubic Curves ua-cam.com/video/YMl25iCCRew/v-deo.html
Part 2 -- Catmull-Rom and Natural Cubic Splines ua-cam.com/video/DLsqkWV6Cag/v-deo.html
Part 3 -- B-Splines and 2D ua-cam.com/video/JwN43QAlF50/v-deo.html

[@jeffhall4214]

What if the spline is in 3D space and now there's a Z component as well? How do we account for that?

[@g5min]

see part 3...

[@jeffhall4214]

Thank you sir. @@g5min