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:

[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.

[gmjammin]

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

[fnxphnx]

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

[abacaabaca]

Mr, this video is really good.
I wanted to try to code this for a really long time.

No YouTube video has explained about this before.
So, thank you so much for the lesson.

[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-pczc]

Wow nicely done friend. Top notch animations and explanation

[GGGG_]

I never thought that it was this easy 😅.
Now I really want to know more 😍.

[JohnFekoloid]

This is great. Thanks for this wonderful explanation.
So every CAD program that draws spines is just doing a bunch of matrix calculations really really fast.

[bradley]

As a programmer who didnt like school to much. I wish I would have paid more attention in class. Seeing matrixs popping up in many of my recent projects. Im working on learning 3d graphics by writing my own custom renderer. And working on making an algo trading bot. Im hoping I can use this video to clean up the noise a bit in trades. And possibly predict following ones. Although im not sure if the market would follow a set of rules.

[MikeSaintAntoine]

Anyone else watching this because of the KAN paper that just came out? lol

Great video! 👍

[AayushJariwala-jn]

At every point in the video, I was afraid that he was gonna show some weird formula I would not understand and have to close the video but every single detail was taught visually and mathematically, there is nothing left to understand.

[JoeX]

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

[jeffhall]

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

[newtonsaheb]

Fitting curves from my experiments to guess the type of equation i need to find lol