Splines in 5 minutes: Part 3 -- B-splines and 2D

Equivalent to a 50 minute university lecture on B-splines and 2D splines. Part 3 of 3 on splines.

0:00 - intro
0:21 - bezier curves
1:09 - B-splines
2:34 - properties of the three spline types
2:53 - 2D curves
4:29 - controlling timing
5:10 - physical analogy: minimizing force

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:

[MakerDadDIY]

Thank you so much Dr. Seitz! These videos are great!

[RakVish]

Definitely the best resource to get started on splines with a strong intuition for what they are and why so many different versions exist!! Thank you so much for making this gem of a video!

[devrj]

Thank you professor Steve Seitz for taking time to create these videos. When I read the same cubic curve equation on a book, it is going over my head. you beautifully explained equation and the matrix representation visually. Please create these videos more, I'm a software engineer, trying to learn about graphics for my side project.

[tophat]

Such great videos. I mean really this is taking place in R3 with the bug moving along the time direction and you're just looking at it orthogonally.

Do that and the reason for the change in the angle of apparent.

[excortia]

Hello, i have a question, so when we are trying to reconstruct a curve given that points, which is best suitable option from this three spline options?

[xelth]

1:30 Bezier curve has equal intervals between all 4 control points, not the case with you.

[shubhammodanwal]

How you make such smooth animations, what software do you use, can u please tell??

[tomerodriguezrodriguez]

Are these really videos just to do graphs? I have tomorrow a semiparametric regression exam from a stats master's and this videos might be the most intuitive explanation I've found so far.

[TimothyChapman]

What about getting the end points of a B-spline to meet up with the first and last control points? Or what happens if there are only 3 points?

[ANJA-mjto]

Great comparation how to describe B-splines in a simple way ( few minutes). Can be so simmple in a settings. If we consider in civil engineering research and already mesh cell and consider what you say Neumman problem we can devide all in one research for instance in hydrology!
Simple approach but valuable for reserching. 👍🤌