Splines in 5 minutes: Part 3 -- B-splines and 2D
2024 ж. 17 Мам.
23 798 Рет қаралды
Equivalent to a 50 minute university lecture on B-splines and 2D splines. Part 3 of 3 on splines.
Part 1: • Splines in 5 minutes: ...
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:
• Graphics in 5 minutes ...
See here for more information: g5m.cs.washington.edu/
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!
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.
great video! Thank You
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.
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.
it's really a good video！
Thank you
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?
If you only have 3 control points you cannot make a cubic B-Spline. It needs at least 4. To get the curve to pass through the first or last control points (or any other control point for that matter), you can just repeat that control point multiple times in the sequence of control points. Hopefully that makes sense and I hope I didn’t get anything wrong.
Part 1 -- Cubic Curves kzhead.info/sun/jLGlYpmhenWImK8/bejne.html Part 2 -- Catmull-Rom and Natural Cubic Splines kzhead.info/sun/d7Csoc-PjWh5lJ8/bejne.html Part 3 -- B-Splines and 2D kzhead.info/sun/fduHZJeJeJ58aGg/bejne.html
1:14 poor unhappy B-spline... 🥺
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. 👍🤌