Splines in 5 Minutes: Part 2 -- Catmull-Rom and Natural Cubic Splines

Equivalent to a 50 minute university lecture on Catmull-Rom and Natural Cubic Splines. Part 2 of 3 on splines.
Part 1:    • Splines in 5 minutes:  Part 1 -- cubi...  
Part 3:    • Splines in 5 minutes:  Part 3 -- B-sp...  

0:00 - intro
0:16 - higher order polynomial fitting
0:49 - piece-wise cubic curves
1:32 - knots and C1 continuity
2:03 - Catmull-Rom splines
2:37 - Catmull-Rom fitting = convolution with a cubic kernel
3:00 - natural cubic spline
5:16 - C2 continuity
5:39 - natural cubic spline minimizes the squared second derivative
6:16 - local control

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 class  
See here for more information: https://g5m.cs.washington.edu/