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 -- cubic curves   Part 3:    • Splines in 5 minutes:  Part 3 -- B-splines...   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/