Why exactly do we care about C2 continuity? I understand that C1 makes it look "smooth", but does C2 add anything? When would we need to differentiate it twice?
C2 continuity guarentees that our combined bezier surface is itself a bezier surface
I was confused by the above answer so I did some googling on why we want to ensure C2 continuity above C1. Turns out I found some really good answers on last year's slide comments! Thanks to @anup-h (now course staff) for starting this discussion!
@alexkassil and @glee- are essentially stating the same thing