Re:Show HN: A new spline
by abainbridge on Saturday December 22, 2018 @04:27AM
(#18739804)
I'm up to page 9 on your thesis, and have already learned many things. Your "empirical testing of fairness" section is great.
From your thesis:
> Intuitively, curvature is the position of the steering wheel when driving a car along the curve. Therefore, G2 continuity is equivalent to the lack of jerks of the steering wheel
I particularly like this analogy because I've worked simulating NPC cars in computer games and I found lack of G2 continuity of 3 Beziers annoying - the jerk of the steering wheel clearly put a sudden change of cornering forces through the suspension simulation which looked very unnatural.
From your thesis: > Intuitively, curvature is the position of the steering wheel when driving a car along the curve. Therefore, G2 continuity is equivalent to the lack of jerks of the steering wheel
I particularly like this analogy because I've worked simulating NPC cars in computer games and I found lack of G2 continuity of 3 Beziers annoying - the jerk of the steering wheel clearly put a sudden change of cornering forces through the suspension simulation which looked very unnatural.