When would you use cubic bezier splines over catmull-rom splines?
It seems like cubic beside splines would give a more accurate (and possibly more smooth) approximation of the curve since you are inputting the slope information at each waypoint.
I got interested in basically the same question. What's the tradeoff of using certain methods of interpolation? I found a cool article about Bezier curves with graphics that you can manipulate. The main takeaway that I got is that splines like Bezier curves are easy to adjust, but the number of control points limits the precision of the curve. Sometimes you will need several more points in order to get the curve you want.