Simon Budig wrote: > Garry R. Osgood (gosgood@xxxxxxx) wrote: > <snipped...> bezier basis functions associated with the first and fourth > control points > > grow expotentially to unity, so manipulating Simon's path near control > ^^^^^ infinity? It waves at unity on its way to infinity ;) Though, strictly speaking, since the mapping is from the parameter space interval [0,...1] to the real line, the behaviour of the basis functions are moot for a parameter t < 0 or t > 1; the bezier basis functions partition unity (they always add up to one), and, at the zero boundary, the basis function scaling the first control point is just unity, the functions scaling the other points vanishing, which is why I had unity, not infinity, in mind. We can be both right; depends on how picky one wants to be in restricting the domain. I did look at the two path implementations last evening; I'm not particularly familiar with the code, so a clear integration path did not suggest itself. My schedule is reasonably light for January, will get hectic after, and though I've tasked myself primarily to bug detection/fixing, if there's a piece of this you think you can subtask, let me know. Timing, however, is very tight. If we keep our collective promise of releasing in March 2000 (like, March 31, 2000) then we only have 81 shopping days left. Be good, be well Garry Osgood
