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> There is no single continuous function that can do this Nitpick: that should be "no single continuous deterministic function"; it's (relatively) very easy to
by a1369209993 3y ago
> There is no single continuous function that can do this
Nitpick: that should be "no single continuous deterministic function"; it's (relatively) very easy to sample uniformly randomly from the unit circle orthogonal to a given non-zero vector, but that won't give, for example, approximately the same result on two consecutive video frames, such that you could usefully orient the camera with that direction "up".
- Sharlin 3y agoHow is that continuous? Sure, there’s a trivial continuous mapping from a vector to the set of vectors orthogonal to it, but that’s hardly relevant to the problem st hand. Anyway, functions are deterministic by definition unless explicitly specified otherwise in some context.