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Is this stupid?

Name: Anonymous 2009-02-17 0:25

x1 = a t^3 + b t^2 + c t + d
y1 = e t^3 + f t^2 + g t + h
x2 = i t + j
y2 = k t + l

Find all intervals of t such that 3d distance between (x1, y1, t) and (x2, y2, t) < n.

Basically I want to do continuous circle-circle collision detection, which with linear motion would be a simple capsule-capsule intersection, but one of the circles has non-linear motion.  Is this feasible or should I just give up now?

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