Given that I have the start, end and control points for a linear Bézier curve, I am trying to find the arc-distance between the start and end points. Google seems to be failing me this morning; can anyone point me in the right direction?
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A linear Bézier curve is just a straight line segment and so the answer is given by the Pythagorean theorem. For non-linear curves, see Arc Length of Bézier Curves.