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This animation from Wikipedia shows basically what I want to accomplish, however - I'm hoping to have it flipped around, where it starts progressing more towards the destination and "up" (in this image), and then arcs more directly to the end point. However, I only have access to a starting point and ending point, what I am hoping to do is be able to determine the other points by specifying a "height" (or width, whatever you want to call it), to determine how high the arc actually goes.

Bézier from wikipedia

Help or direction would be appreciated.

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    If I'm reading this correctly, he wants a cubic bezier identical to the one in the picture but reflected across the $y$ axis, and scaled vertically (fixed at the start and end points). He wants to be able to have the two other points in the bezier a function of the height (vertical scale) of the curve.2010-10-28

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I had a related problem, where I knew the four points (start, end, two control points) and needed to generate the height (which it turns out is called the Sagitta). Here's my question:

Find sagitta of a cubic Bézier-described arc

My maths isn't strong enough to work it backwards, but you may be able to decode it from one of the very helpful answers there.

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    I suspect that in the past 7 months the OP has either solved his problem or moved on.2011-05-23