How to offset a cubic bezier curve?

Question

I\'m trying to create a \"parrallel\" bezier curve. In my attempts I\'ve gotten close but no cigar. I\'m trying to keep a solid 1px offset between the 2 curves (red,blue).

Answer 1

From wikipedia: ( http://en.wikipedia.org/wiki/B%C3%A9zier_curve )

The curve at a fixed offset from a given Bézier curve, often called an offset curve (lying "parallel" to the original curve, like the offset between rails in a railroad track), cannot be exactly formed by a Bézier curve (except in some trivial cases). However, there are heuristic methods that usually give an adequate approximation for practical purposes.

You might also see the paper indicated here: Outline of cubic bezier curve stroke