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project a non-planar 3D spline

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I often try to project a non-planar 3D spline to a plane or a sketch, and find that both the poles and the knots can also be projected precisely to the resulting 2D spline. I like this matching relationship.
 
But I have some concern about the reliability of the supposed projecting relationship between functional points on the 3D spline and those on the 2D spline.
 
Hope to have your comments. Thanks!

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