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curve tangent to surface

curve tangent to surface

curve tangent to surface

(OP)
how to create a curve with tangent or curvature constrain to a surface at one end? (in freestyle or GSD)
one method is using projected or isoparametric curves on surface and applying tangent connection to that curve.
is there an easier way to do this?

another question is that how can i snap spline point to edges in freestyle? they snap to curves but not edges.

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