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I have a bezier curve and a plane as below. I would like to project the curve on the plane. Is this possible?

enter image description here

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  • $\begingroup$ Do you mean cut the curve into the plane, of just flatten the curve to the plane? $\endgroup$
    – Robin Betts
    May 13, 2022 at 9:24
  • $\begingroup$ @RobinBetts, I think I want to flatten the curve to the plane...not sure though :) I would like the curve to be projected to the plane in the mathematical sense. Right now it is a curve defined in the XZ-plane, it should be projected from the XZ-plane onto the plane defined by the mesh plane in the picture. $\endgroup$ May 13, 2022 at 9:26
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    $\begingroup$ Hmm! Good question! This is trickier than it seems at first. If you convert to a mesh, and are happy with that shape, then OK to; eg; 1. create custom orientation from the target face, 2. set pivot point in that plane, somewhere, and 3. Scale to 0 in Z of your custom orientation. Or: 1 Set snap to 'Project individual elements' 2. Align ortho view to plane with Shift-Numpad-7, and 3. tap 'G'. BUT. If you do those with the raw Bezier, it projects the control points too, and the resulting curve is very slightly different. $\endgroup$
    – Robin Betts
    May 13, 2022 at 10:03

2 Answers 2

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If you want a non-destructive way, just use the shrinkwrap modifier:

enter image description here

i set the offset only for demonstration purposes. You should leave it to 0.

and here a geometry nodes solution:

enter image description here

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Turn on snapping, project on face, and project individual elements.

enter image description here

Then select all points in curve in edit mode, press G and press LMB without moving points.

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    $\begingroup$ +1 to this and this. Very probably perfectly good enough. But see commentary on OP? $\endgroup$
    – Robin Betts
    May 13, 2022 at 10:29
  • $\begingroup$ Indeed, it's not a perfect projection (which is what I am looking for). In the end I manually calculated the correct projection and created the projected curve by hand. $\endgroup$ May 13, 2022 at 10:47

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