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I need to find contact points between gum and teeth (see attached image) and draw a line on the collar of teeth (to use like working path on a laser machine), but i don't know how.
The line must be unique and follow the collar of every teeth.

I have a mesh for gum and a mesh for each tooth

Any ideas?

Much easyer....
See the attached image.

I have to indicate a point every 1 millimeter along the entire edge of the gum.
If you will be ok with a horizontal line, then you may use the slicing functionality to slice the 3D model with a horizontal plane. Then you can create a 2D line at the edge of the sliced 3D model. See the SliceSample in the "Advanced 3D objects" sample in the Ab3d.PowerToys samples.