Thanks for the file, pablum picasso.
I have no one click and go for that. I could think that this can be solved with a plug-in, but I’m not aware of a “cut edge if a 3rd party point is located there and melt points then”. I have seen it (the problem) from time to time, and it might be a good idea to suggest that to MAXON, or one of the plug-in wizard to do a “cut-magic” thingy.
Let me explain, to get perhaps a new model that works, or to help you to fix it.
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Please select the original file and use the: Main Menu>> Mesh> Commands> Modeling Settings [Shift+M]
Here use the Boundary Edges: Select. (image)
You get a green line, that is exactly the “border of segments that the model had. The complete model exist out of triangles. BUT: they do not share always two points. Sometimes they have the same location (!) for a part of the edge, but not the same points on both side. Some have, some not. Hence the in-homogeneous smoothness of the surface.
I’m not aware of any plug in or technique that could cut an edge to have always two points per triangle pair.
I have no idea if s/he can melt these parts first and then triangulate this. Some CAD apps for such “organic modeling” are based on mathematical descriptions, as in the ACIS engine. Which allowed for an resolution free modeling and then a density was set by given a max derivation angle from one polygon to the next. So, if the modeler could melt these “patches” first, and then triangulate, the mesh would work. For any hard edge you would have the need to select and break it.
My suggestion, as it seems kind of doable manually, cut into the triangles to have always that point-pair/edge as a standard.
Please have a look to the image, where the green circle is that is OK, the red lines are needed cuts to get a nice edge, after that optimize, but set the tolerance value pretty small that mesh is tight.
This is what the version of your file shows, but only cut isn’t connecting it. Optimize will help, but the mesh is real small, be careful, perhaps start with Tolerance 0.0001 or something weird small. See image, I pulled it out to showcase this. If you are patient enough, use the point weld option, to not screw up that mesh with optimize (optimize works alos with the selected only, which should be considered here.)
I saw also a little hole in it, but that is certainly not a problem for you.
Sorry I have no other options here.
All the best