How to export the unfolded image I'm seeing in the UV Image Editor as an SVG? I'm wanting to convert a 3D concave cylinder into a 2D image. I've brought it into Blender as an STL, generated a UV Image, and added a material. Looks good. I'm just learning Blender. So search results seemed to indicate that Paper Model add-in was the way to go to get 3D > 2D > SVG export. 

But I can't keep it from unwrapping mesh triangles into a thousand tiny, separate packed islands. When I use Export Paper Model, I don't get what I see in the UV/Image editor: the mesh flattened. Instead, each triangle has been separated out and packed with like kind, each with their own little numbered tabs. This would be really cool for creating paper models. I get that.

But I need bigger islands: I need exactly what I'm seeing in the UV Image Editor screen. Any way I can just export that to SVG?
You can export the UV-Layout as .svg file. In the UV-Editor, go to UV > Export UV Layout. Then select the file format as .svg.