No idea what "ByControlPoint" or "ByPolygonVertex" is, but I don't do anything weird when making UVW maps so it should be fine. The model was built in quads, but I exported it with the triangulation option checked. This also has an animation, may or may not work as I haven't done vertex animation in a very long time. I animated the actual mesh objects, one table leg should be on top of the table and the other should be moved to the centre of the table. Animation is only 10 frames. The format is FBX 2013 ASCII, Z axis up. Included is the folder structure & texture: https://www.dropbox.com/s/ylv5c0s1bg0k6ak/table%20fbx.zip