As Fabrice Closier has explained to me, the fix is to use repeat:true for material. Here is the full answer he gave:
Its not strange. Its because your model has uv’s values lower or exceeding 0-1. You need to set repeat:true to your material. The lines that you see are the pixels of your map (in this case the default engine bitmapdata) being stretched.
Thank you, Fabrice, very much!