It is a later type of doublet. The basquine is short and reaches only about hips. In our standard, the doublet is laced with five seperate laces. It is made from wool with linen lining. Can have puffed sleves for a surcharge as well. Example with puffed sleves you can find in the pictures.
Doublets probably originate from a part of military garments. Doubletes appeared in the middle of the 14th century. A doublet was worn under outer garments, although in some situations (like war campaign or work) it could be worn without outergarments. The cut of a doublet was well-fitted to the body. One of its basic functions was to hold the separate hose.