It could have been so easy if the cowl and the mask were separate pieces, but it looks like it's all one.
You'll need a 3D modeling program like http://oblivion.nexusmods.com/mods/12248 (free) or 3DS. Once you learn the basics of navigating in the program you'll basically just be removing vertices you don't want.
Personally I use Blender, but since it does not yet import/export Skyrim nifs I found http://wiki.tesnexus.com/index.php/Creating_an_armour_for_Skyrim._Part_1 explains a work around very well of how to manipulate the mesh before and after to get it working. Because you'll be working with a rigged mesh, expect a steep learning curve.