-Pulling the looped threads so that they are flush with the piece (sometimes known laughingly as "pull and pray."
Rather than rewrite something has been documented well by someone else (although this piece was not woven on a Mirrix Loom) I am directing you to the following link: http://www.renzocrafts.com/weave_beads_on_a_loom.htm Click on her "book" link which is a PDF file. She has used one of those small metal looms where the warp is tied to a screw on either end. With the Mirrix (and this only really works well if you are not using the shedding device) do not cut your piece off the loom. Rather, release the tension and remove the warping bar. Then follow the directions in this PDF. I have had mixed success with this method. When weaving the piece you have to make sure you do not pierce the warp threads with your weft thread when sewing back through the beads.
-Weaving a header and a footer.
This method can be used weather or not you use the shedding device. Once you've finished weaving your piece and before you cut it off the loom, weave a header and footer using a needle and warp thread. Simply weave under and over the threads, going back and forth until you've created about a third of any inch of fiber weaving. This site has a good tutorial on this method: http://www.renzocrafts.com/weave_beads_on_a_loom.htm
Once you've woven your header and footer, remove your piece from the loom and tie overhand knots with pairs of warp threads. I like to weight my piece and stick a needle in the overhand knot to guide the knot as close to the body of bead woven piece as possible. Once you've tied off all the warps, trim them to about half an inch. Fold the header and footer to the back of the piece and sew them so they remain there. You will either have to back your piece with something like ultra-suede or attache it to a cuff or, if this is a beaded tapestry, attach it to some kind of backing.
-Sewing in your ends.
This is a method I do not employ because I find it tedious and rather difficult. Although with a thin piece and patience, it can be accomplished. See this link again for instructions: http://www.renzocrafts.com/weave_beads_on_a_loom.htm
-No warps to weave in method.
If you use our no warps end kit you will have no warps to weave in when finished. For pieces woven NOT using the shedding device this is a great option. Search this blog for examples of this method.