Special Stitching for Fur

One thing that's eluded me is how to do a stitch when you have two pieces of fur showing and you need to stitch them together, but with the backing inaccessable. I've heard there was a kind of stitch that could be done that still hides the backing of the fabric and has the stitch be invisible. Here's an example of what I'm talking about:


I'd imagine one way to do it is just a simple sewing machine-esque stitch that just goes in and out, but with the two pieces of fur "curled in" on one another, but I'm not sure how well that would end up looking.