This method of rivet installation works for the type of rivet you often see on the coin pocket of ready-to-wear jeans. These are called nipple or sombrero rivets and they are flat with a little protrusion in the middle like a Mexican hat.
You can use the method so wonderfully shown in the BrianSews video tutorial with one added step. You will need a small metal washer with a center hole of about 1cm in diameter. The washer should be typical thickness of only 1mm.
Follow all steps for making hole in fabric, pushing stud portion of rivet through fabric, placing rivet head on top of stud. Now you will place the washer on your pounding anvil or thick piece of steel. Place the nipple part of the rivet head into the hole of the washer facing nipple side down. Hammer rivet into place.
The washer will protect the nipple portion of the rivet from being smashed and, if the washer is thin, the nipple will still touch the anvil protecting it from being blown out by the stud. Since the center hole in the washer is small the rivet won't bend or become misshapen.