This tutorial overviews recent exciting and rapidly evolving research on registration and correspondence finding across multiple deforming shapes. We address the basic techniques of three main topic areas: <br>Pair-wise local optimization methods <br>Pair-wise global optimization methods <br>Multi-scan correspondence and temporal sequence reconstruction. <br>The tutorial gives an introduction to deformable shape matching for attendees with a basic geometry processing background as well as providing an overview of the current state-of-the-art.