For some related material on mesh simplification, see the book "Geometry and Topology for Mesh Generation" by Herbert Edelsbrunner.
The 2007 Siggraph course notes on Geometric Modeling Based on Polygonal Meshes by Mario Botsch, Mark Pauly, Leif Kobbelt, Pierre Alliez, Bruno Levy, Stephan Bischoff, and Christian Rössl.