Please note that equation 7 in our paper on learning part-based templates has a typeout, here is the corrected version:

Learning Part-based Templates from Large Collections of 3D Shapes
Vladimir G. Kim, Wilmot Li, Niloy J. Mitra, Siddhartha Chaudhuri, Stephen DiVerdi, and Thomas Funkhouser
Transactions on Graphics (Proc. of SIGGRAPH 2013)