His publications are here: http://www.mit.edu/~parrilo/pubs/index.html. This one in particular: http://arxiv.org/pdf/0909.0808v1 looks like it might be related.
Favorite paper: minimal tetrahedralization of a convex polyhedron is NP-hard. http://arxiv.org/PS_cache/math/pdf/0012/0012177v1.pdf
http://www.math.ucdavis.edu/~deloera/RECENT_WORK/recent.html