Held in 1170 TMCB. Refreshments will be served at 3:45 p.m.

Centroidal Voronoi tessellations (CVTs)

are special Voronoi diagrams for which the

generators of the diagrams are also the

centers of mass (with respect to a given

density function) of the Voronoi cells.

CVTs have many uses and applications,

several of which we discuss. These may

include data compression, image segmentation,

clustering, cell biology, territorial

behavior of animals, resource allocation,

grid generation in volumes and on surfaces,

meshless computing, hypercube sampling,

and reduced-order modeling. We

also discuss deterministic and probabilistic

methods for determining CVTs.