1. A method of synthesizing realistic facial deformations for a computer graphics model of a face, including synthesizing fine-scale detail that includes skin wrinkling, the method comprising: (a) using a computer system, capturing data of the face, including one-dimensional fine-scale detail, for a plurality of different facial expressions; (b) using a computer system, learning the model of how the fine-scale detail observed in the data of (a) can be predicted from novel coarser-scale facial motion data based on the captured data of the face, including the fine-scale detail, for a plurality of different facial expressions, including deriving one or more deformation-driven polynomial displacement maps (PDMS) encoding displacements for a face undergoing motion; and (c) using a computer system, synthesizing fine-scale detail for the computer graphics model of the face based on the input of novel coarser-scale facial motion data using the learned model of (b), including the captured data of the face, including the fine-scale detail, for a plurality of different facial expressions.