A face-processing system is described for producing a target image based on a source image and driving information. The source image includes data depicting at least a face of a source subject having a source identity, a source pose, and a source expression. The driving information specifies one or more driving characteristics. The target image combines characteristics of the source image and the driving information. According to illustrative implementations, the face-processing system produces the target image by using plural warping subcomponents that operate at plural respective levels of a neural network and at increasing respective resolutions. Each warping subcomponent operates, in part, based on geometric displacement field (GDF) information that describes differences between a source mesh derived from the source image and a driving mesh derived from the driving information.