1. A computer-implemented method of performing facial performance tracking of a subject using an anatomically-constrained model of a face of the subject, the method comprising: obtaining the anatomically-constrained model, the anatomically-constrained model including a combination of a local shape subspace and an anatomical subspace, the local shape subspace including deformation shapes for each patch of a plurality of patches representing a geometry of the face, wherein a deformation shape of a patch defines a deformation of the patch for an observed facial expression, and wherein the anatomical subspace includes an anatomical bone structure constraining each of the plurality of patches; obtaining motion data of the face of the subject as the subject conducts a performance; determining, for each patch using the motion data, parameters of the anatomically-constrained model that match a facial expression in the performance, the parameters including rigid local patch motion defining one or more positions of each patch on the face, local patch deformation of each patch defined by a combination of deformation components for each patch, and rigid motion of one or more underlying bones of the anatomical bone structure relative to each patch; modifying the plurality of patches using the determined parameters to match the plurality of patches to the facial expression in the performance; and combining the deformed plurality of patches into a global face mesh for the face.