1. A computer-implemented method comprising: receiving, at a processor, multiple images capturing an actor's facial performance at different instances in time; from each of the images, estimating, by the processor, position information indicating positions of a set of features on the actor's face, wherein the set of features include a first curve in a mouth region of the actor; for each of the images, defining, by the processor, based on the position information estimated from the image, a silhouette contour that represents a movable boundary between a visual portion and a hidden portion of the actor's mouth, wherein the silhouette contour is defined such that the silhouette contour corresponds to the first curve; producing, at the processor, one or more deformable models representing a surface of the actor's face at the different instances in time based on the position information estimated from the images; generating, by the processor, one or more corrective shapes based on the silhouette contour and correspondence between the silhouette contour and the first curve defined in the images; defining separation thresholds for closing the portion of the deformable model; and applying, by the processor, the corrective shapes to the one or more deformable models to adjust the mouth region of the one or more deformable models, wherein applying the corrective shapes to the one or more deformable models to adjust the mouth region of the one or more deformable models includes: adjusting an inner lip shape or a corner of the mouth region of the one or more deformable models of the animated character including closing the portion of the deformable model based on the separation thresholds.