1. A method comprising using at least one hardware processor for: receiving a three-dimensional model of an object, wherein the three-dimensional model is embodied as a digital file that comprises a representation of the object; receiving an audio sequence embodied as a digital file that comprises a musical composition; generating a video frame sequence, wherein the generating comprises computing a caricature of the object by applying a computerized caricaturization algorithm to the three-dimensional model, wherein the computing comprises: scaling gradient fields of surface coordinates of the three-dimensional model by a function of a Gaussian curvature of the surface, and finding a regular surface whose gradient fields fit the scaled gradient fields, wherein (a) the computing is with a different exaggeration factor for each of multiple ones of the video frames, and (b) the different exaggeration factor is based on one or more parameters of the musical composition of the audio sequence; and synthesizing the audio sequence and the video frame sequence into an audiovisual clip; wherein the applying of the computerized caricaturization algorithm is only to the three-dimensional model of the object and not to a reference three-dimensional model which is not the three-dimensional model of the object.