Systems, methods, and computer-readable medium for approximating mesh deformations for character rigs are disclosed. An embodiment includes applying a first deformation function to one or more mesh elements to determine an intermediate position based on a transform to a first structural element, wherein the one or more mesh elements are assigned to the first structural element, generating an offset based on a second deformation function for the one or more mesh elements using a deformation function approximation model, wherein the offset is a positional offset of the one or more mesh elements from the intermediate position to a target position corresponding to the transform applied to the first structural element, and generating a combined mesh deformation for the one or more mesh elements by combining the intermediate position and the offset.