A method for simulating movement of a skin associated with a body comprises maintaining, by a computer, a representation of the skin comprising vertices, each vertex of the representation corresponding to a material point of the skin and comprising associated data, the associated data for each vertex comprising: constant body coordinates which represent a location of the material point of the skin relative to the body; and Eulerian skin coordinates specifying which one or more reference skin coordinates from among a set of reference skin coordinates correspond to the vertex at a particular time. Body coordinates and Eulerian skin coordinates may be maintained in two-dimensional spaces, which parameterize the surface of the body and skin.